(Set 1) Centre of Mass and Rotational Motion

Q1. 
For which one of the following does the centre of mass lie outside the body?
  1. A fountain pen
  2. A cricket ball
  3. A ring
  4. A book

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Correct Answer : C

Q2. 
An object is in static equilibrium when it is ------- .
  1. at rest
  2. moving in circular path
  3. moving with uniform velocity
  4. accelerating at high speed

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Correct Answer : A

Q3. 
A ball balanced on a vertical rod is an example of
  1. stable equilibrium
  2. unstable equilibrium
  3. neutral equilibrium
  4. perfect equlibrium

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Correct Answer : B

Q4. 
Consider the following statements. 1. There is no net moment on a body which is in equilibrium. 2. The momentum of a body is always conserved. 3. The kinetic energy of an object is always conserved. Which of the statement(s) given above is/are correct?
  1. Only 1
  2. 2 and 3
  3. 1 and 2
  4. All of these

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Correct Answer : C

Q5. 
The point where total mass of a body is supposed to be concentrated is know as
  1. dead centre
  2. centre of mass
  3. center of gravity
  4. centre of motion

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Correct Answer : B

Q6. 
A solid disc and a solid sphere have the same mass and same radius. Which one has the higher moment of inertia about its centre of mass?
  1. The disc
  2. The sphere
  3. Both have the same moment of inertia
  4. The information provided is not sufficient to answer the question

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Correct Answer : A

Q7. 
Assertion (A) A small force can affect on same as large force. Reason (R) The momentum of a force is the product of force and its perpendicular distance from the axis of rotation.
  1. If both A and R are true and R is the correct explanation of A.
  2. Both A and R are true but R is not the correct explanation of A.
  3. If A is true but R is false.
  4. Both A and R are false.

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Correct Answer : B

Q8. 
Consider the following statements. 1. A body having constant linear velocity may have some angular speed with respect to a point. 2. A force passing through the centre of rotation can produce moment to a body. 3. Torque has the SI unit N-m. 4. centre of gravity is point where entire mass of the body is assumed to be concentrated. Which one of the following options are correct?
  1. 1,2 and 4
  2. 2 and 4
  3. 1 and 4
  4. 1, 3 and 4

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Correct Answer : D

Q9. 
When net torque is zero ------- will be constant.
  1. force
  2. angular momentum
  3. Linear momentum
  4. acceleration

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Correct Answer : B

Q10. 
An athlete diving off high springboard can perform a variety of exercise in the air before entering the waterbody. Which one of the following parameters will remain constant during the fall?
  1. The athlete's linear momentum
  2. The athlete's angular momentum
  3. The athlete's kinetic energy
  4. The athlete's moment of inertia

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Correct Answer : B

Q11. 
Which of the following statements are correct when a gymnast sitting on a rotating stool with his arms outstretched, suddenly lowers his hands?
  1. The angular velocity decreases
  2. The angular velocity remain same
  3. The moment of inertia decreases
  4. The moment of inertia increases

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Correct Answer : C

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