Whether a rigid object in uniform rotation satisfies the first and second condition of equilibrium and it means that all the particles are in equilibrium state.

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Answer 1

Question

Definition Video Definition A state wherein a body is not experiencing any resultant angular acceleration. If the net torque acting on the body is zero, then the body is said to be in rotational equilibrium. If the body is stationary and net torque is zero, then the body is in static rotational equilibrium. If the body is moving with constant velocity and net torque is zero, then, the body is said to be in dynamic rotational equilibrium. Video

Chapter 11, Problem 1DQ

To determine

Whether a rigid object in uniform rotation satisfies the first and second condition of equilibrium and it means that all the particles are in equilibrium state.

Expert Solution & Answer

Answer to Problem 1DQ

Thus, a uniform rotating rigid body obeys second condition of equilibrium, but not the first condition. Equilibrium state of a rigid body does not guarantee the equilibrium state of each and every particle of rigid body.

Explanation of Solution

Consider the rigid body in uniform rotation. Uniform rotation means that the object moves with constant angular velocity. So the angular acceleration of body remains zero. Torque is determined by the mass and angular acceleration of the body. This means that the net torque acting on the body is zero. So the system satisfies the second condition of equilibrium.

An object moves with constant angular velocity cannot have a constant value of linear velocity. This is because, even its magnitude is same, continues change in direction will produce acceleration. Accelerating body must have a non-zero value of force. This means that object will not satisfy the first condition.

A rigid body with zero value of net torque does not mean that each and every particle is in rotational equilibrium. Torque is a vector quantity. The only condition for zero net torque is that the vector sum of all clockwise torques should be cancelled by the vector sum of all counterclockwise torques.

Conclusion: Thus, a uniform rotating rigid body obeys second condition of equilibrium, but not the first condition. Equilibrium state of a rigid body does not guarantee the equilibrium state of each and every particle of rigid body.

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Answer 2

Question

Definition Video Definition A state wherein a body is not experiencing any resultant angular acceleration. If the net torque acting on the body is zero, then the body is said to be in rotational equilibrium. If the body is stationary and net torque is zero, then the body is in static rotational equilibrium. If the body is moving with constant velocity and net torque is zero, then, the body is said to be in dynamic rotational equilibrium. Video

Chapter 11, Problem 1DQ

To determine

Whether a rigid object in uniform rotation satisfies the first and second condition of equilibrium and it means that all the particles are in equilibrium state.

Expert Solution & Answer

Answer to Problem 1DQ

Thus, a uniform rotating rigid body obeys second condition of equilibrium, but not the first condition. Equilibrium state of a rigid body does not guarantee the equilibrium state of each and every particle of rigid body.

Explanation of Solution

Consider the rigid body in uniform rotation. Uniform rotation means that the object moves with constant angular velocity. So the angular acceleration of body remains zero. Torque is determined by the mass and angular acceleration of the body. This means that the net torque acting on the body is zero. So the system satisfies the second condition of equilibrium.

An object moves with constant angular velocity cannot have a constant value of linear velocity. This is because, even its magnitude is same, continues change in direction will produce acceleration. Accelerating body must have a non-zero value of force. This means that object will not satisfy the first condition.

A rigid body with zero value of net torque does not mean that each and every particle is in rotational equilibrium. Torque is a vector quantity. The only condition for zero net torque is that the vector sum of all clockwise torques should be cancelled by the vector sum of all counterclockwise torques.

Conclusion: Thus, a uniform rotating rigid body obeys second condition of equilibrium, but not the first condition. Equilibrium state of a rigid body does not guarantee the equilibrium state of each and every particle of rigid body.

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Answer 3

Question

Definition Video Definition A state wherein a body is not experiencing any resultant angular acceleration. If the net torque acting on the body is zero, then the body is said to be in rotational equilibrium. If the body is stationary and net torque is zero, then the body is in static rotational equilibrium. If the body is moving with constant velocity and net torque is zero, then, the body is said to be in dynamic rotational equilibrium. Video

Chapter 11, Problem 1DQ

To determine

Whether a rigid object in uniform rotation satisfies the first and second condition of equilibrium and it means that all the particles are in equilibrium state.

