# A uniform, solid cylinder of mass mc=6.35 kg and radius R=0.31 m is attached at its axle to a string. The string is wrapped around a small "ideal" pulley (negligible friction, Icm≈0) and is attached to a hanging block of mass mb=3.65 kg as indicated in the above figure. You release the objects from rest and the cylinder rolls without slipping. What is the magnitude of the acceleration of the block?

Question
95 views

A uniform, solid cylinder of mass mc=6.35 kg and radius R=0.31 m is attached at its axle to a string. The string is wrapped around a small "ideal" pulley (negligible friction, Icm≈0) and is attached to a hanging block of mass mb=3.65 kg as indicated in the above figure. You release the objects from rest and the cylinder rolls without slipping.

What is the magnitude of the acceleration of the block?

check_circle

star
star
star
star
star
1 Rating
Step 1

Draw the free body diagram of the cylinder and the block.

Step 2

For cylinder:

The toque acting on the cylinder is:

Step 3

For the cylinder, the formula for   is:

...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in