BTEC HND in Mechanical Engineering€¦ · BTEC HND in Mechanical Engineering ... form wherever possible. Referencing Use Harvard style of referencing (A software package such as

BTEC HND in Mechanical Engineering

Applied Physics – Assignment 01 International College of Business and Technology

Unit / Module Applied Physics

Assessment Assignment 01: Basic Concepts

Lecturer Mr Mihiran Pathmika

Student Name ID HND/MT/__/___

Date Handed Over 21 November 2012 Date Due

Initial Submission Date Re-Submission

Date

Stu

den

t to

Tic

k i

f

Att

empte

d

Grading

Opportunity

Criteria Met?

Assessor Feedback Initially

On

Resubmission

P1.1

P1.2

P1.3

P1.4

P1.5

P1.6

P1.7

P1.8

P1.9

P2.1

P2.2

P2.3

P3.1

P3.2

P4.1

P4.2

P5.1



P5.2

M1

M2

M3

D1

D2

D3

Assessed By(Name):

Signature: Date:

Student Signature & Comments:



Important Information for Students

The criteria each task relates to are shown against that task where possible.

Please note that plagiarism is treated as a serious offence and therefore the work you produce

must be individual and original although may work in groups in some instances (Please refer

to Student Handbook on Plagiarism & Cheating).

All sources of information must be referenced using “Harvard referencing” where a reference

list/Bibliography should be included at the end of the assignment.

Please note that the submission date given for this assignment is the final date that you can hand

over the assignment. A one week grace period maybe extended with prior approval from the

Program Manager – Undergraduate. However, note that submissions handed in one week

late will be graded lower (Please refer to the Student Handbook on Assessments - Late

Submissions & Penalties).

Assignments returned to students for re-working must be re-submitted within 10 days (Please

refer to Student Handbook on Assignments – Re-submission).

Failure to re-submit the previously marked assignment with the re-submitted assignment will

mean that results cannot be released for the respective unit.

Please read, follow and reference both the contents of the unit outline and the grading criteria

of the assignment before completing this assignment.

Report Structure

Paper Size A4

Printing or hand written Single Side

Fonts Times New Roman

Line spacing 1.5 pt

Diagrams Where diagrams are need draw them clearly and to

a sufficiently large scale.

Colours No limitation

Presenting format As a report. However, give brief answers in point

form wherever possible.

Referencing Use Harvard style of referencing (A software

package such as zotero can help you to reduce

repetitive work significantly)



Plagiarism:

While research and discussion are an essential part of an assignment, the deliberate copying of someone

else’s work or unacknowledged copying from printed or electronic sources is NOT permitted. You may

be subject to disciplinary procedure if you do this. You should sign this sheet to show that you comply

with these regulations.

Student’s Signature: ……………………………….. Date: .…………………...................

Student’s Comments:

………………………………………………………………………………………………………………

…………………………………………………....…………………………....……………………………

…………………………………………………………………......................................................................

....................................................................................................................................



Task: 01

a. Define the following terms. (Must not use more than two sentences. You need to use

sketches where ever possible). (P1.1)

I. Physics II. Vector III. Scalar

b. State the Triangular Law of vector Addition and the Parallelogram Law of Vector Addition

(P1.1)

c. A man can swim in still water with a speed of 4 km h-1

. The river is flowing at 3 km h-1

and

the man makes his strokes normal to the river current.

