A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure below). Let the rotational inertia of the sphere be Isphere. A massless cord passes around the equator of the sphere, over a pulley with rotational inertia I pulley and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle and the cord does not slip on the pulley. At t = 0, the mass...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure below). Let the rotational inertia of the sphere behe.A massless cord passes around the equator of the sphere, overs pulley with rotational inertial and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle and the cord does not slip on the pulley. Att 0, the mass m has speed Vo The system is...
4, A uniform solid sphere of mass M 10.0 kg and radius R 0.50 m rotates about a vertical axis on frictionless bearings. A massless cord passes around the equator of the sphere, over a pulley of rotational inertia 1-1.60 kg. m2, and radius r = 0.40 m, and is attached to a block of mass m 8.00 kg which is released from rest. The cord does not slip on the sphere or pulley, and the pulley bearings are frictionless....
A uniform spherical shell of mass M = 16.0 kg and radius R = 0.690 m can rotate about a vertical axis on frictionless bearings (see the figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 0.140 kg·m2 and radius r = 0.110 m, and is attached to a small object of mass m = 3.10 kg. There is no friction on the pulley's axle; the cord does not slip...
A uniform spherical shell of mass M = 3.0kg and radius R = 12.0 cm rotates about a vertical axis on frictionless bearings (see the figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 2.38×10-3 kg m2 and radius r = 5.0 cm, and its attached to a small object of mass m = 1.0 kg. There is no friction on the pulley's axle; the cord does not slip on...
10 pts Question 8 Am 1= 24.0-kg object and a m 2 = 6.0-kg object are suspended, joined by a cord that passes over a pulley with a radius of R= 10.0 cm and a mass of M = 3.60 kg as seen in the Figure. The cord has a negligible mass and does not slip on the pulley. The pulley rotates on its axis without friction. The objects start from rest d = 4.20m apart. Treat the pulley as...
A uniform cylinder of radius r15.0 cm and mass m 1.70 kg is rolling without slipping on a horizontal tabletop. The cylinder's center of mass is observed to have a speed of 4.60 m/s at a given instant. (a) What is the translational kinetic energy of the cylinder at that instant? J (b) What is the rotational kinetic energy of the cylinder around its center of mass at that instant? J (c) What is the total kinetic energy of the...
(a) A uniform disk of mass 14 kg, thickness 0.5 m, and radius 0.4 m is located at the origin, oriented with its axis along the y axis. It rotates clockwise around its axis when viewed from above (that is, you stand at a point on the +y axis and look toward the origin at the disk). The disk makes one complete rotation every 0.5 s. What is the rotational angular momentum of the disk? What is the rotational kinetic...
A uniform disc with mass M and radius R = 0.10 m is mounted on a frictionless, horizontal axle, as shown in the figure. The light cord wrapped around the disk is pulled so that it has a constant tension of T = 20.0 N. Starting from the rest, the disk performs a rotational motion with a constant angular acceleration a = 2 rad/s2 Find mass M of the disk. (Note that the moment of inertia of the disk is...