Unwinding+Cylinder - Remember that upward motion...

Download Document
Showing pages : 1 of 1
This preview has blurred sections. Sign up to view the full version! View Full Document
Unwinding Cylinder A cylinder with moment of inertia about its center of mass, mass , and radius has a string wrapped around it which is tied to the ceiling. The cylinder's vertical position as a function of time is . At time the cylinder is released from rest at a height above the ground. A. The string constrains the rotational and translational motion of the cylinder. What is the relationship between the angular rotation rate and , the velocity of the center of mass of the cylinder?
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Remember that upward motion corresponds to positive linear velocity, and counterclockwise rotation corresponds to positive angular velocity. Express in terms of and other given quantities. B. Not available C. Suppose that at a certain instant the velocity of the cylinder is . What is its total kinetic energy, , at that instant? Express in terms of , , , and . D. Find , the cylinder's vertical velocity when it hits the ground. Express , in terms of , , , , and ....
View Full Document

Create a FREE account now to get started. Log In

The email address you entered is not valid. The email address you provided is already in use.
Your username must be at least 5 characters. Your username must consist of only alphanumeric characters. Your username must contain at least one letter. Your username contains inappropriate language. Another user has already claimed this username.
Your password must be at least 6 characters in length.
{[ $select.selected.label ]} Please select a valid school.
By creating an account you agree to our Privacy Policy, Terms of Use, and Honor Code.
Create my FREE account Processing...
Sign Up with Facebook

We will never post anything without your permission.

Already on Course Hero? Log In