The meaning of a rigid body in equilibrium .

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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 9, Problem 1FC

To determine

The meaning of a rigid body in equilibrium .

Expert Solution & Answer

Answer to Problem 1FC

The correct option is, “(d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero”.

Explanation of Solution

A rigid body is said to be in equilibrium, if its translational acceleration and angular rotational acceleration are zero. When a body is moving with a uniform velocity its translational acceleration is zero but its translational motion is not zero. When a body is moving with a uniform angular velocity, its angular acceleration is zero but its angular motion is not zero.

Therefore, a rigid body is said to be in equilibrium, if the body can have the translational and rotational motions, as long as its translational acceleration and angular acceleration are zero.

Conclusion:

Hence, the correct option is, “(d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero”.

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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 9, Problem 1FC

To determine

The meaning of a rigid body in equilibrium .

Expert Solution & Answer

Answer to Problem 1FC

The correct option is, “(d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero”.

Explanation of Solution

A rigid body is said to be in equilibrium, if its translational acceleration and angular rotational acceleration are zero. When a body is moving with a uniform velocity its translational acceleration is zero but its translational motion is not zero. When a body is moving with a uniform angular velocity, its angular acceleration is zero but its angular motion is not zero.

Therefore, a rigid body is said to be in equilibrium, if the body can have the translational and rotational motions, as long as its translational acceleration and angular acceleration are zero.

Conclusion:

Hence, the correct option is, “(d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero”.

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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 9, Problem 1FC

To determine

The meaning of a rigid body in equilibrium .

Expert Solution & Answer

Answer to Problem 1FC

The correct option is, “(d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero”.

Explanation of Solution

A rigid body is said to be in equilibrium, if its translational acceleration and angular rotational acceleration are zero. When a body is moving with a uniform velocity its translational acceleration is zero but its translational motion is not zero. When a body is moving with a uniform angular velocity, its angular acceleration is zero but its angular motion is not zero.

Therefore, a rigid body is said to be in equilibrium, if the body can have the translational and rotational motions, as long as its translational acceleration and angular acceleration are zero.

Conclusion:

Hence, the correct option is, “(d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero”.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

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 9, Problem 1FC

To determine

The meaning of a rigid body in equilibrium .

Expert Solution & Answer

Answer to Problem 1FC

The correct option is, “(d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero”.

Explanation of Solution

A rigid body is said to be in equilibrium, if its translational acceleration and angular rotational acceleration are zero. When a body is moving with a uniform velocity its translational acceleration is zero but its translational motion is not zero. When a body is moving with a uniform angular velocity, its angular acceleration is zero but its angular motion is not zero.

Therefore, a rigid body is said to be in equilibrium, if the body can have the translational and rotational motions, as long as its translational acceleration and angular acceleration are zero.

Conclusion:

Hence, the correct option is, “(d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero”.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 9, Problem 1FC

To determine

The meaning of a rigid body in equilibrium .

Expert Solution & Answer

Answer to Problem 1FC

The correct option is, “(d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero”.

Explanation of Solution

A rigid body is said to be in equilibrium, if its translational acceleration and angular rotational acceleration are zero. When a body is moving with a uniform velocity its translational acceleration is zero but its translational motion is not zero. When a body is moving with a uniform angular velocity, its angular acceleration is zero but its angular motion is not zero.

Therefore, a rigid body is said to be in equilibrium, if the body can have the translational and rotational motions, as long as its translational acceleration and angular acceleration are zero.

Conclusion:

Hence, the correct option is, “(d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero”.

Answer 6

Chapter 9, Problem 1FC

To determine

The meaning of a rigid body in equilibrium .

Expert Solution & Answer

Answer to Problem 1FC

The correct option is, “(d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero”.

Explanation of Solution

A rigid body is said to be in equilibrium, if its translational acceleration and angular rotational acceleration are zero. When a body is moving with a uniform velocity its translational acceleration is zero but its translational motion is not zero. When a body is moving with a uniform angular velocity, its angular acceleration is zero but its angular motion is not zero.

Therefore, a rigid body is said to be in equilibrium, if the body can have the translational and rotational motions, as long as its translational acceleration and angular acceleration are zero.

Conclusion:

Hence, the correct option is, “(d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero”.

Answer 7

Chapter 9, Problem 1FC

To determine

The meaning of a rigid body in equilibrium .

Answer 8

Expert Solution & Answer

Answer to Problem 1FC

The correct option is, “(d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero”.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

A rigid body is said to be in equilibrium, if its translational acceleration and angular rotational acceleration are zero. When a body is moving with a uniform velocity its translational acceleration is zero but its translational motion is not zero. When a body is moving with a uniform angular velocity, its angular acceleration is zero but its angular motion is not zero.

Therefore, a rigid body is said to be in equilibrium, if the body can have the translational and rotational motions, as long as its translational acceleration and angular acceleration are zero.

Conclusion:

Hence, the correct option is, “(d) The body can have translational and rotational motions, as long as its translational acceleration and angular acceleration are zero”.

Answer 12

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The meaning of a rigid body in equilibrium .

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The meaning of a rigid body in equilibrium .

Answer to Problem 1FC

Explanation of Solution

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