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1 Code No: 09A50303 JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY, HYDERABAD B. Tech III Year I Semester Examinations, May/June – 2013 Dynamics of Machinery (Common to ME, MCT, AME, MIM) Time: 3 hours Max. Marks: 75 Answer any five questions All questions carry equal marks - - - 1.a) How do the effects of gyroscopic couple and of centrifugal force make the rider of a two wheeler tilt on one side? Derive a relation for the limiting speed of the vehicle. b) A thin circular disc is fitted to a shaft as shown in figure 1. Weight of the disc is 500N and diameter is 1.2m. Shaft rotates at 300rpm in anticlockwise direction when seen from the right side. Find the effect of the gyroscopic couple on the shaft, and the bearing reactions at A and B taking the effect of the weight of the disc. [7+8] Figure.1 2. A multi-disc clutch has 5 plates having four pairs of active friction surfaces. If the intensity of pressure is not to exceed 127kN/m 2 , find the power in kW transmitted at500rpm, if the outer and inner radii of friction surfaces are 1.25 mm and 75mm. respectively. Assume uniform wear and take the coefficient of friction as 0.3. [15] 3.a) Find a relation for the coefficient of fluctuation of speed in terms of the maximum fluctuation of energy and the kinetic energy of the flywheel at mean speed. b) What is meant by piston effort and crank effort? Explain. [9+6] 4. The arms of a Proell governor are 275 mm long and are pivoted on the axis of rotation. The extensions of the lower arms on which each ball is carried is 100 mm, long, and the weight of the ball is 5 kg. The central load on the sleeve is 75 kg. If the ball centres are vertically above the pin joint connecting the upper and lower arms when the radius of rotation is 187.5 mm, determine the corresponding equilibrium speed. Deduce the expression used. [15] 5.a) Three masses of 8 kg, 12 kg, and 15 kg attached at radial distances of 80, 100, and 60 mm respectively to a disc on a shaft are in complete balance. Determine the angular positions of the masses of 12 kg and 15 kg relative to the 8 kg mass. b) What do you understand by inside cylinder locomotives and outside cylinder locomotives? What is the effect of partial balancing of locomotive? [8+7] R09 ch has 5 plates havin ure is not to exceed 1 outer and inner radii of fri ume uniform wear and tak e coefficient of the kin gure.1 ch has 5 plates havin su 1 o of fri ume uniform wear and tak e coefficient of the kin igu as 5 plates h is not to exce r and inner ra uniform wea 1 slee u ad o e cen j 5 k v the ic we e g, a b m g, and the weight of the ball is 5 kg. The central load on the sleeve is 75 the i pivo a an i 5 m m or e ell i s o T T of ] xpl k ef rt an pisto mea W e ma erm spe c tua ien the elati F as 0 of f oeff tak ta tak m w w w me vely re tran wer ind 7kN exc is re i of in i i ] eigh t of g th nd B ons ing d th sh d e e se d uple ntic osco 0rpm of th ates he e Sh de. r is he r d d en 5 w n s f th W n fi as s o a c is ircu v A of on the hee H a e the pee orc lim ntri n f e an e a opic de? of ark e q y eq er ion A ns M M CT, to M Com 3 ne – , M min a mest m Year Tec 5030 No m ] d ||

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Page 1: Code No: 09A50303 JAWAHARLAL NEHRU · PDF fileJAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY, HYDERABAD ... A multi-disc clutch has 5 plates having four pairs of active friction surfaces

1

Code No: 09A50303

JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY, HYDERABAD

B. Tech III Year I Semester Examinations, May/June – 2013

Dynamics of Machinery

(Common to ME, MCT, AME, MIM)

Time: 3 hours Max. Marks: 75

Answer any five questions

All questions carry equal marks

- - -

1.a) How do the effects of gyroscopic couple and of centrifugal force make the rider of

a two wheeler tilt on one side? Derive a relation for the limiting speed of the

vehicle.

