College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 10, Problem 12TP
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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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- (a) Calculate the angular momentum of Earth in its orbit around the Sun. (b) Compare this angular momentum with the angular momentum of Earth about its axis.arrow_forwardA uniform cylindrical grinding wheel of mass 50.0 kg and diameter 1.0 m is turned on by an electric motor. The friction in the bearings is negligible. (a) What torque must be applied to the wheel to bring it from rest to 120 rev/min in 20 revolutions? (b) A tool whose coefficent of kinetic friction with the wheel with a force of 40.0 N. What torque must be supplied by the motor to keep the wheel rotating at a constant angular velocity?arrow_forwardThe axis of Earth makes a 23.5 angle with a direction perpendicular to the plane of Earth’s orbit. As shown below, this axis precesses, making one complete rotation in 25,780 y. (a) Calculate the change in angular momentum in half this time. (b) What is the average torque producing this change in angular momentum? (c) If this torque were created by a pair of forces acting at the most effective point on the equator, what would the magnitude of each force be?arrow_forward
- A projectile of mass m moves to the right with a speed i (Fig. P11.51a). The projectile strikes and sticks to the end of a stationary rod of mass M, length d. pivoted about a frictionless axle perpendicular to the page through O (Fig. PH.51b). We wish to find the fractional change of kinetic energy in the system due to the collision, (a) What is the appropriate analysis model to describe the projectile and the rod? (b) What is the angular momentum of the system before the collision about an axis through O? (c) What is the moment of inertia of the system about an axis through O after the projectile sticks to the rod? (d) If the angular speed of the system after the collision is . what is the angular momentum of the system after the collision? (e) Find the angular speed to after the collision in terms of the given quantities. (f) What is the kinetic energy of the system before the collision? (g) What is the kinetic energy of the system after the collision? (h) Determine the fractional change of kinetic energy due to the collision.arrow_forwardA ball having mass m is fastened at the end of a flagpole that is connected to the side of a tall building at point P as shown in Figure P11.15. The length of the flagpole is , and it makes an angle with the x axis. The ball becomes loose and starts to fall with acceleration gj. (a) Determine the angular momentum of the ball about point P as a function of time. (b) For what physical reason does the angular momentum change? (c) What is the rate of change of the angular momentum of the ball about point P? Figure P11.15arrow_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
- An electric sander consisting of a rotating disk of mass 0.7 kg and radius 10 cm rotates at 15 rev/sec. When applied to a rough wooden wall the rotation rate decreases by 20 . (a) What is the final rotational kinetic energy of the rotating disk? (a) How much has its rotational kinetic energy decreased?arrow_forwardProblems 62 and 63 are paired. 62. C A disk is rotating around a fixed axis that passes through its center and is perpendicular to the face of the disk. Consider a point on the rim of the disk (point R) and another point halfway between the center and the rim (point H) at one particular instant. a. How does the angular speed v of the disk at point H compare with the angular speed of the disk at point R? b. How does the tangential speed of the disk at point H compare with the tangential speed of the disk at point R? c. Suppose we pick a point H on the disk at random (by throwing a dart, for example), and we compare the speeds at that point with the speeds at point R. How will the answers to parts (a) and (b) be different? Explain.arrow_forwardA system of point particles is rotating about a fixed axis at 4 rev/s. The particles are fixed with respect to each other. The masses and distances to the axis of the point particles are m1=0.1kg , r1=0.2m , m2=0.05kg , r2=0.4m , m3=0.5kg , r3=0.01m . (a) What is the moment of inertia of the system? (b) What is the rotational kinetic energy of the system?arrow_forward
- A system of point particles is shown in the following figure. Each particle has mass 0.3 kg and they all lie in the same place. (a) What is the moment of inertia of the system about the given axis? (b) If the system rotates at 5 rev/s, what is its rotational kinetic energy?arrow_forwardThe angular position of a rod varies as 20.0t2radians from time t=0 . The rod has two beads on it as shown in the following figure, one at 10 cm from the ratation axis and the other at 20 cm from the rotation axis. (a) What is the instantaneous angular velocity of the rod at t=5s ? (b) What is the angular acceleration of the rod? (c) What are the tangential speeds of the beads at t=5s ? (d) What are the tangential acceleration of the beads at t=5s ? (e) What are the centripetal accelerations of the beads at t=5s ?arrow_forwardA projectile of mass m moves to the right with a speed vi (Fig. P10.81a). The projectile strikes and sticks to the end of a stationary rod of mass M, length d, pivoted about a frictionless axle perpendicular to the page through O (Fig. P10.81b). We wish to find the fractional change of kinetic energy in the system due to the collision. (a) What is the appropriate analysis model to describe the projectile and the rod? (b) What is the angular momentum of the system before the collision about an axis through O? (c) What is the moment of inertia of the system about an axis through O after the projectile sticks to the rod? (d) If the angular speed of the system after the collision is , what is the angular momentum of the system after the collision? (e) Find the angular speed after the collision in terms of the given quantities. (f) What is the kinetic energy of the system before the collision? (g) What is the kinetic energy of the system after the collision? (h) Determine the fractional change of kinetic energy due to the collision. Figure P10.81arrow_forward
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