Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 10, Problem 42P
(a)
To determine
To Calculate: The net torque exerted by these internal forces about the origin O.
(b)
To determine
To explain:The reason that it is important to add the last phrase.
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Assuming that the gravitational acceleration inside a
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IIISuppose a large spherical object, such as a planet, with radius R and mass M has a narrow tunnel passing diametrically through it. A particle of mass m is inside the tunnel at a distance x less than or equal to R from thecenter. It can be shown that the net gravitational force on the particlei sdue entirely to the sphere of mass with radius r ≤ ;x there is no netgravitational force from the mass in the spherical shell with r > .x a. Find an expression for the gravitational force on the particle,assuming the object has uniform density. Your expression willbe in terms of ,x R, m, M, and any necessary constants.b. You should have found that the gravitational force is a linear restoring force. Consequently, in the absence ofair resistance, objects in the tunnel will oscillate with SHM. Suppose an in- trepid astronaut exploring a 150-km-diameter, 3.5 X 1 0 kgasteroid discovers a tunnel through the center. If she jumps into the hole, how long will ti take her to fall all the way…
10-13. Refer to Example 10.3 concerning the deflection from the plumb line of a particle
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to
Chapter 10 Solutions
Physics for Scientists and Engineers
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