In the pure rotational motion of a rigid body

Question

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Answer 1

Question

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

Chapter 8, Problem 1MCQ

To determine

In the pure rotational motion of a rigid body

Expert Solution & Answer

Answer to Problem 1MCQ

Option (a)

Explanation of Solution

In a rigid body all the particle of the body are fixed. They move in circular paths about the rotational axis. The angular velocity and the angular acceleration of all the particles in the rigid body are same.

Conclusion:

All the particles of the rigid body have the same angular velocity. Thus, option (a) is correct.

Tangential velocity of the particle of the rigid body varies with respect to their position. Thus, option (b) is incorrect.

Acceleration need not to be zero always. Thus, option (c) is incorrect.

Need not be two simultaneous axes of rotation always. Thus, option (d) is incorrect.

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Answer 2

Question

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

Chapter 8, Problem 1MCQ

To determine

In the pure rotational motion of a rigid body

Expert Solution & Answer

Answer to Problem 1MCQ

Option (a)

Explanation of Solution

In a rigid body all the particle of the body are fixed. They move in circular paths about the rotational axis. The angular velocity and the angular acceleration of all the particles in the rigid body are same.

Conclusion:

All the particles of the rigid body have the same angular velocity. Thus, option (a) is correct.

Tangential velocity of the particle of the rigid body varies with respect to their position. Thus, option (b) is incorrect.

Acceleration need not to be zero always. Thus, option (c) is incorrect.

Need not be two simultaneous axes of rotation always. Thus, option (d) is incorrect.

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Answer 3

Question

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

Chapter 8, Problem 1MCQ

To determine

In the pure rotational motion of a rigid body

Expert Solution & Answer

Answer to Problem 1MCQ

Option (a)

Explanation of Solution

In a rigid body all the particle of the body are fixed. They move in circular paths about the rotational axis. The angular velocity and the angular acceleration of all the particles in the rigid body are same.

Conclusion:

All the particles of the rigid body have the same angular velocity. Thus, option (a) is correct.

Tangential velocity of the particle of the rigid body varies with respect to their position. Thus, option (b) is incorrect.

Acceleration need not to be zero always. Thus, option (c) is incorrect.

Need not be two simultaneous axes of rotation always. Thus, option (d) is incorrect.

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Answer 4

Question

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

Chapter 8, Problem 1MCQ

To determine

In the pure rotational motion of a rigid body

Expert Solution & Answer

Answer to Problem 1MCQ

Option (a)

Explanation of Solution

In a rigid body all the particle of the body are fixed. They move in circular paths about the rotational axis. The angular velocity and the angular acceleration of all the particles in the rigid body are same.

Conclusion:

All the particles of the rigid body have the same angular velocity. Thus, option (a) is correct.

Tangential velocity of the particle of the rigid body varies with respect to their position. Thus, option (b) is incorrect.

Acceleration need not to be zero always. Thus, option (c) is incorrect.

Need not be two simultaneous axes of rotation always. Thus, option (d) is incorrect.

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Answer 5

Chapter 8, Problem 1MCQ

To determine

In the pure rotational motion of a rigid body

Expert Solution & Answer

Answer to Problem 1MCQ

Option (a)

Explanation of Solution

In a rigid body all the particle of the body are fixed. They move in circular paths about the rotational axis. The angular velocity and the angular acceleration of all the particles in the rigid body are same.

Conclusion:

All the particles of the rigid body have the same angular velocity. Thus, option (a) is correct.

Tangential velocity of the particle of the rigid body varies with respect to their position. Thus, option (b) is incorrect.

Acceleration need not to be zero always. Thus, option (c) is incorrect.

Need not be two simultaneous axes of rotation always. Thus, option (d) is incorrect.

Answer 6

Chapter 8, Problem 1MCQ

To determine

In the pure rotational motion of a rigid body

Expert Solution & Answer

Answer to Problem 1MCQ

Option (a)

Explanation of Solution

In a rigid body all the particle of the body are fixed. They move in circular paths about the rotational axis. The angular velocity and the angular acceleration of all the particles in the rigid body are same.

Conclusion:

All the particles of the rigid body have the same angular velocity. Thus, option (a) is correct.

Tangential velocity of the particle of the rigid body varies with respect to their position. Thus, option (b) is incorrect.

Acceleration need not to be zero always. Thus, option (c) is incorrect.

Need not be two simultaneous axes of rotation always. Thus, option (d) is incorrect.

Answer 7

Chapter 8, Problem 1MCQ

To determine

In the pure rotational motion of a rigid body

Answer 8

Expert Solution & Answer

Answer to Problem 1MCQ

Option (a)

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

In a rigid body all the particle of the body are fixed. They move in circular paths about the rotational axis. The angular velocity and the angular acceleration of all the particles in the rigid body are same.

Conclusion:

All the particles of the rigid body have the same angular velocity. Thus, option (a) is correct.

Tangential velocity of the particle of the rigid body varies with respect to their position. Thus, option (b) is incorrect.

Acceleration need not to be zero always. Thus, option (c) is incorrect.

Need not be two simultaneous axes of rotation always. Thus, option (d) is incorrect.