A solid disc of radius. 10 m is mounted on the vertical axis. A string of negligible masses wrapped around the rim of the disc passes over a small, lightweight, frictionless pulley as shown above and is tied to a block of mass .05 kg. The system is released from Russ, and a computer requires a velocity of the following block as a function of time, as shown below. Calculate the acceleration of the following block. Use your result from part a to calculate the rotational inertia of the desk. Calculate the angular momentum of the disc at time T equals . 4 five seconds. The disc removed and replaced with a hoop of the same mass and radius but with all of its mass concentrated near the rim of the hoop and connected to the axis by light weight spokes. The experiment is then repeated. Is the angular acceleration of the hoop greater than, less than, or The same as that of the solid disk?

A solid disc of radius. 10 m is mounted on the vertical axis. A string of negligible masses wrapped around the rim of the disc passes over a small, lightweight, frictionless pulley as shown above and is tied to a block of mass .05 kg. The system is released from Russ, and a computer requires a velocity of the following block as a function of time, as shown below. Calculate the acceleration of the following block. Use your result from part a to calculate the rotational inertia of the desk. Calculate the angular momentum of the disc at time T equals . 4 five seconds. The disc removed and replaced with a hoop of the same mass and radius but with all of its mass concentrated near the rim of the hoop and connected to the axis by light weight spokes. The experiment is then repeated. Is the angular acceleration of the hoop greater than, less than, or The same as that of the solid disk?

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Question

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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