Essential University Physics
4th Edition
ISBN: 9780134988559
Author: Wolfson, Richard
Publisher: Pearson Education,
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Chapter 10.5, Problem 10.7GI
The wheels of trains, subway cars, and other rail vehicles include a flange that extends beyond the part of the wheel that rolls on top of the rail, as shown. The flanges keep the train from running off the rails. Consider the bottom-most point on the flange: Is it (a) moving in the direction of the train’s motion; (b) instantaneously at rest; or (c) moving backward, opposite the train’s motion?
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A uniform rod of mass 100 g and length 50.0 cm rotates in a horizontal plane about a fixed, vertical, frictionless pin through its center. Two small beads, each of mass 31.0 g, are mounted on the rod so that they are able to slide without friction along its length. Initially the beads are held by catches at positions 10.0 cm on each side of center: at which time the system rotates at an angular speed of 18.0 rad/s. Suddenly, the catches are released and the small beads slide outward along the rod. (a) Find the angular speed of the system at the instant the beads reach the ends of the rod. rad/s(b) What if the beads fly off the ends? What is the angular speed of the rod after this occurs?
A uniform rod with a mass of 100 g and a length of 50.0 cm rotates in a horizontal plane about a fixed vertical, frictionless pin passing through the center of the rod. Two small beads, each having a mass of 30.0 g, are mounted on the rod so that they are able to slide without friction along its length. Initially, the beads are held by catches at positions 10.0 cm on each side of the rod’s center; at this time, the system rotates at an angular speed of 20.0 rad/s. Suddenly, the catches are released, and the small beads slide outward along the rod. Find (a) the angular speed of the system at the instant the beads reach the end of the rod and (b) the angular speed of the rod after the beads fly off the rod’s ends.
Chapter 10 Solutions
Essential University Physics
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