b) A thin circular disc is fitted to a shaft as shown in figure 1. Weight of the disc is

500N and diameter is 1.2m. Shaft rotates at 300rpm in anticlockwise direction

when seen from the right side. Find the effect of the gyroscopic couple on the

shaft, and the bearing reactions at A and B taking the effect of the weight of the

disc. [7+8]

Figure.1

2. A multi-disc clutch has 5 plates having four pairs of active friction surfaces. If the

intensity of pressure is not to exceed 127kN/m2, find the power in kW transmitted

at500rpm, if the outer and inner radii of friction surfaces are 1.25 mm and 75mm.

respectively. Assume uniform wear and take the coefficient of friction as 0.3. [15]

3.a) Find a relation for the coefficient of fluctuation of speed in terms of the maximum

fluctuation of energy and the kinetic energy of the flywheel at mean speed.

b) What is meant by piston effort and crank effort? Explain. [9+6]

4. The arms of a Proell governor are 275 mm long and are pivoted on the axis of

rotation. The extensions of the lower arms on which each ball is carried is 100

mm, long, and the weight of the ball is 5 kg. The central load on the sleeve is 75

kg. If the ball centres are vertically above the pin joint connecting the upper and

lower arms when the radius of rotation is 187.5 mm, determine the corresponding

equilibrium speed. Deduce the expression used. [15]

5.a) Three masses of 8 kg, 12 kg, and 15 kg attached at radial distances of 80, 100, and

60 mm respectively to a disc on a shaft are in complete balance. Determine the

angular positions of the masses of 12 kg and 15 kg relative to the 8 kg mass.

b) What do you understand by inside cylinder locomotives and outside cylinder

locomotives? What is the effect of partial balancing of locomotive? [8+7]

R09

Figure.1

2. A multi-disc clutch has 5 plates having four pairs of active friction surfaces. If the

intensity of pressure is not to exceed 127kN/m

at500rpm, if the outer and inner radii of friction surfaces

respectively. Assume uniform wear and take

) Find a relation for the coefficient of fluc

fluctuation of energy and the kinetic en

Figure.1 Figure.1

2. A multi-disc clutch has 5 plates having four pairs of active friction surfaces. If the

intensity of pressure is not to exceed 127kN/m

at500rpm, if the outer and inner radii of friction surfaces

respectively. Assume uniform wear and take

) Find a relation for the coefficient of fluc

fluctuation of energy and the kinetic en

Figure.1

2. A multi-disc clutch has 5 plates having four pairs of active friction surfaces. If the

is not to exceed 127kN/m

at500rpm, if the outer and inner radii

respectively. Assume uniform wear and take

Figure.1

mm, long, and the weight of the ball is 5 kg. The central load on the sleeve is 75

t connecting the upper and

mm, long, and the weight of the ball is 5 kg. The central load on the sleeve is 75

t connecting the upper and

mm, long, and the weight of the ball is 5 kg. The central load on the sleeve is 75

rtically above the pin join

mm, long, and the weight of the ball is 5 kg. The central load on the sleeve is 75

rtically above the pin join

mm, long, and the weight of the ball is 5 kg. The central load on the sleeve is 75

rtically above the pin join

mm, long, and the weight of the ball is 5 kg. The central load on the sleeve is 75

kg. If the ball centres are ve

mm, long, and the weight of the ball is 5 kg. The central load on the sleeve is 75

kg. If the ball centres are ve

mm, long, and the weight of the ball is 5 kg. The central load on the sleeve is 75 mm, long, and the weight of the ball is 5 kg. The central load on the sleeve is 75

