A solid ball of radius R = 14.0 cm is initially rotating clockwise at 15.0 rev/s and not translating. The wheel is lowered onto a horizontal surface, where the coefficient of kinetic friction is uy = 0.180. Initially, the ball slips as it rolls along the surface, but after some time t, it begins to roll without slipping. What is the time t, in seconds? Justify your answer with your rationale and equations used. Iphere =MR Ltsk = MR Inoop = MR Edit View Insert Format Tools Table Paragraph v B IU Av 2 Tv| E、 回 Q 总| =v | 田 12pt v

Please answer C, D, E The angular position of a rod varies as 20.7t2 radians from time t = 0. The rod has two beads on it as shown in the following figure, one at  r1 = 13 cm from the rotation axis and the other at  r2 = 32 cm from the rotation axis. (Note: figure may not be drawn to scale.)   (a) What is the instantaneous angular velocity (in rad/s) of the rod at t = 3 s? (Indicate the direction with the sign of your answer. Round your answer to at least one decimal place.) 1.24.2 rad/s,  ANSWERED (b) What is the angular acceleration (in rad/s2) of the rod at t = 3 s? (Indicate the direction with the sign of your answer.) 41.4  rad/s2,  ANSWERED (c) What are the tangential speeds of the beads (in m/s) at t = 3 s? vt, 1 =16.146 m/s,  ANSWERED vt, 2 =____m/s  (d)What are the tangential accelerations of the beads at t = 3 s? (Enter the magnitudes in m/s2.) at, 1 = ______ m/s2 at, 2 = ______ m/s2   (e) What are the centripetal accelerations of the beads at t = 3 s? (Enter the magnitudes…

A ball of radius0.226 m rolls along a horizontal tabletop with a constant linear speed of 5.36 m/s. The ball rolls off the edge and falls a vertical distance of 2.47 m before hitting the floor.  What is the angular displacement of the ball while it is in the air? Use g=9.8

Problem 7 : A sphere of radius r0 = 24.0 cm and mass m = 1.20kg starts from rest and rolls without slipping down a 33.0∘ incline that is 15.0 m long. Part A Calculate its translational speed and rotational speed when it reaches the bottom. Does the answers depend on mass or radius of the ball? Part C What is the ratio of translational to rotational kinetic energy at the bottom?(Ktr/Krot=?) Does the answer depend on mass or radius of the ball?

Your grandmother enjoys creating pottery as a hobby. She uses a potter's wheel, which is a stone disk of radius R = 0.540 m and mass M = 100 kg. In operation, the wheel rotates at 45.0 rev/min. While the wheel is spinning, your grandmother works clay at the center of the wheel with her hands into a pot-shaped object with circular symmetry. When the correct shape is reached, she wants to stop the wheel in as short a time interval as possible, so that the shape of the pot is not further distorted by the rotation. She pushes continuously with a wet rag as hard as she can radially inward on the edge of the wheel and the wheel stops in 6.00 s.   You would like to build a brake to stop the wheel in a shorter time interval, but you must determine the coefficient of friction (?k) between the rag and the wheel in order to design a better system. You determine that the maximum pressing force your grandmother can sustain for 6.00 s is 65.0 N. What If? If your grandmother instead chooses to press…

A ship's wheel can be approximated as an annular cylinder (different from a ring) of mass 6.7 kilograms, inner radius 25 centimeters, and outer radius 32 centimeters; and eight spokes of mass 0.50 kilograms and length 49 centimeters.   a. What is the moment of inertia? Include units in your answer. More information. b. Disagreeing over which way to go, the captain and the helmsman try to turn the wheel in opposite directions. The captain applies a force of 311 newtons at the inner radius, while the helmsman applies a force of 287 newtons at the outer radius. What is the magnitude of the angular acceleration of the wheel? Include units in your answer.

The angular speed of a wheel decreases uniformly from 34.0 rad/s to 2.0 rad/s in 18.0 s.A. Find the constant angular acceleration in rad/s^2.B. Find the number of revolutions made by the wheel in this time.

A figure skater has a rotational inertia of 276 kg m² when spinning with arms and one leg outstretched. She is rotating at 56 rpm. When she brings in her arms, her rotational inertia becomes 85 kg m2. What is her new angular velocity in revolutions per minute? (Note: the randomization of numbers may create very unrealistic situations. Just do the math and enter what you get.) What is her new angular velocity in rad/s?

please answer this question all parts.

A wheel of radius 0.447 m is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.0458 kg-m2. A massless cord wrapped around the wheel is attached to a 3.00 kg block that slides on a horizontal frictionless surface. If a horizontal force of magnitude P = 2.91 N is applied to the block as shown in the figure, what is the angular acceleration of the wheel? Take the clockwise direction to be the negative direction and assume the string does not slip on the wheel.