A \"swing\" ride at an amusement park consists of chairs that are swung in a hor

Question

A "swing" ride at an amusement park consists of chairs that are swung in a horizontal circle by an 8m long cable which rotates around a vertical axis. If the chair and its rider have a combined mass of M = 100kg and the cable is at the angle shown, find the tangential speed of the chair and the tension in the cable. Another amusement park ride has a cylinder rotating about a vertical axis. When it is spinning fast enough, the floor is dropped down and the riders stick to the walls well above the floor. Find the minimum tangential speed of the rider needed to make certain that the rider remains suspended above the floor. Express your answer in terms of the radius of the circle (R), the coefficient of static friction between the rider and the wall ( mu s) and the gravitational acceleration (g). Note that when you are done, the answer will not depend upon the riders mass. At a carnival a stuntman rides a motorized cart in a vertical circle of radius 5m. Find the minimum speed the cart needs at point A to avoid falling off the track. A Find the magnitude of the car's tangential acceleration at point B.

Explanation / Answer

I will tell you the procedure

1. Tcos35 = mg

Tsin35 = mv^2/r where r is the horizontal radius from the axis of the rotation

2.N=mv^2/r

this is the normal reaction

use U*N= mg

where U is coefficient of friction

3.min speed required is sqrt(5gl) where l is the radius

comment if you have any doubts

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