Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 9, Problem 14P
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In the assembly below the system can rotate around the vertical axis. The left part is a square where R = 0.1 meters, and the mass of each of the four thin bars is uniform and is 0.1 kg. On the left is a massive sphere of radius R = 0.2 meters and Mass M = 0.3 kg. Assume that the system rotates with constant period T = 2.0 s, when, without any external action, as three leftmost bars detach from the system, leaving only the right vertical bar (on the axis) and sphere . What will be the new period of system revolution?
Note: Note that in this case there is no difference between angular velocity and frequency.
You are the technical consultant for an action-adventure film in which a stunt calls for the hero to drop off a 19-m-tall building and land on the ground safely at a final vertical speed of 5 m/s. At the edge of the building's roof, there is a 100-kg drum that is wound with a sufficiently long rope (of negligible mass), has a radius of 0.4 m, and is free to rotate about its cylindrical axis with a moment of inertia I0. The script calls for the 76-kg stuntman to tie the rope around his waist and walk off the roof.
(a) Determine an expression for the stuntman's linear acceleration in terms of his mass m, the drum's radius r, and moment of inertia I0.
(b) Determine the required value of the stuntman's acceleration if he is to land safely at a speed of 5 m/s.
A thin, hollow sphere of radius
r = 0.520 m
and mass
m = 16.0 kg
turns counterclockwise about a vertical axis through its center (when viewed from above), at an angular speed of 2.90 rad/s. What is its vector angular momentum about this axis? (Enter the magnitude in kg · m2/s.)
(a) magnitude
(b) direction
Chapter 9 Solutions
Physics for Scientists and Engineers
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