Explanation Calculate the moment of inertia for the merry-go-round. Write the equation for moment of inertia of merry go round. I = 1 2 m r 2 (I) Here, I is moment of inertia, m is mass of merry go round and r is radius of merry go round. Write the expression for torque. τ = I α Here, α is angular acceleration and τ is torque. Simplify the above equation for I . I = τ α (II) Write the expression for torque in terms of force and displacement. τ = F r (III) Here, F is force. Substitute F r for τ and 1 2 m r 2 for I in equation (II) 1 2 m r 2 = F r α Simplify and solve the above equation for angular acceleration. α = 2 F m r Write the expression for final angular velocity. ω f = ω i + α t (IV) Here, ω i is initial angular velocity and ω f is the final angular velocity and t is time. Substitute 2 F m r for α in equation (IV). ω f = ω i + ( 2 F m r ) t Write the expression for kinetic energy of the disk. K = 1 2 I ω f 2 (V) Here, K is rotational kinetic energy

Physics for Scientists and Engineers with Modern Physics, Technology Update

9th Edition

ISBN: 9781305401969

Author: SERWAY, Raymond A.; Jewett, John W.

Publisher: Cengage Learning

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Chapter 10, Problem 48P

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Chapter 10, Problem 47P

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Chapter 10 Solutions

Physics for Scientists and Engineers with Modern Physics, Technology Update

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 - Prob. 10.4QQ 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 - Prob. 1OQ Ch. 10 - Consider an object on a rotating disk a distance r...Ch. 10 - Prob. 3OQ

Ch. 10 - Prob. 4OQ Ch. 10 - Suppose a cars standard tires are replaced with...Ch. 10 - Figure OQ10.6 shows a system of four particles...Ch. 10 - Prob. 7OQ Ch. 10 - Prob. 8OQ Ch. 10 - Prob. 9OQ Ch. 10 - Prob. 10OQ Ch. 10 - A solid aluminum sphere of radius R has moment of...Ch. 10 - Prob. 1CQ Ch. 10 - Prob. 2CQ Ch. 10 - Prob. 3CQ Ch. 10 - Prob. 4CQ Ch. 10 - Prob. 5CQ Ch. 10 - Prob. 6CQ Ch. 10 - Prob. 7CQ Ch. 10 - Prob. 8CQ Ch. 10 - (a) What is the angular speed of the second hand...Ch. 10 - Prob. 10CQ Ch. 10 - Prob. 11CQ Ch. 10 - Prob. 12CQ Ch. 10 - Three objects of uniform densitya solid sphere, a...Ch. 10 - Which of the entries in Table 10.2 applies to...Ch. 10 - Prob. 15CQ Ch. 10 - Prob. 16CQ Ch. 10 - (a) Find the angular speed of the Earths rotation...Ch. 10 - Prob. 2P Ch. 10 - Prob. 3P 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 - Prob. 6P Ch. 10 - Prob. 7P 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 - Prob. 11P Ch. 10 - The tub of a washer goes into its spin cycle,...Ch. 10 - Prob. 13P Ch. 10 - Review. Consider a tall building located on the...Ch. 10 - Prob. 15P Ch. 10 - Prob. 16P Ch. 10 - A discus thrower (Fig. P10.9) accelerates a discus...Ch. 10 - Figure P10.18 shows the drive train of a bicycle...Ch. 10 - A wheel 2.00 m in diameter lies in a vertical...Ch. 10 - A car accelerates uniformly from rest and reaches...Ch. 10 - Prob. 21P Ch. 10 - Prob. 22P Ch. 10 - Prob. 23P Ch. 10 - Prob. 24P Ch. 10 - Prob. 25P Ch. 10 - Review. A small object with mass 4.00 kg moves...Ch. 10 - Find the net torque on the wheel in Figure P10.14...Ch. 10 - Prob. 28P Ch. 10 - An electric motor turns a flywheel through a drive...Ch. 10 - A grinding wheel is in the form of a uniform solid...Ch. 10 - Prob. 31P Ch. 10 - Review. A block of mass m1 = 2.00 kg and a block...Ch. 10 - Prob. 33P Ch. 10 - Prob. 34P Ch. 10 - Prob. 35P Ch. 10 - Prob. 36P Ch. 10 - A potters wheela thick stone disk of radius 0.500...Ch. 10 - Imagine that you stand tall and turn about a...Ch. 10 - Prob. 39P Ch. 10 - Two balls with masses M and m are connected by a...Ch. 10 - Prob. 41P Ch. 10 - Following the procedure used in Example 10.7,...Ch. 10 - Three identical thin rods, each of length L and...Ch. 10 - Rigid rods of negligible mass lying along the y...Ch. 10 - Prob. 45P Ch. 10 - Prob. 46P Ch. 10 - A war-wolf or trebuchet is a device used during...Ch. 10 - Prob. 48P Ch. 10 - Big Ben, the nickname for the clock in Elizabeth...Ch. 10 - Consider two objects with m1 m2 connected by a...Ch. 10 - The top in Figure P10.51 has a moment of inertia...Ch. 10 - Prob. 52P Ch. 10 - Prob. 53P Ch. 10 - Prob. 54P Ch. 10 - Review. An object with a mass of m = 5.10 kg is...Ch. 10 - This problem describes one experimental method for...Ch. 10 - A uniform solid disk of radius R and mass M is...Ch. 10 - Prob. 58P Ch. 10 - Prob. 59P Ch. 10 - Prob. 60P Ch. 10 - (a) Determine the acceleration of the center of...Ch. 10 - A smooth cube of mass m and edge length r slides...Ch. 10 - Prob. 63P Ch. 10 - A tennis ball is a hollow sphere with a thin wall....Ch. 10 - Prob. 65P Ch. 10 - Prob. 66AP Ch. 10 - Prob. 67AP Ch. 10 - Prob. 68AP Ch. 10 - Prob. 69AP Ch. 10 - Prob. 70AP Ch. 10 - Review. A mixing beater consists of three thin...Ch. 10 - Prob. 72AP Ch. 10 - Prob. 73AP Ch. 10 - Prob. 74AP Ch. 10 - Prob. 75AP Ch. 10 - Prob. 76AP Ch. 10 - Review. As shown in Figure P10.77, two blocks are...Ch. 10 - Review. A string is wound around a uniform disk of...Ch. 10 - Prob. 79AP Ch. 10 - Prob. 80AP Ch. 10 - Prob. 81AP Ch. 10 - Review. A spool of wire of mass M and radius R is...Ch. 10 - A solid sphere of mass m and radius r rolls...Ch. 10 - Prob. 84AP Ch. 10 - Prob. 85AP Ch. 10 - Review. A clown balances a small spherical grape...Ch. 10 - A plank with a mass M = 6.00 kg rests on top of...Ch. 10 - Prob. 88CP Ch. 10 - Prob. 89CP Ch. 10 - Prob. 90CP Ch. 10 - A spool of thread consists of a cylinder of radius...Ch. 10 - A cord is wrapped around a pulley that is shaped...Ch. 10 - Prob. 93CP Ch. 10 - A uniform, hollow, cylindrical spool has inside...

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