In the cylinder, cable, and block apparatus, you attach an electric motor to the axis of the cylinder of mass M and radius R and turn the motor on. As a result the block of mass m moves upward with an upward acceleration of magnitude a. What is the tension in the cable between the cylinder and the block? What is the magnitude of the torque that the cable exerts on the cylinder? What is the magnitude of the torque that the motor exerts on the cylinder?
In the cylinder, cable, and block apparatus, you attach an electric motor to the axis of...
A light cable is wrapped around a solid cylinder with mass M = 1.50 kg and radius R = 0.20 m as shown in the figure below. The cylinder rotates with negligible friction about a stationary horizontal axis. The free end of the cable is tied to a block of mass m = 0.50 kg. The block, initially at rest, is released at a height h = 1.00 m above the floor. As the block falls, the cable unwinds without...
A bucket of mass m is hanging from the free end of a rope whose other end is wrapped around a drum (radius R, mass M) that can rotate with negligible friction about a stationary horizontal axis. The drum is not a uniform cylinder and has unknown moment of inertia. When you release the bucket from rest, you find that it has a downward acceleration of magnitude (a). What is the tension in the cable between the drum and the...
A string is wrapped around a uniform solid cylinder of radius r, as shown in the Figure below. The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. 1. Find the magnitude a of the linear acceleration of the block. 2. Find the magnitude T of the tension in the string.
A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Find the magnitude alpha of the angular acceleration of the cylinder as the block descends. Express your answer in terms of the cylinder's radius r and the magnitude of the acceleration due to gravity g.
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A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Find the magnitude alpha of the angular acceleration of the cylinder as the block descends. Express your answer in terms of the cylinder's radius r and the magnitude of the acceleration due to...
A string is wrapped around a uniform solid cylinder of radius r, as shown in (Figure 1). The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Part A. Find the magnitude α of the angular acceleration of the cylinder as the block descends. Express your answer in terms of the cylinder's radius r and the magnitude of the acceleration due to gravity...
A string is wrapped around a uniform solid cylinder of radius
4.60 cm, as shown in the figure. The cylinder can rotate freely
about its axis. The loose end of the string is attached to a block.
The block has mass 19.6 kg, and the cylinder has mass 12.3
kg.
a) Find the magnitude α of the angular acceleration of the cylinder
as the block descends.
b)What is the acceleration of the block?
c)What is the tension in the string?
A string is wrapped around a uniform solid cylinder of radius r, as shown in the figure (Figure 1) . The cylinder can rotate freely about its axis. The loose end of the string is attached to a block. The block and cylinder each have mass m. Note that the positive y direction is downward and counterclockwise torques are positive. Find the magnitude α of the angular acceleration of the cylinder as the block descends. Express your answer in terms...
In the figure below, a motor winds in the cable with a constant acceleration, such that the 10-kg crate moves a distance s = 3 min 3 seconds, starting from rest. (vo = 0). The coefficient of kinetic friction between the crate and the plane is Mk = 0.3. M A 30° Determine the tension T developed in the cable.
We wrap a light, flexible cable around a solid cylinder with mass 0.68 kg and radius 0.17 m . The cylinder rotates with negligible friction about a stationary horizontal axis. We tie the free end of the cable to a block of mass 1.42 kg and release the object with no initial velocity at a distance 1.63 m above the floor. As the block falls, the cable unwinds without stretching or slipping, turning the cylinder. Suppose the falling mass is made of ideal rubber,...