Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 10, Problem 30P
To determine
The reason why the given situation is impossible.
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A carousel has a radius of 1.60 m and a moment of inertia of
130 kg · m2.
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The answer is NOT 1.21m
Consider a bowling ball which is tossed down a bowling alley. For this problem, we will consider the bowling ball to be a uniform sphere of mass M and radius R, with a moment of inertia given by I = (2/5)MR2. The moment the ball hits the ground (t = 0), it is moving horizontally with initial linear speed v0, but not rotating (ω0 = 0). Due to kinetic friction between the ground and the ball, it begins to rotate as it slides. The coefficient of kinetic friction is µk. As the ball slides along the lane, its angular speed steadily increases. At some point (time tc), the “no-slip” condition kicks in, so that ω = v/R. After this, the ball moves with a constant linear and angular speed. Solve all parts of this problem symbolically.
Use the rotational version of Newton’s second law to find an expression for the angular acceleration of the ball along the z-direction before the no-slip condition kicks in, αz. Your final expression should only involve the variables R, g, and µ
Consider a bowling ball which is tossed down a bowling alley. For this problem, we will consider the bowling ball to be a uniform sphere of mass M and radius R, with a moment of inertia given by I = (2/5)MR2. The moment the ball hits the ground (t = 0), it is moving horizontally with initial linear speed v0, but not rotating (ω0 = 0). Due to kinetic friction between the ground and the ball, it begins to rotate as it slides. The coefficient of kinetic friction is µk. As the ball slides along the lane, its angular speed steadily increases. At some point (time tc), the“no-slip” condition kicks in, so that ω = v/R. After this, the ball moves with a constant linear and
angular speed. Solve all parts of this problem symbolically.
1. Use Newton’s second law to find an expression for the linear acceleration of the ball along the x-direction before the no-slip condition kicks in, ax. The free body diagram of the ball is shown below. Your final expression should only involve the variables g…
Chapter 10 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 10.1 - A rigid object rotates in a counterclockwise sense...Ch. 10.2 - Consider again the pairs of angular positions for...Ch. 10.3 - Ethan and Rebecca are riding on a merry-go-round....Ch. 10.4 - If you are trying to loosen a stubborn screw from...Ch. 10.5 - You turn off your electric drill and find that the...Ch. 10.7 - A section of hollow pipe and a solid cylinder have...Ch. 10.9 - A ball rolls without slipping down incline A,...Ch. 10 - (a) Find the angular speed of the Earths rotation...Ch. 10 - A bar on a hinge starts from rest and rotates with...Ch. 10 - A wheel starts from rest and rotates with constant...
Ch. 10 - A machine part rotates at an angular speed of...Ch. 10 - A dentists drill starts from rest. After 3.20 s of...Ch. 10 - Why is the following situation impossible?...Ch. 10 - Review. Consider a tall building located on the...Ch. 10 - Prob. 8PCh. 10 - A discus thrower (Fig. P10.9) accelerates a discus...Ch. 10 - Prob. 10PCh. 10 - A car accelerates uniformly from rest and reaches...Ch. 10 - Review. A small object with mass 4.00 kg moves...Ch. 10 - Prob. 13PCh. 10 - Find the net torque on the wheel in Figure P10.14...Ch. 10 - A grinding wheel is in the form of a uniform solid...Ch. 10 - Review. A block of mass m1 = 2.00 kg and a block...Ch. 10 - Prob. 17PCh. 10 - Prob. 18PCh. 10 - Your grandmother enjoys creating pottery as a...Ch. 10 - Prob. 20PCh. 10 - You have just bought a new bicycle. On your first...Ch. 10 - Imagine that you stand tall and turn about a...Ch. 10 - Following the procedure used in Example 10.7,...Ch. 10 - Two balls with masses M and m are connected by a...Ch. 10 - Rigid rods of negligible mass lying along the y...Ch. 10 - A war-wolf or trebuchet is a device used during...Ch. 10 - Big Ben, the nickname for the clock in Elizabeth...Ch. 10 - Consider two objects with m1 m2 connected by a...Ch. 10 - Review. An object with a mass of m = 5.10 kg is...Ch. 10 - Prob. 30PCh. 10 - A uniform solid disk of radius R and mass M is...Ch. 10 - This problem describes one experimental method for...Ch. 10 - A tennis ball is a hollow sphere with a thin wall....Ch. 10 - A smooth cube of mass m and edge length r slides...Ch. 10 - Prob. 35PCh. 10 - Prob. 36APCh. 10 - Prob. 37APCh. 10 - Prob. 38APCh. 10 - Prob. 39APCh. 10 - Prob. 40APCh. 10 - Review. A string is wound around a uniform disk of...Ch. 10 - Review. A spool of wire of mass M and radius R is...Ch. 10 - Review. A clown balances a small spherical grape...Ch. 10 - Prob. 44CPCh. 10 - A spool of thread consists of a cylinder of radius...Ch. 10 - Prob. 46CPCh. 10 - A uniform, hollow, cylindrical spool has inside...Ch. 10 - A cord is wrapped around a pulley that is shaped...
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