A solid cylinder of radius 0.500 [m] is wrapped with a massless string to simulate a yo-yo. Holding the free end of the string stationary, the cylinder is dropped from a height of 2.50 [m] from the ground. Right before it hits the ground, the cylinder was found to have an angular velocity of 5.00 [rad/s]. Assuming that the string does not slip or stretch as the cylinder descends and rotates, what is the angular acceleration of the cylinder?

icon
Related questions
Question

A solid cylinder of radius 0.500 [m] is wrapped with a massless string to simulate a yo-yo. Holding the free end of the string stationary, the cylinder is dropped from a height of 2.50 [m] from the ground. Right before it hits the ground, the cylinder was found to have an angular velocity of 5.00 [rad/s]. Assuming that the string does not slip or stretch as the cylinder descends and rotates, what is the angular acceleration of the cylinder?

  1. 2.87 [rad/s2]
  2. 3.36 [rad/s2]
  3. 5.73 [rad/s2]
  4. 6.71 [rad/s2]
A solid cylinder of radius 0.500 [m] is wrapped with a massless string to simulate a yo-yo.
Holding the free end of the string stationary, the cylinder is dropped from a height of 2.50 [m]
from the ground. Right before it hits the ground, the cylinder was found to have an angular
velocity of 5.00 [rad/s]. Assuming that the string does not slip or stretch as cylinder descends
and rotates, what is the angular acceleration of the cylinder?
A. 2.87 [rad/s?]
B. 3.36 [rad/s?]
C. 5.73 [rad/s?]
D. 6.71 [rad/s?]
Transcribed Image Text:A solid cylinder of radius 0.500 [m] is wrapped with a massless string to simulate a yo-yo. Holding the free end of the string stationary, the cylinder is dropped from a height of 2.50 [m] from the ground. Right before it hits the ground, the cylinder was found to have an angular velocity of 5.00 [rad/s]. Assuming that the string does not slip or stretch as cylinder descends and rotates, what is the angular acceleration of the cylinder? A. 2.87 [rad/s?] B. 3.36 [rad/s?] C. 5.73 [rad/s?] D. 6.71 [rad/s?]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer