A wheel is rotating clockwise as shown (by the arrow). Its rotation axis coincides with the x-axis. A torque that causes the wheel to slow down is best represented by the vector

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The shaft of an elevator motor turns clockwise at 180 rpm for 10 s, is at rest for 15 s, then turns counterclockwise at 240 rpm for 12.5 s. What is the angular displacement of the shaft during this motion? Draw angular position and angular velocity graphs for the shaft’s motion

A student is holding a mounted bicycle wheel that is rotating in the direction shown by the curved arrow. If she rotates the bicycle wheel 180° by switching the positions of her left and right hand, which direction will the angular momentum vector point ?

A uniform horizontal disk of radius 5.50 m turns without friction at w = 2.30 rev/s on a vertical axis through its center, as in the figure below. A feedback mechanism senses the angular speed of the disk, and a drive motor at A ensures that the angular speed remain constant while a m = 1.20 kg block on top of the disk slides outward in a radial slot. The block starts at the center of the disk at time t = 0 and moves outward with constant speed v = 1.25 cm/s relative to the disk until it reaches the edge at t = 465 s. The sliding block experiences no friction. Its motion is constrained to have constant radial speed by a brake at B, producing tension in a light string tied to the block. (a) Find the torque as a function of time that the drive motor must provide while the block is sliding. Hint: The torque is given by = 2mrvw. t N-m (b) Find the value of this torque at t= 465 s, just before the sliding block finishes its motion. N.m 2.52 (c) Find the power which the drive motor must…

Problem: Your friend, sitting on a stool at rest, is handed a bicycle wheel (figure on left) of mass m = 2.0 kg and radius R. = 0.40 m, spinning with angular velocity w = rad/s. Your friend then abruptly flips the wheel (figure on right) such that it continues to rotate with the same angular speed, but in exactly the opposite direction. What is your friend's angular velocity immediately after your friend flips the bicycle wheel? The bicycle wheel can be modeled as a hoop (Ihoop = mR²). Your friend can be modeled as a cylinder (Ieylinder = Mr²) of mass M = 68.0 kg and radius r = 0.36 m. 21.AO rad/s BO rad/s CO rad/s DO rad/s EO None of the above

The earth spins on its axis once a day and orbits the sun once a year (360 days !!!). In each case take the positive direction for the angular displacement to be the direction of the earth's motion. Determine its angular velocity as it revolves around the sun.