A rigid bearing assembly with a point mass m = 1.15 kg, suspended at the end of a thin rod of length l = 0.750 m, is forced to rotate uniformly with angular velocity ω = 3.80 rad/s about a vertical axis. See the figure below. The angle between the rotation axis and the rod is θ. Neglect the inertia of the bearing and of the rod connecting it to the mass. Neglect friction. Include the effects of the uniform force of gravity. What is the magnitude of the angular momentum of the system (due to the point mass) about the vertical axis of rotation of the bearing?

A machine part has the shape of a solid uniform sphere of mass 255 g and diameter 4.50 cm . It is spinning about a frictionless axle through its center, but at one point on its equator it is scraping against metal, resulting in a friction force of 0.0200 N at that point. Find its angular acceleration. Let the direction the sphere is spinning be the positive sense of rotation. How long will it take to decrease its rotational speed by 20.0 rad/s ?

A cord is wrapped around the rim of a wheel 0.300 m in radius, and a steady pull of 38.5 NN is exerted on the cord. The wheel is mounted on frictionless bearings on a horizontal shaft through its center. The moment of inertia of the wheel about this shaft is 5.35 kg⋅m2   Compute the angular acceleration of the wheel.

In the figure, two 6.90 kg blocks are connected by a massless string over a pulley of radius 1.10 cm and rotational inertia 7.40 x 10-4 kg-m². The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.900 rad in 148 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T1, and (d) string tension T2? Assume free-fall acceleration to be equal to 9.81 m/s?. (a) Number i Units (b) Number Units (c) Number Units (d) Number Units >

An old millstone, used for grinding grain in a gristmill, 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 300 N applied to its edge causes the wheel to have an angular acceleration of 0.880 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

To develop muscle tone, a woman lifts a 4.00 kg weight held in her hand. She uses her biceps muscle to flex the lower arm through an angle of 60.0°. (a) What is the angular acceleration (in rad/s2) if the weight is 24.0 cm from the elbow joint, her forearm has a moment of inertia of 0.250 kg · m2, and the net force she exerts is 650 N at an effective perpendicular lever arm of 2.20 cm? (Ignore gravity) (b) How much work (in J) does she do?

In the figure, two 5.70 kg blocks are connected by a massless string over a pulley of radius 140 cm and rotational inertia 7.40 x 104 kg-m². The string does not slip on the pulley: it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 1.20 rad in 126 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T, and (d) string tension T;? Assume free-fall acceleration to be equal to 9.81 ms?. (a) Number Units (b) Number Units (c) Number Units (d) Number Units >

In the figure, two 6.30 kg blocks are connected by a massless string over a pulley of radius 1.30 cm and rotational inertia 7.40 x 104 kg-m2. The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is released from rest, the pulley turns through 0.800 rad in 126 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acceleration, (c) string tension T,, and (d) string tension T,? Assume free-fall acceleration to be equal to 9.81 m/s. (a) Number Units (b) Number Units (c) Number Units (d) Number Units