Consider a 10 kg solid cylindrical drum with radius 1 m rotating about its cylindrical axis under the influence of force produced by a 30 kg mass attached to a cord wound around the drum. What is the moment of inertia, torque, and angular acceleration, (1 = mr2/2)

An old grindstone, used for sharpening tools, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 200 N applied to its edge causes the wheel to have an angular acceleration of 0.936 rad/s². (a) What is the moment of inertia of the wheel (in kg. m²)? kg - m² (b) What is the mass (in kg) of the wheel? kg (c) The wheel starts from rest and the tangential force remains constant over a time period of 5.50 s. What is the angular speed (in rad/s) of the wheel at the end of this time period? rad/s F9 D

PLEASE DRAW AN FBD AND ANSWER IT ON A PAPER   The figure shown is on a fixed frictionless axle. It has a moment of inertia of I = 50 kg-m2 . The forces acting on the object are F1 = 100 N, F2 = 200 N, and F3 = 250 N acting at different radii R1 =60 cm, R2 = 42 cm, and R3 = 28 cm. Determine the angular acceleration of the object.

An object has a moment of inertia of 0.79 kg m2. Its angular velocity is increasing at the rate of 0.40 rad/s per second. What is the net torque (in N m2) on the object?

You spin a disk, giving it an initial angular velocity of 2.50 rad/s clockwise. After you give it that initial spin, the disk has a constant angular acceleration of 0.400 rad/s? counterclockwise. (a) How much time passes before the disk reverses direction? (b) What is the disk's angular displacement, relative to its starting position, at the instant it comes instantaneously to rest? rad (c) At t = 12.0 s after you gave it its initial angular velocity, what is the disk's angular velocity? Use a positive sign for clockwise, and a negative sign for counterclockwise. rad/s

Conceptual Example 14 provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 125 kg-m². When one person is standing on the carousel at a distance of 1.50 m from the center, the carousel has an angular velocity of 0.600 rad/s. However, as this person moves inward to a point located 0.917 m from the center, the angular velocity increases to 0.800 rad/s. What is the porcon's marr?

Consider a person who is sitting on a frictionless rotating stool. The person initially has his arms outstretched and is rotating with an angular speed of 5.0 rad/s. He then pulls his arms close to his body, thus reducing his moment of inertia to 80% of the initial one. What is his final angular speed?

A wheel that is initially at rest is mounted on an axle that is not frictionless. When a constant external torque of 50.0 N-m is applied to the wheel for 25.0 s the wheel angularly accelerates to an angular speed of 750 rpm. The external torque is removed and the wheel comes to rest after 120 s due to the friction at the axle. Write down N2L for each situation. What is (a) the moment of inertia of the wheel and (b) the magnitude of the frictional torque on the wheel at the axle (which is assumed to be constant)? (c) Include a complete diagram of each situation.

A motorcyclist is traveling along a road and accelerates for 4.11 s to pass another cyclist. The angular acceleration of each wheel is +7.42 rad/s2, and, just after passing, the angular velocity of each is +76.5 rad/s, where the plus signs indicate counterclockwise directions. What is the angular displacement of each wheel during this time?

Chapter 10, Problem 053 GO The figure shows a uniform disk that can rotate around its center like a merry-go-round. The disk has a radius of 1.6 cm and a mass of 24 grams and is initially at rest. Starting at time t = 0, two forces are to be applied tangentially to the rim as indicated, so that at time t = 1.3 s the disk has an angular velocity of 290 rad/s counterclockwise. Force F, has a magnitude of 0.102 N. What is magnitude F2? Number Units the tolerance is +/-2% Click if you would like to Show Work for this question: Open Show Work