mm long and are pivoted on the axis of

ms on which each ball is carried is 100

mm long and are pivoted on the axis of

ms on which each ball is carried is 100

mm long and are pivoted on the axis of

ms on which each ball is carried is 100

4. The arms of a Proell governor are 275 mm long and are pivoted on the axis of

ms on which each ball is carried is 100

4. The arms of a Proell governor are 275

rotation. The extensions of the lower ar

4. The arms of a Proell governor are 275

rotation. The extensions of the lower ar

4. The arms of a Proell governor are 275

rotation. The extensions of the lower ar

4. The arms of a Proell governor are 275 mm long and are pivoted on the axis of

ank effort? Explain. [9+6] ank effort? Explain. [9+6] ank effort? Explain. [9+6] ank effort? Explain. [9+6] ank effort? Explain. [9+6] b) What is meant by piston effort and cr b) What is meant by piston effort and cr b) What is meant by piston effort and cr b) What is meant by piston effort and cr

tuation of speed in terms of the maximum tuation of speed in terms of the maximum tuation of speed in terms of the maximum ) Find a relation for the coefficient of fluctuation of speed in terms of the maximum ) Find a relation for the coefficient of fluc) Find a relation for the coefficient of fluc) Find a relation for the coefficient of fluc3.a) Find a relation for the coefficient of fluc

friction as 0.3. [15] the coefficient of friction as 0.3. [15] the coefficient of respectively. Assume uniform wear and takerespectively. Assume uniform wear and takerespectively. Assume uniform wear and takerespectively. Assume uniform wear and takerespectively. Assume uniform wear and takerespectively. Assume uniform wear and takerespectively. Assume uniform wear and takerespectively. Assume uniform wear and takerespectively. Assume uniform wear and takerespectively. Assume uniform wear and take

, find the power in kW transmitted , find the power in kW transmitted , find the power in kW transmitted is not to exceed 127kN/mis not to exceed 127kN/mis not to exceed 127kN/mintensity of pressure is not to exceed 127kN/mintensity of pressure intensity of pressure is not to exceed 127kN/mis not to exceed 127kN/mis not to exceed 127kN/m

disc. [7+8]

B taking the effect of the weight of the

disc. [7+8]

B taking the effect of the weight of the

disc. [7+8]

B taking the effect of the weight of the

disc. [7+8]

shaft, and the bearing reactions at A and B taking the effect of the weight of the

disc. [7+8]

shaft, and the bearing reactions at A and

disc. [7+8]

shaft, and the bearing reactions at A and

disc. [7+8]

shaft, and the bearing reactions at A and

disc. [7+8]

shaft, and the bearing reactions at A and

disc. [7+8]

B taking the effect of the weight of the

when seen from the right side. Find the effect of the gyroscopic couple on the

at 300rpm in anticlockwise direction

when seen from the right side. Find the effect of the gyroscopic couple on the

at 300rpm in anticlockwise direction

when seen from the right side. Find the effect of the gyroscopic couple on the

at 300rpm in anticlockwise direction

when seen from the right side. Find the effect of the gyroscopic couple on the

500N and diameter is 1.2m. Shaft rotates

when seen from the right side. Find the effect of the gyroscopic couple on the

500N and diameter is 1.2m. Shaft rotates

when seen from the right side. Find the effect of the gyroscopic couple on the

500N and diameter is 1.2m. Shaft rotates

when seen from the right side. Find the effect of the gyroscopic couple on the

500N and diameter is 1.2m. Shaft rotates

when seen from the right side. Find the effect of the gyroscopic couple on the

500N and diameter is 1.2m. Shaft rotates

when seen from the right side. Find the effect of the gyroscopic couple on the

at 300rpm in anticlockwise direction

t as shown in figure 1. Weight of the disc is t as shown in figure 1. Weight of the disc is t as shown in figure 1. Weight of the disc is t as shown in figure 1. Weight of the disc is t as shown in figure 1. Weight of the disc is b) A thin circular disc is fitted to a shafb) A thin circular disc is fitted to a shafb) A thin circular disc is fitted to a shaf

vehicle.

