A wagon wheel starts at rest at the top of an inclined plane that is 2m in height and rolls without slipping to the bottom. Ignore frictional forces. (a) Assume the radius of the wheel is 0.30 m and the rim has a mass of 1.4 kg. Each of the wheel’s eight spokes, which come out from the center and are 0.30 m long, has a mass of 0.28 kg. Find the wheel’s moment of inertia. (b) Find the speed of the object at the bottom of the plane.

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 >

In the figure, a constant horizontal force The wheel rolls smoothly on the horizontal surface, and the acceleration of its center of mass has magnitude 0.82 m/s2. (a) What is the magnitude of the frictional force on the wheel? (b) What is the rotational inertia of the wheel abeut the rotation axis through its center of mass? of magnitude 12 N is applied to a wheel of mass 7.8 kg and radius 0.27 m. app (a) Number Units N 6.2 (b) Number 0.683 Units kg m^2 Click if you would like to Show Work for this question: Open Show Work y Policy © 2000-2020 John Wiley & Sons, Inc. All Rights Reserved. A Division of John Wiley & Sons, Inc. Version 4.24.20.1

A uniform disk of mass 500 kg and radius 0.25 m is mounted on frictionless bearings so it can rotate freely around a vertical axis through its center (see the following figure). A cord is wrapped around the rim of the disk and pulled with a force of 10 N. (a) How much work has the force done at the instant the disk has completed three revolutions, starting from rest? (b) Determine the torque due to the force, then calculate the work done by this torque at the instant the disk has completed three revolutions? (c) What is the angular velocity at that instant? (d) What is the power output of the force at that instant?

A torque of 0.97 N*m is applied to a bicycle wheel of radius 35 cm and mass 0.75 kg. Treating the wheel as a hoop, find its angular acceleration.

A pulley on a frictionless axle has the shape of a uniform solid disk of mass 2.50 kg and radius 0.150m. A 1.50 kg stone is attached to a very light wire that is wrapped around the rim of the pulley (Fig), and the system isreleased from rest. (a) How far must the stone fall so that the stone has 1.20 m/s speed? (b) What percentage of the total kinetic energy does the pulley have?

Two wheels have the same mass and radius of 4.9kg and 0.45 m, respectively. One has (a) the shape of a hoop and the other (b) the shape of a solid disk. The wheels start from rest and have a constant angular acceleration with respect to a rotational axis that is perpendicular to the plane of the wheel at its center. Each turns through an angle of 13 rad in 8.4 s. Find the net external torque that acts on each wheel.

A 4 kg wheel held in a frame of negligible mass rolls down a 22 degree ramp. The frame is attached to a massless string, which in turn is threaded over a pulley of 4 cm radius and 0.50 kg mass. The string is then wound around a uniform hollow spherical globe (shell) having a radius of 15 cm and a mass of 0.07 kg, rotates about its vertical axis on frictionless bearings. Assuming the wheel starts from rest, find its velocity after it has traveled a distance deltas = 15 cm down the ramp.

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