Question

Notify Me Bookmark

A pulley rotates without friction about a fixed axis at its center, Point O. To blocks hang from the pulley at different radii. a. What is the rate of change on angular momentum of the whole system about the center of the pulley? (i. e. what is the net moment of the whole system about Point O?) b. What is the total mass moment of inertia of the whole system about the center of the pulley? c. What is the angular acceleration of the pulley?

A pulley rotates without friction about a fixed axis at its center, Point O. To blocks hang from the pulley at different radii. a. What is the rate of change on angular momentum of the whole system about the center of the pulley? (i. e. what is the net moment of the whole system about Point O?) b. What is the total mass moment of inertia of the whole system about the center of the pulley? c. What is the angular acceleration of the pulley?

Image text
A pulley rotates without friction about a fixed axis at its center, Point O . To blocks hang from the pulley at different radii. a. What is the rate of change on angular momentum of the whole system about the center of the pulley? (i.e. what is the net moment of the whole system about Point O?) b. What is the total mass moment of inertia of the whole system about the center of the pulley? c. What is the angular acceleration of the pulley?

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

Questions 13-16 A string is wound around the rim of a uniform disk that is pivoted to rotate without friction about a fixed axis through its center. The mass of the disk is m = 3 kg and its radius is R = 20 cm. The string is initially at rest and is pulled with a time dependent force F = F0t2 where F0 is given as 10 N/s2.13. What is the moment of inertia of this disk in kg⋅m2? (a) 0.48 (b) 0.12 (c) 0.03 (d) 0.06 (e) 0.24 14. What is the magnitude and direction of torque on the disk at t = 2 s? (a) 8 N⋅m, +x (b) 16 N⋅m, −z (c) 16 N⋅m, +y (d) 8 N⋅m, −x (e) 16 N⋅m, +z 15. What is the magnitude and direction of angular acceleration of the disk at t = 2 s? (a) 800/3 rad/s2, −z (b) 400/3 rad/s2, +x (c) 800/3 rad/s2, +y (d) 400/3 rad/s2, −x (e) 800/3 rad/s2, +z 16. What is the magnitude and direction of the angular velocity of the disk at t = 2 s? (a) 400 rad/s, −x (b) 800/9 rad/s, −x (c) 800 rad/s, +z (d) 800 rad/s, −z (e) 800 rad/s, +y
Solution
0 0

Q.6. A small point-like piece of clay with mass m = 200 g is traveling at a constant velocity v→0 = (30 m/s) î towards a stationary cylindrical hoop of mass M = 2000 g and radius R = 50 cm that is free to rotate about its central axis which is at the center of the zy-plane. Before sticking to the hoop, the clay is traveling along a horizontal line a distance d = 23 R. The clay impacts and sticks to the hoop at point A. a. What is the angular momentum of the system L → 0 before the collision about the origin? (include unit vector direction) b. What is the moment of inertia of the system after the clay sticks to the rod? c. Find the angular speed ω just after the collision. d. What is the kinetic energy of the system just after the collision? e. At what vertical height y does point A momentarily stop?
Solution
0 0

A uniform solid disk of mass m = 2.99 kg and radius r = 0.200 m rotates about a fixed axis perpendicular to its face with angular frequency 5.95 rad/s. (a) Calculate the magnitude of the angular momentum of the disk when the axis of rotation passes through its center of mass. kg⋅m2 /s (b) What is the magnitude of the angular momentum when the axis of rotation passes through a point midway between the center and the rim? kg⋅m2/s

Solution
0 0