Physics of Everyday Phenomena
9th Edition
ISBN: 9781260048469
Author: Griffith
Publisher: MCG
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Chapter 8, Problem 28CQ
Is it possible for an ice skater to change his rotational velocity without involving any external torque? Explain.
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Chapter 8 Solutions
Physics of Everyday Phenomena
Ch. 8 - Which units would not be appropriate for...Ch. 8 - Which units would not be appropriate for...Ch. 8 - A coin rolls down an inclined plane, gaining speed...Ch. 8 - The rate of rotation of an object is gradually...Ch. 8 - Is the rotational velocity of a child sitting near...Ch. 8 - Is the linear speed of a child sitting near the...Ch. 8 - If an object has a constant rotational...Ch. 8 - A ball rolls down an inclined plane, gaining speed...Ch. 8 - Which, if either, will produce the greater torque:...Ch. 8 - Which of the forces pictured as acting upon the...
Ch. 8 - The two forces in the diagram have the same...Ch. 8 - Is it possible to balance two objects of different...Ch. 8 - Is it possible for the net force acting on an...Ch. 8 - You are trying to move a large rock using a steel...Ch. 8 - Prob. 15CQCh. 8 - Prob. 16CQCh. 8 - Prob. 17CQCh. 8 - An object is rotating with a constant rotational...Ch. 8 - A tall crate has a higher center of gravity than a...Ch. 8 - Two objects have the same total mass, but object A...Ch. 8 - Is it possible for two objects with the same mass...Ch. 8 - Can you change your rotational inertia about a...Ch. 8 - A solid sphere and a hollow sphere made from...Ch. 8 - Is angular momentum always conserved? Explain.Ch. 8 - A metal rod is rotated first about an axis through...Ch. 8 - A child on a freely rotating merry-go-round moves...Ch. 8 - Moving straight inward, a large child jumps onto a...Ch. 8 - Is it possible for an ice skater to change his...Ch. 8 - Suppose you are rotating a ball attached to a...Ch. 8 - Does the direction of the angular-momentum vector...Ch. 8 - Does the direction of the angular momentum vector...Ch. 8 - Can a yo-yo be made to sleep if the string is tied...Ch. 8 - An ice skater is spinning counterclockwise about a...Ch. 8 - A pencil, balanced vertically on its eraser, falls...Ch. 8 - A top falls over quickly if it is not spinning,...Ch. 8 - When we shift gears on the rear-wheel gear of a...Ch. 8 - In what foot position do we exert maximum torque...Ch. 8 - If we move the chain to a larger sprocket on the...Ch. 8 - Suppose a merry-go-round is rotating at the rate...Ch. 8 - When one of the authors was a teenager, the rate...Ch. 8 - Suppose a disk rotates through eight revolutions...Ch. 8 - The rotational velocity of a merry-go-round...Ch. 8 - A bicycle wheel is rotationally accelerated at the...Ch. 8 - The rotational velocity of a spinning disk...Ch. 8 - Starting from rest, a merry-go-round accelerates...Ch. 8 - A force of 60 N is applied at the end of a wrench...Ch. 8 - A weight of 40 N is located a distance of 8 cm...Ch. 8 - A weight of 8 N is located 12 cm from the fulcrum...Ch. 8 - Two forces are applied to a merry-go-round with a...Ch. 8 - A net torque of 93.5 Nm is applied to a disk with...Ch. 8 - A wheel with a rotational inertia of 8.3 kgm2...Ch. 8 - A torque of 76 Nm producing a counterclockwise...Ch. 8 - Two 0.3-kg masses are located at either end of a...Ch. 8 - A mass of 0.75 kg is located at the end of a very...Ch. 8 - A uniform disk with a mass of 7 kg and a radius of...Ch. 8 - A student, sitting on a stool holds masses in each...Ch. 8 - A merry-go-round in the park has a radius of 1.5 m...Ch. 8 - Prob. 2SPCh. 8 - In the park, several children (having a total mass...Ch. 8 - A student sitting on a stool that is free to...
