A rigid body rotates about a fixed axis with a constant angular acceleration. Which one of the following statements is true concerning the tangential acceleration of any point on the body? A) The tangential acceleration is zero m/s². B) The tangential acceleration depends on the angular velocity. C) The tangential acceleration is equal to the centripetal acceleration. D) The tangential acceleration is constant in both magnitude and direction. E) The tangential acceleration depends on the change in the angular velocity.

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### Rotational Motion and Torque

#### 1. Tangential Acceleration of a Rigid Body
A rigid body rotates about a fixed axis with a constant angular acceleration. Identify the true statement concerning the tangential acceleration of any point on the body:
- A) The tangential acceleration is zero m/s².
- B) The tangential acceleration depends on the angular velocity.
- C) The tangential acceleration is equal to the centripetal acceleration.
- D) The tangential acceleration is constant in both magnitude and direction.
- E) The tangential acceleration depends on the change in the angular velocity.

#### 2. Points on a Rigid Wheel with Decreasing Angular Velocity
Two points are on a rigid wheel rotating with decreasing angular velocity about a fixed axis. Point A is on the rim, and Point B is halfway between the rim and axis. Identify the true statement:
- A) Both points have the same centripetal acceleration.
- B) Both points have the same tangential acceleration.
- C) The angular velocity at Point A is greater than that of Point B.
- D) Both points have the same instantaneous angular velocity.
- E) Each second, Point A turns through a greater angle than Point B.

#### 3. Characteristics of a Rigid Body Rotating About a Fixed Axis
When a rigid body rotates about a fixed axis, all points in the body have the same:
- A) Tangential speed.
- B) Angular acceleration.
- C) Tangential acceleration.
- D) Linear displacement.
- E) Centripetal acceleration.

#### 4. Center of Mass and Symmetry
There must be equal amounts of mass on both sides of the center of mass (or gravity) of a system.
- A) True
- B) False

#### 5. Torques on a Door
Two forces produce equal torques on a door. One force is applied at the midpoint, and the other at the doorknob. Both forces are perpendicular. Determine the force with greater magnitude:
- A) The first force (at the midpoint)
- B) The second force (at the doorknob)
- C) The two forces are equal.

#### 6. Forces and Torques Relationship
- **External Forces to External Torques**: If the sum of external forces is zero, is the sum of external torques also zero?
  - A) True
  - B) False
Transcribed Image Text:### Rotational Motion and Torque #### 1. Tangential Acceleration of a Rigid Body A rigid body rotates about a fixed axis with a constant angular acceleration. Identify the true statement concerning the tangential acceleration of any point on the body: - A) The tangential acceleration is zero m/s². - B) The tangential acceleration depends on the angular velocity. - C) The tangential acceleration is equal to the centripetal acceleration. - D) The tangential acceleration is constant in both magnitude and direction. - E) The tangential acceleration depends on the change in the angular velocity. #### 2. Points on a Rigid Wheel with Decreasing Angular Velocity Two points are on a rigid wheel rotating with decreasing angular velocity about a fixed axis. Point A is on the rim, and Point B is halfway between the rim and axis. Identify the true statement: - A) Both points have the same centripetal acceleration. - B) Both points have the same tangential acceleration. - C) The angular velocity at Point A is greater than that of Point B. - D) Both points have the same instantaneous angular velocity. - E) Each second, Point A turns through a greater angle than Point B. #### 3. Characteristics of a Rigid Body Rotating About a Fixed Axis When a rigid body rotates about a fixed axis, all points in the body have the same: - A) Tangential speed. - B) Angular acceleration. - C) Tangential acceleration. - D) Linear displacement. - E) Centripetal acceleration. #### 4. Center of Mass and Symmetry There must be equal amounts of mass on both sides of the center of mass (or gravity) of a system. - A) True - B) False #### 5. Torques on a Door Two forces produce equal torques on a door. One force is applied at the midpoint, and the other at the doorknob. Both forces are perpendicular. Determine the force with greater magnitude: - A) The first force (at the midpoint) - B) The second force (at the doorknob) - C) The two forces are equal. #### 6. Forces and Torques Relationship - **External Forces to External Torques**: If the sum of external forces is zero, is the sum of external torques also zero? - A) True - B) False
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