# exam2 - elastic and after the collision the masses move...

This preview shows pages 1–2. Sign up to view the full content.

Phys. 3201 Midterm Exam II 07/13/04 Ground rules: 1. You have 1 hour and 45 minutes to complete all four problems (10 am - 11:45 am). 2. You are not allowed to discuss the problems with others. 3. You are not allowed to use the book or lecture notes. 4. You are allowed to use a piece of paper with anything you like written on it. 5. You are allowed to use a calculator. 1. (10 points) A solid uniform cylinder of radius a with a cylindrical hole of radius b whose center is at height c lies on a plane surface (see ﬁgure below). (a) Determine the condition on a , b , and c for which the equilibrium is stable. (b) Find the frequency of small oscillations about the stable equilibrium. c a b 2. (10 points) A mass m 1 collides head on with a mass m 2 . Before the collision m 2 is stationary and m 1 moves with velocity v . Find the ratio of the masses, if the collision is

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: elastic and after the collision the masses move with equal and opposite velocities. 3. (10 points) A uniform sphere of mass M and radius R and a uniform cylinder of mass M and radius R are released simultaneously from rest at the top of the inclined plane. Which body reaches the bottom ﬁrst, if they both roll without slipping? 4. (10 points) A ring of mass M and radius R lies on its side on a frictionless table. It is pivoted to the table at its rim. A bug of mass m walks around the ring with speed v , starting at the pivot. Assuming the ring is initially at rest, what is the rotational velocity of the ring when the bug is (a) halfway around and (b) back at the pivot point?...
View Full Document

{[ snackBarMessage ]}

### Page1 / 2

exam2 - elastic and after the collision the masses move...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online