A person sitting firmly over a rotating stool has his arms stretched. If he folds his arms, his angular momentum about the axis of rotation (a) increases (c) remains unchanged (b) decreases (d) doubles.
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- A metal hoop lies on a horizontal table, free to rotate about a fixed vertical axis through its center while a constant tangential force applied to its edge exerts a torque of magnitude 1.75 x 10-2 N · m for 3.00 s. HINT (a) Calculate the magnitude of the hoop's change in angular momentum (in kg · m2/s). |kg - m²/s (b) Find the change in the hoop's angular speed (in rad/s) if its mass and radius are 0.270 kg and 0.180 m, respectively. rad/sA figure skater is spinning with an angular velocity of +13.1 rad/s. She then comes to a stop over a brief period of time. During this time, her angular displacement is +3.84 rad. Determine (a) her average angular acceleration and (b) the time during which she comes to rest.A figure skater is spinning with an angular velocity of +16.4 rad/s. She then comes to a stop over a brief period of time. During this time, her angular displacement is +3.65 rad. Determine (a) her average angular acceleration and (b) the time during which she comes to rest.
- help An ice skater with a moment of inertia of 15 kg m2 spinning at 11 rad/s extends her arms, thereby changing her moment of inertia to 26 kg m2. Find the new angular velocity. Hint: conserve angular momentum!At the moment of take-off, a diver's moment of inertia (I) was 50 kgm^2 and angular velocity about a mediolateral axis was 90 degrees/s. later in the dive, I (moment of inertia) changed to 15 kgm^2. What was the new angular velocity?A playground merry-go-round (a solid disk) has a mass of 120 kg and a radius of 1.80 m and it is rotating with an angular velocity of 0.500 rev/s. What is its angular velocity after a 22.0-kg child (who is initially at rest) gets onto it by grabbing its outer edge? (You can approximate the child as a point mass). (Hint: here you'll need to use the conservation of angular momentum.) a. 0.683 rev/s b. 0.415 rev/s c. 0.366 rev/s d. 0.129 rev/s
- A student sits on a rotating stool holding two 3.20-kg objects. When his arms are extended horizontally, the objects are 1.00 m from the axis of rotation and he rotates with an angular speed of 0.750 rad/s. The moment of inertia of the student plus stool is 3.00 kg • m and is assumed to be constant. The student then pulls in the objects horizontally to 0.490 m from the rotation axis. (a) Find the new angular speed of the student. rad/s (b) Find the kinetic energy of the system (student/stool/objects) before and after the objects are pulled in. before J afterJust after a motorcycle rides off the end of a ramp and launches into the air, its engine is turning counterclockwise at 7800 rev/min. The motorcycle rider forgets to throttle back, so the engine's angular speed increases to 13000 rev/min. As a result, the rest of the motorcycle (including the rider) begins to rotate clockwise about the engine at 3.10 rev/min. Calculate the ratio IE/IM of the moment of inertia of the engine to the moment of inertia of the rest of the motorcycle (and the rider). Ignore torques due to gravity and air resistance.A figure skater is spinning with an angular velocity of +11.9 rad/s. She then comes to a stop over a brief period of time. During this time, her angular displacement is +3.54 rad. Determine (a) her average angular acceleration and (b) the time during which she comes to rest. (a) Number Units (b) Number Units
- 5A 7.33 kg particle with velocity (1.80 m/s)i (6.97 m/s ) is at x = 5.08 m, y = 3.64 m. It is pulled by a 5.87 N force in the negative x direction. About the origin, what are (a) the particle's angular momentum, (b) the torque acting on the particle, and (c) the rate at which the angular momentum is changing? (a) Number i (b) Number (c) Number I i = k Units k Units k Units >A figure skater is spinning with an angular velocity of +18.8 rad/s. She then comes to a stop over a brief period of time. During this time, her angular displacement is +4.94 rad. Determine (a) her average angular acceleration and (b) the time during which she comes to rest. (a) Number Units (b) Number i Units Save for Later