Expert Solution & Answer

Answer to Problem 1DQ

Thus, a uniform rotating rigid body obeys second condition of equilibrium, but not the first condition. Equilibrium state of a rigid body does not guarantee the equilibrium state of each and every particle of rigid body.

Explanation of Solution

Consider the rigid body in uniform rotation. Uniform rotation means that the object moves with constant angular velocity. So the angular acceleration of body remains zero. Torque is determined by the mass and angular acceleration of the body. This means that the net torque acting on the body is zero. So the system satisfies the second condition of equilibrium.

An object moves with constant angular velocity cannot have a constant value of linear velocity. This is because, even its magnitude is same, continues change in direction will produce acceleration. Accelerating body must have a non-zero value of force. This means that object will not satisfy the first condition.

A rigid body with zero value of net torque does not mean that each and every particle is in rotational equilibrium. Torque is a vector quantity. The only condition for zero net torque is that the vector sum of all clockwise torques should be cancelled by the vector sum of all counterclockwise torques.

Conclusion: Thus, a uniform rotating rigid body obeys second condition of equilibrium, but not the first condition. Equilibrium state of a rigid body does not guarantee the equilibrium state of each and every particle of rigid body.

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Answer 4

Question

Definition Video Definition A state wherein a body is not experiencing any resultant angular acceleration. If the net torque acting on the body is zero, then the body is said to be in rotational equilibrium. If the body is stationary and net torque is zero, then the body is in static rotational equilibrium. If the body is moving with constant velocity and net torque is zero, then, the body is said to be in dynamic rotational equilibrium. Video

Chapter 11, Problem 1DQ

To determine

Whether a rigid object in uniform rotation satisfies the first and second condition of equilibrium and it means that all the particles are in equilibrium state.

Expert Solution & Answer

Answer to Problem 1DQ

Thus, a uniform rotating rigid body obeys second condition of equilibrium, but not the first condition. Equilibrium state of a rigid body does not guarantee the equilibrium state of each and every particle of rigid body.

Explanation of Solution

Consider the rigid body in uniform rotation. Uniform rotation means that the object moves with constant angular velocity. So the angular acceleration of body remains zero. Torque is determined by the mass and angular acceleration of the body. This means that the net torque acting on the body is zero. So the system satisfies the second condition of equilibrium.

An object moves with constant angular velocity cannot have a constant value of linear velocity. This is because, even its magnitude is same, continues change in direction will produce acceleration. Accelerating body must have a non-zero value of force. This means that object will not satisfy the first condition.

A rigid body with zero value of net torque does not mean that each and every particle is in rotational equilibrium. Torque is a vector quantity. The only condition for zero net torque is that the vector sum of all clockwise torques should be cancelled by the vector sum of all counterclockwise torques.

Conclusion: Thus, a uniform rotating rigid body obeys second condition of equilibrium, but not the first condition. Equilibrium state of a rigid body does not guarantee the equilibrium state of each and every particle of rigid body.

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Answer 5

Chapter 11, Problem 1DQ

To determine

Whether a rigid object in uniform rotation satisfies the first and second condition of equilibrium and it means that all the particles are in equilibrium state.

Expert Solution & Answer

Answer to Problem 1DQ

Thus, a uniform rotating rigid body obeys second condition of equilibrium, but not the first condition. Equilibrium state of a rigid body does not guarantee the equilibrium state of each and every particle of rigid body.

Explanation of Solution

Consider the rigid body in uniform rotation. Uniform rotation means that the object moves with constant angular velocity. So the angular acceleration of body remains zero. Torque is determined by the mass and angular acceleration of the body. This means that the net torque acting on the body is zero. So the system satisfies the second condition of equilibrium.

An object moves with constant angular velocity cannot have a constant value of linear velocity. This is because, even its magnitude is same, continues change in direction will produce acceleration. Accelerating body must have a non-zero value of force. This means that object will not satisfy the first condition.