I. Draw a sketch to illustrate the above incident and mark the vectors in the sketch

itself. (P1.1)

II. Define the velocity vectors associated with the incident in Task 1.c.III with standard

notations (i.e. ) (P1.1)

III. Apply triangular law of vector addition to find the actual velocity of the man. (i.e.

w.r.t earth) (P1.1)

IV. What is the time taken by him to cross a 1 km wide river? (P1.2)

d. Vectors can be multiplied by two different ways called vector product and scalar product

I. Define vector product of vectors and scalar product of vectors (M1)

II. What is the scalar product and vector product of the following vectors (M1)



Task: 02



i. Distance ii. Displacement iii. Speed iv. velocity v. acceleration

b. An elevator is moving upwards with a constant speed of 10 ms-1

. A man standing in the

elevator drops a coin from a height of 2.5 m. What is the time that the coin would take to

reach the floor of the elevator? (P1.2)

c. A particle is projected vertically upwards. If t1 and t2 be the times at which it is at height

h while ascending and descending respectively, show that . Also find the

velocity of projection (P1.2)

Task: 03





b. A mass is attached to one end of a light string wound around a

wheel of moment of inertia I and radius R (Figure 3.b). The wheel

is free to rotate about its axis which is horizontal. Find the tension

in the string, the acceleration of m and its speed after it has fallen a

distance h from rest. (P1.3)

c. A hollow cylinder of radius 10 cm rotates about its axis which is vertical. A small body

remains in contact with the inner wall if the frequency of rotation is 200 per minute but falls

at lower frequencies. Find the co-efficient of friction between the body and the cylinder.

(P1.3)

Task: 04



b. A plumb bob hanging from the ceiling of a car acts as an accelerometer. Derive an

expression relating the horizontal acceleration a of the car to the angle θ made by the

string with the vertical. (P1.4)

c. How do you improve this accelerometer to get direct readings? Give a simple design with

a sketch and explain how it works. (D1)

Figure 3.b



d. A body of weight 64 N is pushed with just enough force to start it moving across a

horizontal floor and the same force continue to act afterwards. If the coefficients of static

and dynamic friction are 0.6 and 0.4 respectively, calculate the acceleration of the body.

(P1.4)

Task: 05



b. A uniform chain of length L and mass m is held on a smooth table with one fourth of its

length hanging over the edge, if g is the acceleration due to gravity; find the work

required to pull the hanging part on the table. (P1.5)

Task: 06



b. A hollow sphere of inner radius 8 cm and outer radius 9 cm floats half submerged in a

liquid of density 800 kg m-3

. Find

i. Mass of the sphere (P1.5)

ii. The density of the material of which the sphere is made (P1.5)



c. Water stands at a depth H in a tank, whose side walls are vertical. A hole is made on one

of the walls at a depth h below the water surface. Find at what distance from the foot of

the wall does the emerging stream of water strike the floor and for what value of h this

range is maximum? (P1.6)

Task: 07



b. A spherical ball of radius 1 × 10 -4

m and of density 104 kg m

-3 falls freely under gravity

through a distance h before entering a tank of water. If after entering the water the

velocity of the ball does not change, find h. The coefficient of viscosity of water is 9.8

×10 -6

N s m-2

. (P1.7)

Task: 08



b. A light rod of length 200 cm is suspended from the ceiling horizontally by means of two

vertical wires of equal lengths tied to its ends. One of the wires is made of steel and is of



cross section 0.1 cm2 and the other is of brass of cross section 0.2 cm

2. If the Young’s

Modulus of brass and Young’s Modulus of steel are 1 × 107

N cm-2

and 2 × 107

N cm-2

respectively, find the position along the rod at which a weight may be hung to produce

i. Equal stress in both wires (P1.8)

ii. Equal strains in both wires (P1.8)

Task: 09



b. A uniform rod of length 1 m and mass 200 g is pivoted at one end and is hanging vertically.

It is displaced through 60 0 from the vertical. Find the increase in its potential energy.

(P1.9)

c. When a spring is compressed by 4 cm, the elastic potential energy stored in it is U. What

will be the potential energy stored in it when it is compressed by 20 cm? (P1.9)

d. A bullet, when fired at a fixed target, has its speed decreased to 50 % after penetrating 15

cm in to it. What additional thickness it will penetrate before coming to rest? (P1.9)

e. Bullet of mass 10 g strikes a fixed target and penetrates 8 cm in to it. If the average

resistance offered by the target to the bullet is 100 N, find the velocity with which the

bullet hits the target. (P1.9)



Task: 10



b. Suppose a tunnel is dug through the earth from one side to the other along a diameter.

