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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Chapter10: Rotation Of A Rigid Object About A Fixed Axis
Section: Chapter Questions
Problem 10.2OQ: Consider an object on a rotating disk a distance r from its center, held in place on the disk by...
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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.
Two points are located on a rigid wheel that is rotating with decreasing angular velocity about a fixed axis.
Point A is located on the rim of the wheel and point B is halfway between the rim and the axis. Which one of
the following statements concerning this situation is true?
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.
When a rigid body rotates about a fixed axis, all the points in the body have the same
A) tangential speed.
B) angular acceleration.
C) tangential acceleration.
D) linear displacement.
E) centripetal acceleration.
There must be equal amounts of mass on both sides of the center of mass (or center of gravity) of a system.
A) True
B) False
Two forces produce equal torques on a door about the door hinge. The first force is applied at the midpoint of
the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which
force has a greater magnitude?
A) the first force (at the midpoint)
B) the second force (at the doorknob)
C) The two forces are equal.
If the sum of the external forces on an object is zero, then the sum of the external torques on it must also be
zero.
A) True
B) False
If the sum of the external torques on an object is zero, then the sum of the external forces on it must also be
zero.
A) True
B) False
Transcribed Image Text: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. Two points are located on a rigid wheel that is rotating with decreasing angular velocity about a fixed axis. Point A is located on the rim of the wheel and point B is halfway between the rim and the axis. Which one of the following statements concerning this situation is true? 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. When a rigid body rotates about a fixed axis, all the points in the body have the same A) tangential speed. B) angular acceleration. C) tangential acceleration. D) linear displacement. E) centripetal acceleration. There must be equal amounts of mass on both sides of the center of mass (or center of gravity) of a system. A) True B) False Two forces produce equal torques on a door about the door hinge. The first force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force has a greater magnitude? A) the first force (at the midpoint) B) the second force (at the doorknob) C) The two forces are equal. If the sum of the external forces on an object is zero, then the sum of the external torques on it must also be zero. A) True B) False If the sum of the external torques on an object is zero, then the sum of the external forces on it must also be zero. A) True B) False
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