b) A thin circular disc is fitted to a shaf

1.a) How do the effects of gy

a two wheeler tilt on one side? Derive a relation for the limiting speed of the

1.a) How do the effects of gy

a two wheeler tilt on one side? Derive a relation for the limiting speed of the

1.a) How do the effects of gy

a two wheeler tilt on one side? Derive a relation for the limiting speed of the a two wheeler tilt on one side? Derive a relation for the limiting speed of the

ugal force make the rider of

a two wheeler tilt on one side? Derive a relation for the limiting speed of the

ugal force make the rider of

a two wheeler tilt on one side? Derive a relation for the limiting speed of the

roscopic couple and of centrif

a two wheeler tilt on one side? Derive a relation for the limiting speed of the

roscopic couple and of centrif

a two wheeler tilt on one side? Derive a relation for the limiting speed of the

roscopic couple and of centrif

a two wheeler tilt on one side? Derive a relation for the limiting speed of the

ugal force make the rider of

All questions carry equal marks

Answer any five questions

All questions carry equal marks

Answer any five questions

All questions carry equal marks All questions carry equal marks

Answer any five questions

Time: 3 hours Max. Marks: 75 Time: 3 hours Max. Marks: 75

(Common to ME, MCT, AME, MIM)

Time: 3 hours Max. Marks: 75

(Common to ME, MCT, AME, MIM)

Time: 3 hours Max. Marks: 75

(Common to ME, MCT, AME, MIM)

Time: 3 hours Max. Marks: 75

(Common to ME, MCT, AME, MIM)

Time: 3 hours Max. Marks: 75 Time: 3 hours Max. Marks: 75 Time: 3 hours Max. Marks: 75

(Common to ME, MCT, AME, MIM)

B. Tech III Year I Semester Examinations, May/June – 2013 B. Tech III Year I Semester Examinations, May/June – 2013 B. Tech III Year I Semester Examinations, May/June – 2013

Dynamics of Machinery

B. Tech III Year I Semester Examinations, May/June – 2013

Dynamics of Machinery

B. Tech III Year I Semester Examinations, May/June – 2013 B. Tech III Year I Semester Examinations, May/June – 2013

Code No: 09A50303 Code No: 09A50303

tuation of speed in terms of the maximum

friction as 0.3. [15]

, find the power in kW transmitted

||

Page 2: Code No: 09A50303 JAWAHARLAL NEHRU · PDF fileJAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY, HYDERABAD ... A multi-disc clutch has 5 plates having four pairs of active friction surfaces

2

6.a) A single cylinder engine of total mass 20 kg is to be mounted on an elastic

support which permits vibratory movement in vertical direction only. The elastic

support consists of three springs of stiffness ‘k’ N/m each. If the unit operates at

580 rpm, what should be the value of spring constant ‘k’, if only 10% of the

shaking force of the unit is to be transmitted to the support structure?

b) Explain what do you understand by over-damped system, under-damped system,

and critically damped system. [10+5]

7. A reciprocating mechanism with two external forces P and F3 is shown in

figure.2. For the configuration shown, the impending motion of the slider is to the

right, and the friction angle is . Determine the couple C2on link 2 for static

equilibrium. [15]

Figure.2

8.a) Distinguish between the three-position synthesis and four-position synthesis with

respect to their applications.

b) Write and explain the Freudenstein’s equation with respect to a four bar

mechanism. [7+8]

********

respect to their applications.

b) Write and explain the Freudenstein’s

mechanism. [7+8]

********

Figure.2

8.a) Distinguish between the three-position synthesis and four-position synthesis with

respect to their applications.

b) Write and explain the Freudenstein’s equation with respect to a four bar

8.a) Distinguish between the three-position

respect to their applications.

b) Write and explain the Freudenstein’s

mechanism. [7+8]

********

mechanism. [7+8]

Figure.2

8.a) Distinguish between the three-position synthesis and four-position synthesis with

respect to their applications.

b) Write and explain the Freudenstein’s equation with respect to a four bar

mechanism. [7+8]

b) Write and explain the Freudenstein’s

mechanism. [7+8]

********

Figure.2

synthesis and four-position synthesis with

respect to their applications.

