Swinging a Rock in a Circle

Swinging a Rock in a Circle#

Stewie watches as a rock tied to a string is swung clockwise in a vertical circle of radius r. The string breaks when θ = 0. Stewie observes that the rock reaches a maximum height h relative to the height of the centre of the circle. What is the angular speed ω of the circular motion at the instant just before the string breaks?

For

Use

g

g

h

h

r

r

Stewie is seen swinging a rock on a string of length r, which is at an angle theta from horizontal. The rock reaches a height h once the string breaks.

Part 1#

Find an expression for ω in terms of h, r, and the gravitational acceleration g.

Answer Section#

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.