Does a rigid object in uniform rotation about a fixed axis satisfy the first and second conditions for equilibrium? Why? Does it then follow that every particle in this object is in equilibrium? Explain.

Question

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Answer 1

Textbook Question

Chapter 11, Problem 11.1DQ

Does a rigid object in uniform rotation about a fixed axis satisfy the first and second conditions for equilibrium? Why? Does it then follow that every particle in this object is in equilibrium? Explain.

Expert Solution & Answer

To determine

Whether a rigid object which is uniformly rotated about a fixed axis will satisfy the first and second conditions for equilibrium or not and whether every particle in this object is in equilibrium or not.

Explanation of Solution

Equilibrium defines the state in which all the opposing actions are balanced.

The equilibrium conditions are- first condition is that the vector sum of forces must be zero and the second condition is the sum of torques about any point must be zero.

When a rigid body is uniformly rotated about a fixed axis, then the object does not possess linear motion or translational motion. Thus, it satisfies the first condition of equilibrium.

Since rotational motion is uniform then no torque acts on it. Thus, it satisfies the second condition for equilibrium. Every particle in the rigid object also is in equilibrium because the particles position remains constant and does not get affected by the rotational motion.

Conclusion:

The rigid object is in equilibrium as it satisfies both the condition and every particle of an object satisfies the equilibrium conditions.

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Answer 2

Textbook Question

Chapter 11, Problem 11.1DQ

Does a rigid object in uniform rotation about a fixed axis satisfy the first and second conditions for equilibrium? Why? Does it then follow that every particle in this object is in equilibrium? Explain.

Expert Solution & Answer

To determine

Whether a rigid object which is uniformly rotated about a fixed axis will satisfy the first and second conditions for equilibrium or not and whether every particle in this object is in equilibrium or not.

Explanation of Solution

Equilibrium defines the state in which all the opposing actions are balanced.

The equilibrium conditions are- first condition is that the vector sum of forces must be zero and the second condition is the sum of torques about any point must be zero.

When a rigid body is uniformly rotated about a fixed axis, then the object does not possess linear motion or translational motion. Thus, it satisfies the first condition of equilibrium.

Since rotational motion is uniform then no torque acts on it. Thus, it satisfies the second condition for equilibrium. Every particle in the rigid object also is in equilibrium because the particles position remains constant and does not get affected by the rotational motion.

Conclusion:

The rigid object is in equilibrium as it satisfies both the condition and every particle of an object satisfies the equilibrium conditions.

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03:05

Answer 3

Textbook Question

Chapter 11, Problem 11.1DQ

Does a rigid object in uniform rotation about a fixed axis satisfy the first and second conditions for equilibrium? Why? Does it then follow that every particle in this object is in equilibrium? Explain.

Expert Solution & Answer

To determine

Whether a rigid object which is uniformly rotated about a fixed axis will satisfy the first and second conditions for equilibrium or not and whether every particle in this object is in equilibrium or not.

Explanation of Solution

Equilibrium defines the state in which all the opposing actions are balanced.

The equilibrium conditions are- first condition is that the vector sum of forces must be zero and the second condition is the sum of torques about any point must be zero.

When a rigid body is uniformly rotated about a fixed axis, then the object does not possess linear motion or translational motion. Thus, it satisfies the first condition of equilibrium.

Since rotational motion is uniform then no torque acts on it. Thus, it satisfies the second condition for equilibrium. Every particle in the rigid object also is in equilibrium because the particles position remains constant and does not get affected by the rotational motion.

Conclusion:

The rigid object is in equilibrium as it satisfies both the condition and every particle of an object satisfies the equilibrium conditions.

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03:05

Answer 4

Textbook Question

Chapter 11, Problem 11.1DQ

Does a rigid object in uniform rotation about a fixed axis satisfy the first and second conditions for equilibrium? Why? Does it then follow that every particle in this object is in equilibrium? Explain.

Expert Solution & Answer

To determine

Whether a rigid object which is uniformly rotated about a fixed axis will satisfy the first and second conditions for equilibrium or not and whether every particle in this object is in equilibrium or not.

Explanation of Solution

Equilibrium defines the state in which all the opposing actions are balanced.

The equilibrium conditions are- first condition is that the vector sum of forces must be zero and the second condition is the sum of torques about any point must be zero.

When a rigid body is uniformly rotated about a fixed axis, then the object does not possess linear motion or translational motion. Thus, it satisfies the first condition of equilibrium.

Since rotational motion is uniform then no torque acts on it. Thus, it satisfies the second condition for equilibrium. Every particle in the rigid object also is in equilibrium because the particles position remains constant and does not get affected by the rotational motion.

Conclusion:

The rigid object is in equilibrium as it satisfies both the condition and every particle of an object satisfies the equilibrium conditions.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

To determine

Whether a rigid object which is uniformly rotated about a fixed axis will satisfy the first and second conditions for equilibrium or not and whether every particle in this object is in equilibrium or not.

Explanation of Solution

Equilibrium defines the state in which all the opposing actions are balanced.

The equilibrium conditions are- first condition is that the vector sum of forces must be zero and the second condition is the sum of torques about any point must be zero.

When a rigid body is uniformly rotated about a fixed axis, then the object does not possess linear motion or translational motion. Thus, it satisfies the first condition of equilibrium.

Since rotational motion is uniform then no torque acts on it. Thus, it satisfies the second condition for equilibrium. Every particle in the rigid object also is in equilibrium because the particles position remains constant and does not get affected by the rotational motion.

Conclusion:

The rigid object is in equilibrium as it satisfies both the condition and every particle of an object satisfies the equilibrium conditions.

Answer 8

Expert Solution & Answer

To determine

Whether a rigid object which is uniformly rotated about a fixed axis will satisfy the first and second conditions for equilibrium or not and whether every particle in this object is in equilibrium or not.

Explanation of Solution

Equilibrium defines the state in which all the opposing actions are balanced.

The equilibrium conditions are- first condition is that the vector sum of forces must be zero and the second condition is the sum of torques about any point must be zero.

When a rigid body is uniformly rotated about a fixed axis, then the object does not possess linear motion or translational motion. Thus, it satisfies the first condition of equilibrium.

Since rotational motion is uniform then no torque acts on it. Thus, it satisfies the second condition for equilibrium. Every particle in the rigid object also is in equilibrium because the particles position remains constant and does not get affected by the rotational motion.

Conclusion:

The rigid object is in equilibrium as it satisfies both the condition and every particle of an object satisfies the equilibrium conditions.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

To determine

Whether a rigid object which is uniformly rotated about a fixed axis will satisfy the first and second conditions for equilibrium or not and whether every particle in this object is in equilibrium or not.

Answer 12

Explanation of Solution

Equilibrium defines the state in which all the opposing actions are balanced.

The equilibrium conditions are- first condition is that the vector sum of forces must be zero and the second condition is the sum of torques about any point must be zero.

When a rigid body is uniformly rotated about a fixed axis, then the object does not possess linear motion or translational motion. Thus, it satisfies the first condition of equilibrium.

Since rotational motion is uniform then no torque acts on it. Thus, it satisfies the second condition for equilibrium. Every particle in the rigid object also is in equilibrium because the particles position remains constant and does not get affected by the rotational motion.

Conclusion:

The rigid object is in equilibrium as it satisfies both the condition and every particle of an object satisfies the equilibrium conditions.