A rigid body with zero value of net torque does not mean that each and every particle is in rotational equilibrium. Torque is a vector quantity. The only condition for zero net torque is that the vector sum of all clockwise torques should be cancelled by the vector sum of all counterclockwise torques.

Conclusion: Thus, a uniform rotating rigid body obeys second condition of equilibrium, but not the first condition. Equilibrium state of a rigid body does not guarantee the equilibrium state of each and every particle of rigid body.

Answer 6

Chapter 11, Problem 1DQ

To determine

Whether a rigid object in uniform rotation satisfies the first and second condition of equilibrium and it means that all the particles are in equilibrium state.

Expert Solution & Answer

Answer to Problem 1DQ

Thus, a uniform rotating rigid body obeys second condition of equilibrium, but not the first condition. Equilibrium state of a rigid body does not guarantee the equilibrium state of each and every particle of rigid body.

Explanation of Solution

Consider the rigid body in uniform rotation. Uniform rotation means that the object moves with constant angular velocity. So the angular acceleration of body remains zero. Torque is determined by the mass and angular acceleration of the body. This means that the net torque acting on the body is zero. So the system satisfies the second condition of equilibrium.

An object moves with constant angular velocity cannot have a constant value of linear velocity. This is because, even its magnitude is same, continues change in direction will produce acceleration. Accelerating body must have a non-zero value of force. This means that object will not satisfy the first condition.

A rigid body with zero value of net torque does not mean that each and every particle is in rotational equilibrium. Torque is a vector quantity. The only condition for zero net torque is that the vector sum of all clockwise torques should be cancelled by the vector sum of all counterclockwise torques.

Conclusion: Thus, a uniform rotating rigid body obeys second condition of equilibrium, but not the first condition. Equilibrium state of a rigid body does not guarantee the equilibrium state of each and every particle of rigid body.

Answer 7

Chapter 11, Problem 1DQ

To determine

Whether a rigid object in uniform rotation satisfies the first and second condition of equilibrium and it means that all the particles are in equilibrium state.

Answer 8

Expert Solution & Answer

Answer to Problem 1DQ

Thus, a uniform rotating rigid body obeys second condition of equilibrium, but not the first condition. Equilibrium state of a rigid body does not guarantee the equilibrium state of each and every particle of rigid body.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Explanation of Solution

Consider the rigid body in uniform rotation. Uniform rotation means that the object moves with constant angular velocity. So the angular acceleration of body remains zero. Torque is determined by the mass and angular acceleration of the body. This means that the net torque acting on the body is zero. So the system satisfies the second condition of equilibrium.

An object moves with constant angular velocity cannot have a constant value of linear velocity. This is because, even its magnitude is same, continues change in direction will produce acceleration. Accelerating body must have a non-zero value of force. This means that object will not satisfy the first condition.

A rigid body with zero value of net torque does not mean that each and every particle is in rotational equilibrium. Torque is a vector quantity. The only condition for zero net torque is that the vector sum of all clockwise torques should be cancelled by the vector sum of all counterclockwise torques.

Conclusion: Thus, a uniform rotating rigid body obeys second condition of equilibrium, but not the first condition. Equilibrium state of a rigid body does not guarantee the equilibrium state of each and every particle of rigid body.

Answer 12

Ch. 11 - Prob. 1DQ Ch. 11 - Prob. 2DQ Ch. 11 - Prob. 3DQ Ch. 11 - Prob. 4DQ Ch. 11 - Prob. 5DQ Ch. 11 - Prob. 6DQ Ch. 11 - Prob. 7DQ Ch. 11 - Prob. 8DQ Ch. 11 - Prob. 9DQ Ch. 11 - Prob. 10DQ

Whether a rigid object in uniform rotation satisfies the first and second condition of equilibrium and it means that all the particles are in equilibrium state.

Whether a rigid object in uniform rotation satisfies the first and second condition of equilibrium and it means that all the particles are in equilibrium state.

Answer to Problem 1DQ

Explanation of Solution

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