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- A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?arrow_forwardA disk with moment of inertia I1 rotates about a frictionless, vertical axle with angular speed i. A second disk, this one having moment of inertia I2 and initially not rotating, drops onto the first disk (Fig. P10.50). Because of friction between the surfaces, the two eventually reach the same angular speed f. (a) Calculate f. (b) Calculate the ratio of the final to the initial rotational energy. Figure P10.50arrow_forwardAn automobile engine can produce 200Nm of torque. Calculate the angular acceleration produced if 95.0 of this torque is applied to the drive shaft, axle, and rear wheels of a car, given the following information. The car is suspended so that the wheels can turn freely. Each wheel acts like a 15.0-kg disk that has a 0.180-m radius. The walls of each tire act like a 2.00-kg annular ring that has inside radius of 0.180 m and outside radius of 0.320 m. The tread of each tire acts like a 10.0-kg hoop of radius 0.330 m. The 14.0-kg axle acts like a rod that has a 2.00-cm radius. The 30.0-kg drive shaft acts like a rod that has a 3.20-cm radius.arrow_forward
- Two astronauts (Fig. P10.67), each having a mass of 75.0 kg, are connected by a 10.0-m rope of negligible mass. They are isolated in space, orbiting their center of mass at speeds of 5.00 m/s. Treating the astronauts as particles, calculate (a) the magnitude of the angular momentum of the two-astronaut system and (b) the rotational energy of the system. By pulling on the rope, one astronaut shortens the distance between them to 5.00 m. (c) What is the new angular momentum of the system? (d) What are the astronauts new speeds? (e) What is the new rotational energy of the system? (f) How much chemical potential energy in the body of the astronaut was converted to mechanical energy in the system when he shortened the rope? Figure P10.67 Problems 67 and 68.arrow_forwardA student rides his bicycle at a constant speed of 3.00 m/s along a straight, level road. If the bikes tires each have a radius of 0.350 m, (a) what is the tires angular speed? (See Section 7.3.) (b) What is the net torque on each tire? (See Section 8.5.)arrow_forwardBig Ben (Fig. P10.17), the Parliament tower clock in London, has hour and minute hands with lengths of 2.70 m and 4.50 m and masses of 60.0 kg and 100 kg, respectively. Calculate the total angular momentum of these hands about the center point. (You may model the hands as long, thin rods rotating about one end. Assume the hour and minute hands are rotating at a constant rate of one revolution per 12 hours and 60 minutes, respectively.)arrow_forward
- Big Ben, the Parliament tower clock in London, has an hour hand 2.70 m long with a mass of 60.0 kg and a minute hand 4.50 m long with a mass of 100 kg (Fig. P10.17). Calculate the total rotational kinetic energy of the two hands about the axis of rotation. (You may model the hands as long, thin rods rotated about one end. Assume the hour and minute hands are rotating at a constant rate of one revolution per 12 hours and 60 minutes, respectively.) Figure P10.17 Problems 17, 49, and 66.arrow_forwardConsider an object on a rotating disk a distance r from its center, held in place on the disk by static friction. Which of the following statements is not true concerning this object? (a) If the angular speed is constant, the object must have constant tangential speed. (b) If the angular speed is constant, the object is not accelerated. (c) The object has a tangential acceleration only if the disk has an angular acceleration. (d) If the disk has an angular acceleration, the object has both a centripetal acceleration and a tangential acceleration. (e) The object always has a centripetal acceleration except when the angular speed is zero.arrow_forwardThe hour hand and the minute hand of Big Ben, the Parliament tower clock in London, are 2.70 m and 4.50 m long and have masses of 60.0 kg and 100 kg, respectively (see Fig. P10.17). (a) Determine the total torque due to the weight of these hands about the axis of rotation when the time reads (i) 3:00, (ii) 5:15, (iii) 6:00, (iv) 8:20, and (v) 9:45. (You may model the hands as long, thin, uniform rods.) (b) Determine all times when the total torque about the axis of rotation is zero. Determine the times to the nearest second, solving a transcendental equation numerically.arrow_forward
- A constant net torque is applied to an object. Which one of the following will not be constant? (a) angular acceleration, (b) angular velocity, (c) moment of inertia, or (d) center of gravity.arrow_forwardA solid, uniform disk of radius 0.250 m and mass 55.0 kg rolls down a ramp of length 4.50 m that makes an angle of 15.0 with the horizontal. The disk starts from rest from the top of the ramp. Find (a) the speed of the disks center of mass when it reaches the bottom of the ramp and (b) the angular speed of the disk at the bottom of the ramp.arrow_forwardRigid rods of negligible mass lying along the y axis connect three particles (Fig. P10.18). The system rotates about the x axis with an angular speed of 2.00 rad/s. Find (a) the moment of inertia about the x axis, (b) the total rotational kinetic energy evaluated from 12I2, (c) the tangential speed of each particle, and (d) the total kinetic energy evaluated from 12mivi2. (e) Compare the answers for kinetic energy in parts (b) and (d). Figure P10.18arrow_forward
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Rotational Kinetic Energy; Author: AK LECTURES;https://www.youtube.com/watch?v=s5P3DGdyimI;License: Standard YouTube License, CC-BY