Assuming that the frictional forces are negligible and the earth has a uniform density

equal to 5.5 × 103 kgm

-3.

i. Show that the motion of a particle dropped in to a tunnel is simple

harmonic. (D3)

ii. Find the periodic time of the motion (P2.1)

Task: 11



b. A string of length 2l, obeying Hooke’s Law, is stretched so that its extension is l. The

speed of transverse waves in the string is v. If the string is further stretched so that the

extension becomes 4l, what will be the speed of transverse waves in the string? (P2.1)



c. A sound has an intensity of 2 × 10-8

W m-2

. Find the intensity level of the sound. (P2.2)

d. A boat at anchor is rocked by waves of velocity 25 ms-1

, having crests 100 m apart. What

is the periodic time of the oscillation? (P2.3)

Task: 12



b. A cylinder of radius R made of a material of thermal conductivity K1 is surrounded by a

cylindrical shell of inner radius R and outer radius 2R made of a material of thermal

conductivity K2. The two ends of the combined systems are maintained at two different

temperatures. There is no loss of heat across the cylindrical surface and the system is in

steady state. Find the effective thermal conductivity of steel. (P3.1)

c. A body cools from 50.0 0C to 49.9

0C in 5 s. How long will it take to cool from 40

0C to

39.9 0C? Assume the temperature of the surroundings to be 30.0

0C and Newton’s Law of

cooling to be valid. (P3.1)

d. A black body radiates heat energy at the rate of 2 × 105 J s

-1 m

-2 at a temperature of 127

0C. Find the temperature of the black body, at which the rate of heat radiation is 32 × 10

5

J s-1

m-2

. (P3.1)



e. A sample of gas undergoes an adiabatic process. If the sample changes its internal energy

by 100 J during the process and if the gas contains 2 mol, find the work done by the gas

on the surroundings. (P3.1)

Task: 13


sketches where ever possible). (P4.1, P4.2)

b. Find the equivalence resistance across A and C of the resistor system (Figure 1) if the

each side has a resistance R.

c. Find the current through the current in the branch AB using Kirchhoff’s Laws. (P4.1)

i. Verify the answer with Ohm’s Law (P4.1)

(Hint: identify the equipotential points)

Figure 1

Figure II



Task: 14


sketches where ever possible. (P5.1)

b. Briefly describe how does an intrinsic semiconductor (doped with donor element and

acceptor element) becomes n-type or p-type semiconductor. (P5.1)

c. Briefly discuss the process of generating a potential barrier across a p-n junction. (P5.2)

d. Briefly discuss five modern applications of LED and their advantages and disadvantages

(M2)



Outcomes and Assessment Criteria

Outcomes

Assessment criteria for pass

To achieve each outcome a learner must demonstrate the ability

to:

P1. Understand

Mechanics,

Mechanical Energy

and Properties of

Matter and solve

problems

1. Define the related vector quantities and apply the theories in

vector addition

2. Define the related quantities and solve problems related to

rectilinear motion and projectiles using equations of motion

3. Define the related quantities and solve problems related to

angular motion using equations of angular motion

4. Define the related quantities and apply Newton’s laws in

solving problems

5. Define the related quantities and apply basic theories in

hydrostatics

6. Describe fluid flow and Apply Bernoulli’s Theorem

7. Define the related quantities and Apply Stoke’s law in solving

problems

8. Define the related quantities and Apply Hooke’s law in solving

problems

9. Define kinetic and potential energy and apply them in solving

problems

P2. Understand Waves

and Vibrations

1. Identify the simple harmonic motion in physical phenomena and

derive equations for their periodic times.

2. Calculate sound intensity level

3. Describe the types and characteristics of waves and use v= f λ in

problem solving.

