Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 9, Problem 100P
To determine
Minimum height (h) in terms of R and r.
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An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall even
when the floor is removed.
R
The coefficient of static friction between the person and the wall is u, = 0.3 and the radius of the drum is R = 2m.
(a) Find wmin, the minimum angular speed at which the drum should rotate such that the person is held up even if the floor is removed. (hint: when the
floor is removed, the person is held up by the static frictional force).
(b) Find the linear speed of the person when the drum is rotating at the minimum angular speed you found in (a)
(c) Suppose that the drum started from rest and reached the speed you found in (a) in 120 seconds. During this time the drum had constant angular
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A round object of mass M and radius R roll down a hill of height h. Calculate the linear speed of the object (in terms of M, g, R and h) when the reach the bottom of the hill.
Chapter 9 Solutions
Physics for Scientists and Engineers
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