Riders in an amusement park ride shaped like a Viking ship hung from a large pivot are rotated back and forth like a rigid pendulum. Sometime near the middle of the ride, the ship is momentarily motionless at the top of its circular arc. The ship then swings down under the influence of gravity. (a) Assuming negligible friction, find the speed (in m/s) of the riders at the bottom of its arc, given the system's center of mass travels in an arc having a radius of 16.0 m and the riders are near the center of mass. (Assume the top of the circular arc is when the pendulum arm is horizontal. You may need to use energy methods from the next chapter.)   (b) What is the centripetal acceleration (in m/s2) at the bottom of the arc?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Riders in an amusement park ride shaped like a Viking ship hung from a large pivot are rotated back and forth like a rigid pendulum. Sometime near the middle of the ride, the ship is momentarily motionless at the top of its circular arc. The ship then swings down under the influence of gravity.
(a)
Assuming negligible friction, find the speed (in m/s) of the riders at the bottom of its arc, given the system's center of mass travels in an arc having a radius of 16.0 m and the riders are near the center of mass. (Assume the top of the circular arc is when the pendulum arm is horizontal. You may need to use energy methods from the next chapter.)
 
(b)
What is the centripetal acceleration (in m/s2) at the bottom of the arc?
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