A massless rigid rod of length L has a ball of mass m attached to one end

Question:

A massless rigid rod of length L has a ball of mass m attached to one end (Figure). The other end is pivoted in such a way that the ball will move in a vertical circle. First, assume that there is no friction at the pivot. The system is launched downward from the horizontal position A with initial speed v0. The ball just barely reaches point D and then stops.

(a) Derive an expression for v0 in terms of L, m, and g.

(b) What is the tension in the rod when the ball passes through B?

(c) A little grit is placed on the pivot to increase the friction there. Then the ball just barely reaches C when launched from A with the same speed as before. What is the decrease in the mechanical energy during this motion?

(d) What is the decrease in the mechanical energy by the time the ball finally comes to rest at B after severaloscillations?

A massless rigid rod of length L has a ball
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Fundamentals of Physics

ISBN: 978-0470469118

9th Edition

Authors: Jearl Walker, Halliday Resnick

Question Posted: