College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 10, Problem 28TP
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A method of using simple equipments such as balls and string to study the change in
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Chapter 10 Solutions
College Physics
Ch. 10 - Analogies exist between rotational and...Ch. 10 - Explain why centripetal acceleration changes the...Ch. 10 - In circular motion, a tangential acceleration can...Ch. 10 - Suppose a Piece of food is on the edge of a...Ch. 10 - The moment of inertia of a long rod spun around an...Ch. 10 - Why is the moment of inertia of a hoop that has a...Ch. 10 - Give an example in which anal forte exerts a large...Ch. 10 - While reducing the mass of a racing bike, the...Ch. 10 - A ball slides up a frictionless ramp. It is then...Ch. 10 - Describe the energy transformations involved when...
Ch. 10 - What energy transformations are involved when a...Ch. 10 - The Earth has more rotational kinetic energy now...Ch. 10 - When you start the engine of your car with the...Ch. 10 - Suppose a child walks from the outer edge of a...Ch. 10 - Suppose a child gets off a rotating...Ch. 10 - Helicopters have a small propeller on their tail...Ch. 10 - Whenever a helicopter has two sets of lifting...Ch. 10 - Describe how work is done by a skater pulling in...Ch. 10 - When there is a global heating trend on Earth, the...Ch. 10 - Nearly all conventional piston engines have...Ch. 10 - Jet turbines spin rapidly. They are designed to...Ch. 10 - An astronaut tightens a bolt on a satellite in...Ch. 10 - Competitive divers pull their limbs in and curl up...Ch. 10 - Draw a free body diagram to show how a diver gains...Ch. 10 - In terms of angular momentum, what is the...Ch. 10 - Describe different collisions—one in in which...Ch. 10 - Suppose an ice hockey puck strikes a hockey stick...Ch. 10 - While driving his motorcycle at highway speed, a...Ch. 10 - While driving his motorcycle at highway speed, a...Ch. 10 - Gyroscopes used in guidance systems to indicate...Ch. 10 - At its peak, a tornado is 60.0 m in diameter and...Ch. 10 - Integrated Concepts An ultracentrifuge accelerates...Ch. 10 - Integrated Concepts You have a grindstone (a disk)...Ch. 10 - Unreasonable Results You are told that a...Ch. 10 - With the aid of a string, a gyroscope is...Ch. 10 - Suppose a piece of dust finds itself on a CD. If...Ch. 10 - A gyroscope slows from an initial rate of 32.0...Ch. 10 - During a very quick stop, a car decelerates at...Ch. 10 - Everyday application: Suppose a yo-yo has a center...Ch. 10 - This problem considers additional aspects of...Ch. 10 - Calculate the moment of inertia of a skater given...Ch. 10 - The triceps muscle in the back of the upper arm...Ch. 10 - A soccer player extends her lower leg in a kicking...Ch. 10 - Suppose you exert a force of 180 N tangential to a...Ch. 10 - Consider the 12.0 kg motorcycle wheel shown in...Ch. 10 - Zorch, an archenemy of Superman, decides to slow...Ch. 10 - An automobile engine can produce 200 N m of...Ch. 10 - Starting with the formula for the moment of...Ch. 10 - Unreasonable Results A gymnast doing a forward...Ch. 10 - Unreasonable Results An advertisement claims that...Ch. 10 - This problem considers energy and work aspects of...Ch. 10 - What is the final velocity of a hoop that rolls...Ch. 10 - (a) Calculate the rotational kinetic energy of...Ch. 10 - Calculate the rotational kinetic energy in the...Ch. 10 - A baseball pitcher throws the ball in a motion...Ch. 10 - While punting a football, a kicker rotates his leg...Ch. 10 - A bus contains a 1500 kg flywheel (a disk that has...Ch. 10 - A ball with an initial velocity of 8.00 m/s rolls...Ch. 10 - While exercising in a fitness center, a man lies...Ch. 10 - To develop muscle tone, a woman lifts a 2.00-kg...Ch. 10 - Consider two cylinders that start down identical...Ch. 10 - What is the moment of inertia of an object that...Ch. 10 - Suppose a 200-kg motorcycle has two wheels like,...Ch. 10 - In softball, the pitcher throws with the arm fully...Ch. 10 - Construct Your Own Problem Consider the work done...Ch. 10 - (a) Calculate the angular momentum of the Earth in...Ch. 10 - (a) What is the angular momentum of the Moon in...Ch. 10 - Suppose you start an antique car by exerting a...Ch. 10 - A playground merry-go-round has a mass of 120 kg...Ch. 10 - Three children are riding on the edge of a...Ch. 10 - (a) Calculate the angular momentum of an ice...Ch. 10 - Consider the Earth-Moon system. Construct a...Ch. 10 - Repeat Example 10.15 in which the disk strikes and...Ch. 10 - Repeat Example 10.15 in which the disk originally...Ch. 10 - Twin skaters approach one another as shown in...Ch. 10 - Suppose a 0.250-kg ball is thrown at 15.0 m/s to a...Ch. 10 - Repeat Example 10.15 in which the stick is free to...Ch. 10 - Integrated Concepts The axis of Earth makes a...Ch. 10 - Prob. 1TPCh. 10 - Prob. 2TPCh. 10 - Prob. 3TPCh. 10 - Prob. 4TPCh. 10 - Prob. 5TPCh. 10 - Prob. 6TPCh. 10 - Prob. 7TPCh. 10 - Prob. 8TPCh. 10 - Prob. 9TPCh. 10 - Prob. 10TPCh. 10 - Prob. 11TPCh. 10 - Prob. 12TPCh. 10 - Prob. 13TPCh. 10 - Prob. 14TPCh. 10 - Prob. 15TPCh. 10 - Prob. 16TPCh. 10 - Prob. 17TPCh. 10 - Prob. 18TPCh. 10 - Prob. 19TPCh. 10 - Prob. 20TPCh. 10 - Prob. 21TPCh. 10 - Prob. 22TPCh. 10 - Prob. 23TPCh. 10 - Prob. 24TPCh. 10 - Prob. 25TPCh. 10 - Prob. 26TPCh. 10 - Prob. 27TPCh. 10 - Prob. 28TPCh. 10 - Prob. 29TPCh. 10 - Prob. 30TP
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- Two astronauts (Fig. P10.67), each having a mass M, are connected by a rope of length d having negligible mass. They are isolated in space, orbiting their center of mass at speeds v. 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 of the astronauts shortens the distance between them to d/2. (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_forwardThe velocity of a particle of mass m = 2.00 kg is given by v= 5.10 + 2.40 m /s. What is the angular momentumof the particle around the origin when it is located atr= 8.60 3.70 m?arrow_forwardTwo 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_forward
- A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through its center of mass. Find the magnitude of therods angular momentum.arrow_forwardA thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through one of its ends. Find the magnitude of the rodsangular momentum.arrow_forwardA long, thin rod of mass m = 5.00 kg and length = 1.20 m rotates around an axis perpendicular to the rod with an angularspeed of 3.00 rad/s. a. What is the angular momentum of therod if the axis passes through the rods midpoint? b. What is theangular momentum of the rod if the axis passes through a pointhalfway between its midpoint and its end?arrow_forward
- A wad of sticky clay with mass m and velocity vi is fired at a solid cylinder of mass M and radius R (Fig. P10.75). The cylinder is initially at rest and is mounted on a fixed horizontal axle that runs through its center of mass. The line of motion of the projectile is perpendicular to the axle and at a distance d R from the center. (a) Find the angular speed of the system just after the clay strikes and sticks to the surface of the cylinder. (b) Is the mechanical energy of the claycylinder system constant in this process? Explain your answer. (c) Is the momentum of the claycylinder system constant in this process? Explain your answer. Figure P10.75arrow_forwardA satellite is spinning at 6.0 rev/s. The satellite consists of a main body in the shape of a sphere of radius 2.0 m and mass 10,000 kg, and two antennas projecting out from the center of mass of the main body that can be approximated with rods of length 3.0 m each and mass 10 kg. The antenna’s lie in the plane of rotation. What is the angular momentum of the satellite?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
- A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis through its center at 600 rev/min. A second solid cylinder of the same mass and radius is rotating clockwise around the same vertical axis at 900 rev/min. If the cylinders couple so that they rotate about the same vertical axis, what is the angular velocity of the combination?arrow_forwardA uniform disk of mass m = 10.0 kg and radius r = 34.0 cm mounted on a frictionlessaxle through its center, and initially at rest, isacted upon by two tangential forces of equalmagnitude F, acting on opposite sides of itsrim until a point on the rim experiences acentripetal acceleration of 4.00 m/s2 (Fig.P13.73). a. What is the angular momentumof the disk at this time? b. If F = 2.00 N, howlong do the forces have to be applied to thedisk to achieve this centripetal acceleration? FIGURE P13.73arrow_forwardIf the torque acting on a particle about an axis through a certain origin is zero, what can you say about its angular momentum about that axis?arrow_forward
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