******** ******** ******** ********

equation with respect to a four bar equation with respect to a four bar equation with respect to a four bar equation with respect to a four bar equation with respect to a four bar equation with respect to a four bar b) Write and explain the Freudenstein’sb) Write and explain the Freudenstein’sb) Write and explain the Freudenstein’sb) Write and explain the Freudenstein’sb) Write and explain the Freudenstein’sb) Write and explain the Freudenstein’sb) Write and explain the Freudenstein’sb) Write and explain the Freudenstein’s

synthesis and four-position synthesis with synthesis and four-position synthesis with synthesis and four-position synthesis with synthesis and four-position synthesis with synthesis and four-position synthesis with synthesis and four-position synthesis with synthesis and four-position synthesis with synthesis and four-position synthesis with synthesis and four-position synthesis with 8.a) Distinguish between the three-position 8.a) Distinguish between the three-position 8.a) Distinguish between the three-position 8.a) Distinguish between the three-position

Figure.2 Figure.2

right, and the friction angle is

equilibrium. [15]

right, and the friction angle is

equilibrium. [15]

right, and the friction angle is

equilibrium. [15] equilibrium. [15]

on link 2 for static

equilibrium. [15]

on link 2 for static

equilibrium. [15]

. Determine the couple C

equilibrium. [15]

. Determine the couple C

equilibrium. [15] equilibrium. [15]

on link 2 for static . Determine the couple C

pending motion of the slider is to the

is shown in

pending motion of the slider is to the

7. A reciprocating mechanism with two external forces P and F

pending motion of the slider is to the

7. A reciprocating mechanism with two external forces P and F

pending motion of the slider is to the

7. A reciprocating mechanism with two external forces P and F

figure.2. For the configuration shown, the im

7. A reciprocating mechanism with two external forces P and F

figure.2. For the configuration shown, the im

7. A reciprocating mechanism with two external forces P and F

figure.2. For the configuration shown, the im

7. A reciprocating mechanism with two external forces P and F

figure.2. For the configuration shown, the im

7. A reciprocating mechanism with two external forces P and F

figure.2. For the configuration shown, the im

is shown in

and critically damped system. [10+5] and critically damped system. [10+5] and critically damped system. [10+5] and critically damped system. [10+5] and critically damped system. [10+5] and critically damped system. [10+5] and critically damped system. [10+5] and critically damped system. [10+5] and critically damped system. [10+5]

by over-damped system, under-damped system, by over-damped system, under-damped system,

transmitted to the support structure?

by over-damped system, under-damped system,

transmitted to the support structure?

by over-damped system, under-damped system,

transmitted to the support structure?

by over-damped system, under-damped system,

shaking force of the unit is to be

b) Explain what do you understand

shaking force of the unit is to be

b) Explain what do you understand

shaking force of the unit is to be

b) Explain what do you understand

shaking force of the unit is to be

b) Explain what do you understand

transmitted to the support structure? shaking force of the unit is to be

’ N/m each. If the unit operates at

’, if only 10% of the

’ N/m each. If the unit operates at

’, if only 10% of the

’ N/m each. If the unit operates at

580 rpm, what should be the value of spring constant ‘

support consists of three springs of stiffness ‘

580 rpm, what should be the value of spring constant ‘

support consists of three springs of stiffness ‘

580 rpm, what should be the value of spring constant ‘

support consists of three springs of stiffness ‘

580 rpm, what should be the value of spring constant ‘

support consists of three springs of stiffness ‘

580 rpm, what should be the value of spring constant ‘

support consists of three springs of stiffness ‘ ’ N/m each. If the unit operates at support consists of three springs of stiffness ‘

6.a) A single cylinder engine of total ma6.a) A single cylinder engine of total ma6.a) A single cylinder engine of total ma ed on an elastic ss 20 kg is to be mountss 20 kg is to be mss 20 kg is to be m6.a) A single cylinder engine of total ma ed on an elastic

equation with respect to a four bar b) Write and explain the Freudenstein’s

2right, and the friction angle is

||