P3. Understand

Thermal Physics

1. Describe conduction, convection and radiation and apply Furrier

law, Newton’s cooling law and Stephan-Boltzmann Law in

solving problems

2. Define the related quantities and Apply first law of

thermodynamics in solving problems

P4. Understand

current

electricity

1. Find the equivalent resistances of various resistor arrangements.

2. Apply Kirchhoff’s laws and Ohm’s Law in solving problems

P5. Understand

basic

Electronics

1. Describe semiconductor theory (Qualitative)

2. Describe p-n junctions



Merit/Distinction Grade: Merit/Distinction Grade is achieved by meeting all following Grade descriptors

Merit descriptors Indicative characteristics Contextualised

Evidence/Examples

In order to achieve a

distinction the learner

must:

The learner’s evidence shows: To achieve the grade you will

need to:

M1 identify and apply

strategies to find

appropriate solutions

Effective judgments have been made

Complex problems with more than one

variable have been explored

An effective approach to study and research

has been applied

demonstrate that an effective

approach has been applied to

study and research when

answering Task 1.d

M2 select/design and apply

appropriate

methods/techniques

Relevant theories and techniques have been

applied

A range of methods and techniques have been

applied

A range of sources of information has been

used

The selection of methods and

techniques/sources has been justified the

design of methods/techniques has been

justified

Complex information/data has been

synthesised and processed appropriate learning

methods/techniques have been applied

Use a range of sources if

information to answer Task

14.d

M3 present and

communicate

appropriate findings

The appropriate structure and approach

has been used

Coherent, logical development of

principles/concepts for the intended audience

A range of methods of presentation have been

used and technical language has been

accurately used

Communication has taken place in familiar and

unfamiliar contexts

The communication is appropriate for familiar

and unfamiliar audiences and appropriate

media have been used

Use an appropriate structure

and approach throughout the

report. Use clear diagrams

and communicate your ideas

and solutions clearly.

Font and formatting

Table of contents

References (Harvard ref.)

Captions for the diagrams

Numbering system

Page numbers

Will be evaluated.



Distinction descriptors Indicative characteristics

Contextualised

Evidence/Examples

In order to achieve a

distinction the learner

must:

The learner’s evidence shows: To achieve the grade you will

need to:

D1 use critical reflection to

evaluate own work and

justify valid

conclusions

Conclusions have been arrived at through

synthesis of ideas and have been justified

The validity of results has been evaluated

using defined criteria

Self-criticism of approach has taken place

Realistic improvements have been

proposed against defined characteristics

for success

give a realistic improvement

to the accelerometer in Task

4.c

D2 take responsibility for

managing and

organizing activities

Autonomy/independence has been

demonstrated

Substantial activities, projects or

investigations have been planned, managed

and organized

Activities have been managed

The unforeseen has been accommodated

Importance of interdependence has been

recognized and achieved

demonstrate independence

throughout the report by

showing all the steps in

calculations, using your own

words and sketches.

submit the completed

assignment before the

deadline

D3 Demonstrate

convergent/lateral/cr

eative thinking

Ideas have been generated and decisions

taken

Self-evaluation has taken place

Convergent and lateral thinking have

been applied

Problems have been solved

Innovation and creative thought have

been applied

Receptiveness to new ideas is evident

Effective thinking has taken place in

unfamiliar contexts

Demonstrate effective

thinking in answering Task

10.b.i



Grading Matrix

Assignment_ 01

P1.1

P1.2

P1.3

P1.4

P1.5

P1.6

P1.7

P1.8

P1.9

P2.1

P2.2

P2.3

P3.1

P3.2

P4.1

P4.2

P5.1

P5.2

M1

M2

M3

D1

D2

D3

Documents

BTEC HND in Mechanical Engineering€¦ · BTEC HND in Mechanical Engineering ... form wherever possible. Referencing Use Harvard style of referencing (A software package such as