Dynamics: Note 10. Vertical Circular Motion. Circular motion is not always in the horizontal plane. Sometimes circular m
Dynamics: Note 10
Vertical Circular Motion Circular motion is not always in the horizontal plane. Sometimes circular motion is vertical. An example of this is a rollercoaster going around a loop or an airplane doing a loop-de-loop. When doing a problem with vertical motion, we need to consider more forces other than centripetal force (such as gravitational forces). Consider the following example: Eg. 1. A pilot of mass 70.0 kg in a jet goes for a loop-de-loop. The airplane goes around a circle of radius 2.70 km at a constant speed of 225.0 m/s. Determine the force exerted by the seat on the pilot: a) At the bottom of the loop: “g” Force: b) At the top of the loop: “g” Force: Eg. 2. A ball of mass 1.50 kg is being swung around on the end of a string in a vertical loop of radius 0.90 m. What is the minimum speed needed to keep the ball swinging in the loop?
