# A spindle is wrapped with a very fine silk thread and is sitting initially at rest on a horizontal table. The outer radius of the spindle is 10cm and the total mass of the spindle with the thread is 100 grams. You begin to pull on the thread with a constant force at an angle of 90 degrees to radius of the spindle. The thread is applying this force a distance of 5 cm from the center of the spindle. After the spindle has rolled 1m without slipping the total kinetic energy is 2 joules and the angular velocity is 2 rads/sec.A. What is the moment of inertia of the spindle? Assuming that the distance from the center of the spindle the thread is pulling is constant and the thread's mass can be ignored. B. Assuming that the coefficient of static friction is 0.5, what is the force of tension on the thread?

Question
6 views

A spindle is wrapped with a very fine silk thread and is sitting initially at rest on a horizontal table. The outer radius of the spindle is 10cm and the total mass of the spindle with the thread is 100 grams. You begin to pull on the thread with a constant force at an angle of 90 degrees to radius of the spindle. The thread is applying this force a distance of 5 cm from the center of the spindle. After the spindle has rolled 1m without slipping the total kinetic energy is 2 joules and the angular velocity is 2 rads/sec.

A. What is the moment of inertia of the spindle? Assuming that the distance from the center of the spindle the thread is pulling is constant and the thread's mass can be ignored.
B. Assuming that the coefficient of static friction is 0.5, what is the force of tension on the thread?

check_circle

Step 1

(A)

Consider the spindle as a solid cylinder, so the moment of inertia of the spindle is,

Substitute the values,

Step 2

(B)

The angular displacement of the spindle is,

According to the rotational kinematics of equation.

Substitute the values,

Step 3

The torque exerted on the spindle is,

Substitute the values ...

### 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

### Angular Motion 