The frictional force acting on a rolling ball must be zero.

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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 20P

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To Show: The frictional force acting on a rolling ball must be zero.

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A box and a solid cylinder of equal mass M are moving across horizontal surfaces which are joined to ramps, as shown in the figure. The surface on which the box moves is frictionless, but the surface on which the cylinder rolls is not, so that the cylinder rolls without slipping. Both ramps have the same angle of inclination 0. V V If both objects have the same velocites v just as they reach the ramps, what is the ratio of the maximum center- of-mass heights reached by the two objects, hpox/hcyl? 1/2 3/4 2/3 4/3 Now imagine that both ramps are frictionless, and that the box and the cylinder arrive at the start of their ramps with the same initial velocities v. How does the new height, Hcyl,noFriction compare to hBox? O Hcyl,noFriction > hBox O Hcyl,noFriction < hBox O Hcyl,noFriction = hBox

The uniform 20 Ib bar below is three feet long and has an angular velocity of 3 rad/sec clockwise. Point Cis the center of mass of the bar. The initial velocity of point C at the instant shown is zero. Neglecting interaction with the air, what is the angular velocity of the bar after its center has dropped 10 feet? Use the acceleration due to gravity, g 322 ft/sec. 30 Used with permission from "Engineering Mechanics: Dynamics," McGilIKing 4th Ed., 2003 O -O rad/sec O - 200 rad/sec clockwise O -3 rad/sec clockwise O None of the above

Answer 2

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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 20P

To determine

To Show: The frictional force acting on a rolling ball must be zero.

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Answer 3

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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 20P

To determine

To Show: The frictional force acting on a rolling ball must be zero.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 4

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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 20P

To determine