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LIST OF ASSIGNMENTS (I-V)

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LIST OF ASSIGNMENTS

(I-V)

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V.S.B. ENGINEERING COLLEGE, KARUR

DEPARTMENT OF MECHANICAL ENGINEERING

ACADEMIC YEAR: 2010-2011 (EVEN SEMESTER)

ENGINEERING MECHANICS (MECH ‘A’ – II SEM)

ASSIGNMENT – I

PART-A

1.  Define Mechanics2. What is meant by static’s & dynamics?3. Distinguish between a particle and a rigid body.4. List out the laws of mechanics.5. State Lami’s theorem.

PART-B

1. Five forces are acting on a particle. The magnitudes of the forces are 300 N, 600 N

700 N, 900 N & P and they are acting as shown. If the sum of all the vertica

component forces is -1000 N. Find the value of P. Also calculate the magnitude and

direction of the resultant.

2. Four forces act on a bolt A as shown. Determine the resultant of the forces on the

bolt. 

x

600 N

300 N

P

900 N

700 N

60°

30°

45°

0

Y

30°

15°

20°

F1 = 150 N

F4 = 100 N

F2 = 80 N

F3 = 110 N

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60°30°

120°

1000 N

1000 N

B

A D

C

3. Members OA, OB, OC form a threemember space truss. A weight of 10 KN is

suspended at the joint O as shown in

figure. Determine the magnitude and

nature of forces induced in each of the

three members of the truss

ASSIGNMENT – II

PART-A

1. What is a free body diagram?2. What is meant by free body?3. Give the procedure to get the unknown reaction forces when number of 

forces acting on a body and keeping it in equilibrium.

4. What is meant by action and reaction?5. Explain about moment of a force.

PART-B

1. A string ABCD, attached to two fixed points A and D has two equal weights of 

1000 N attached to it at B and C. The weights rest with the portions AB and CD

inclined at angles of 30° and 60° respectively, to the vertical as shown in fig.

Find the tensions in the portions AB, BC and CD of the string, if the inclination of 

the portion BC with the vertical is 120°

B

C

Y

Z

X

A

10 KN

4 m

O3 m

2 m

4 m

D

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1. A 3000 N vertical force is applied to the end of a lever which is attachedto a shaft at O as shown in fig. Determine

i. the moment of 3000 N force about Oii. the magnitude of the horizontal force applied at A, which created thesame amount about O.iii. the smallest force applied at A, which creates same moment about O.

iv. How far from the shaft a 750 N vertical force must act to create thesame moment about O.

2.Blocks A and B of weight 200 N and100 N respectively,rest on a 30° inclinedplane and areattached to the postwhich is held

perpendicular to theplane by force P,parallel to the plane, as shown in fig. Assume that all surfaces are smooth andthat the cords are parallel to the plane. Determine the value of P. Also find theNormal reaction of Blocks A and B.

0.25 m

0.25 m

0.5 m

A

B

P

30°

O

600 mm

3000 N

A

O B

60°

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4 KN 6 KN

16 KN

R 1

R 2

.A B

C D

R 3

1 m 4 m 1 m

3 m

3 m

4 m

3. Calculate the reactions R1, R2, and R3 for the two beams AB and CDsupported as shown in fig. There being a Hinge connecting B and C.

ASSIGNMENT – IV

PART-A

1. Define curvilinear motion2. State D’Alembert’s principle.3. State the law of conservation of momentum.4. Define impact.5. Write the equations of motion.

PART-B

1. A 100 kg mass is lifted by a rope, rolling on a cylinder of 150 mm dia asshown figure. Determine the force required on the other side if thecoefficient of friction is 0.20. Also calculate the torque and powertransmitted, if the velocity is 30 m/s.

2. For the below belt drive problem calculatei. the necessary force

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ii. torque at the cylinder surfaceiii. Power transmitted.

Consider the force applied T1 is in horizontal direction. Take coefficient of friction 0.20 and velocity 30 m/s.

3. A wheel of weight 1000 N and diameter 600 mm is required to move on ahorizontal surface. If the coefficient of rolling resistance is 15 mm. Calculatethe force required to roll the wheel without slipping.

ASSIGNMENT – V

PART-A

1. Give the Impulse-Momentum equation?2. What is meant by line of impact?3. What are the types of impact?4. Define co-efficient of restitution.5. Give the expression for ‘e’ in impact.

PART-B

1. A 500 N block is in contact with a level plane, the co-efficient of frictionbetween two contact surfaces being 0.25. If the block is acted upon by a

horizontal force of 1300 N, what time it will elapse before the block reaches avelocity of 24 m/s. Apply impulse-momentum equation.

2.Two bodies one of mass 30 kg, moves with a velocity of 9 m/s strikes on ananother body of mass 15 kg, moving in the opposite direction with the velocityof 9 m/s centrally. Find the velocity of each body after impact, if the coefficientof restitution is 0.8.

3. Two bodies one of which is 200 N with a velocity of 10 m/s and the other of 100 N with a velocity of 10 m/s move towards each other and impingecentrally. Find the velocity of each body after impact if the co-efficient of 

restitution is 0.6. Find also the loss in kinetic energy due to impact.

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