Question

An green hoop with mass m_h = 2.7 kg and radius R_h = 0.16 m hangs from a string that goes over a blue solid disk pulley with mass m_d = 2.3 kg and radius R_d = 0.1 m. The other end of the string is attached to a massless axel through the center of an orange sphere on a flat horizontal surface that rolls without slipping and has mass m_s = 4.2 kg and radius R_s = 0.24 m. The system is released from rest.

1)

What is magnitude of the linear acceleration of the hoop?

m/s²

2)

What is magnitude of the linear acceleration of the sphere?

m/s²

3)

What is the magnitude of the angular acceleration of the disk pulley?

rad/s²

4)

What is the magnitude of the angular acceleration of the sphere?

rad/s²

5)

What is the tension in the string between the sphere and disk pulley?

N

6)

What is the tension in the string between the hoop and disk pulley?

N

7)

The green hoop falls a distance d = 1.7 m. (After being released from rest.)

How much time does the hoop take to fall 1.7 m?

s

8)

What is the magnitude of the velocity of the green hoop after it has dropped 1.7 m?

m/s

9)

What is the magnitude of the final angular speed of the orange sphere (after the green hoop has fallen the 1.7 m)?

rad/s

Answer 1