Question

A solid cylindrical disk whose mass is 1.4 kg and radius is 8.5 cm, rolls across a horizontal table at a speed of 15 cm/...


A solid cylindrical disk whose mass is 1.4 kg and radius is 8.5 cm, rolls across a horizontal table at a speed of 15 cm/s. What is the instantaneous velocity of the top of the rolling cylinder? What is the angular speed of the rolling disk? What is the kinetic energy of the rolling disk? *

Answer

Given data:

Physics homework question answer, step 1, image 1

The instantaneous velocity of the top of the rolling cylinder can be determined as,

Physics homework question answer, step 2, image 1

The angular speed of the rolling disk can be determined as,

Physics homework question answer, step 3, image 1

Put all the known values.

Physics homework question answer, step 3, image 2

The moment of inertia of solid cylindrical disk is given as,

Physics homework question answer, step 4, image 1

Here, M and R represent the mass of the disk and the radius of the disk, respectively.

Physics homework question answer, step 4, image 2

The kinetic energy of the rolling disk can be determined as,

Physics homework question answer, step 5, image 1

Substitute all the known values in the above equation.

Physics homework question answer, step 6, image 1

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