of 13/13
Instantaneous Center of Zero Velocity Problems

# Instantaneous Center of Zero Velocity Problemskisi.deu.edu.tr/emine.cinar/DYNAMICS/FALL 2018/G18... · 2018-12-14 · instant considered. The disk contacts the surface at point C

• View
2

0

Embed Size (px)

### Text of Instantaneous Center of Zero Velocity Problemskisi.deu.edu.tr/emine.cinar/DYNAMICS/FALL...

• Instantaneous Center of Zero Velocity

Problems

• PROBLEMS

1. A device which tests the resistance to wear of two materials A and B is shown. If the link EO has a velocity of 1.2 m/s to the right when q = 45°, determine the rubbing velocity vA.

• PROBLEMS vEO =1.2 m/s to the right when q = 45°, determine the rubbing velocity vA.

DP

O

45 125

• PROBLEMS 2. Horizontal oscillation of the spring loaded plunger E is controlled by varying the air pressure in the horizontal pneumatic cylinder F. If the plunger has a velocity of 2 m/s to the right when q = 30°, determine the downward velocity of vD of roller D in the vertical guide and find the angular velocity w of ABD for this position.

• PROBLEMS vE = 2 m/s to the right when q = 30°, determine the downward velocity of vD of roller D and w of ABD .

P

30°

30°

200

2.173

2.173100

30°

• PROBLEMS

3. If the center O of the gear is given a velocity of vO = 10 m/s, determine the velocity of the slider block B at the instant shown.

• PROBLEMS

mBP

mABAP

ABBPAP

039.130cos)6.0(2

6.0

30sin120sin30sin

sm

v

gearA

gear

/143.17

175.0125.0

/143.57175.0

10

300.0

w

w

smBPv

v

ABB

AAB

/69.29

/57.28

w

w

vO = 10 m/s, determine vB .

vO

A vA

C

vB

P

30°

wAB

120°

30° B

• PROBLEMS 4. The mechanism used in a marine engine consists of a single crank AB and two connecting rods BC and BD. Determine the velocity of the pistons at C and D and angular velocities of rods BC and BD when the crank is in the position shown and has an angular velocity of 5 rad/s.

s/m.ABv ABB 1205 w

Cv

Dv

0.5 m

• s/m.ABv ABB 1205 w

Cv

Dv

P1 (IC for link BC) P2

D

B

30o

105o

45o

0.6

83 m

s/m.v

.

v

.

v

m.DP

m.BP

sin

DP

sin

BP

sin

.

D

BD

DBBD

5180

4641

35406830

1

3540

6830

3010545

50

2

2

22

w

w

P1

C

B 60o

75o

45o

0.5

46 m

smv

vv

mBP

mCP

BPCP

C

BC

CBBC

/896.0

/8315.1

489.0546.0

1

546.0

489.0

75sin60sin45sin4.0

1

1

11

w

w

0.5 m

• PROBLEMS 5. The mechanism shown is used at a riveting machine. The mechanism consists of a drive piston A, three links and sliding block D. If the velocity of piston at the instant shown is vA = 20 m/s, determine the angular velocity of link CD and the velocity of block D, vD. Use the Method of Instantaneous Center of Zero Velocity.

20 m/s

• 15

PROBLEMS

vA = 20 m/s, wCD = ?, vD = ?

20 m/s

20 m/s

45

PAC

PDC

• PROBLEMS 6. The center O of the stepped disk which rolls on the horizontal surface without slipping has a velocity of 6 m/s to the right at the instant considered. The disk contacts the surface at point C. Rod AB, attached to the disk with a pin connection at point A is also pin connected to a small roller at B. The roller B can move freely on the circular road which has a radius of 120 cm. Determine the angular velocity of rod AB (wAB) and the velocity of roller B (vB) for this instant.

O vO=6 m/s

r

R

60o

240 cm

100 cm

A

C

120 cm

B

37o

r=30 cm R= 50 cm

• PROBLEMS v0 = 6 m/s (→), wAB = ? vB = ?

O vO=6 m/s

r

R

60o

240 cm

100 cm

A

C

120 cm

B

37o

r=30 cm R= 50 cm

A

O

C

60

30

50

120

79.5190

21.38,6186.0sin,120sin

70sin50

70

120cos305023050 222

cmAC

AC

A

B

100

240

62.22

417.0240100

tan

cmAB 260100240 22

P

A

B

P

C79.51

3721.38

62.75

260

Bv

Av

Documents
Documents
Education
Documents
Career
Documents
Documents
Documents
Education
Documents
Documents
Documents
Education
Documents
Documents
Documents
Documents
Documents
Documents
Sports
Documents
Documents
Education
Documents
Documents
Career
Documents
Documents
Documents
Documents