Problem 37P

A very slippery ice cube slides in a vertical plane around the inside of a smooth, 20-cm-diameter horizontal pipe. The ice cube’s speed at the bottom of the circle is 3.0 m/s.

a. What is the ice cube’s speed at the top?

b. Find an algebraic expression for the ice cube’s speed when it is at angle 9, where the angle is measured counterclockwise from the bottom of the circle. Your expression should give 3.0 m/s for θ = 0° and your answer to part a for θ = 180°.

Solution 37P

Step 1 of 5

An ice cube sliding in a vertical plane inside a smooth horizontal pipe. We need to find (a) The speed of the ice cube at the top. (b) To find the algebraic expression for the speed of ice cube, and also to find the value at in part (a).