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 27P
Big Ben, the nickname for the clock in Elizabeth Tower (named after the Queen in 2012) 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. P10.27). 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 P10.27 Problems 27 and 40.
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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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- A 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_forwardA turntable (disk) of radius r = 26.0 cm and rotational inertia0.400 kg m2 rotates with an angular speed of 3.00 rad/s arounda frictionless, vertical axle. A wad of clay of mass m =0.250 kg drops onto and sticks to the edge of the turntable.What is the new angular speed of the turntable?arrow_forwardAn electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a pulley that is rigidly attached to the flywheel as shown in Figure P10.37. The flywheel is a solid disk with a mass of 80.0 kg and a radius R = 0.625 m. It turns on a frictionless axle. Its pulley has much smaller mass and a radius of r = 0.230 m. The tension Tu in the upper (taut) segment of the belt is 135 N, and the flywheel has a clockwise angular acceleration of 1.67 rad/s2. Find the tension in the lower (slack) segment of the belt. Figure P10.37arrow_forward
- Consider two objects with m1 m2 connected by a light string that passes over a pulley having a moment of inertia of I about its axis of rotation as shown in Figure P10.44. The string does not slip on the pulley or stretch. The pulley turns without friction. The two objects are released from rest separated by a vertical distance 2h. (a) Use the principle of conservation of energy to find the translational speeds of the objects as they pass each other. (b) Find the angular speed of the pulley at this time.arrow_forwardA tennis ball is a hollow sphere with a thin wall. It is set rolling without slipping at 4.03 m/s on a horizontal section of a track as shown in Figure P10.62. It rolls around the inside of a vertical circular loop of radius r = 45.0 cm. As the ball nears the bottom of the loop, the shape of the track deviates from a perfect circle so that the ball leaves the track at a point h = 20.0 cm below the horizontal section. (a) Find the balls speed at the top of the loop. (b) Demonstrate that the ball will not fall from the track at the top of the loop. (c) Find the balls speed as it leaves the track at the bottom. What If? (d) Suppose that static friction between ball and track were negligible so that the ball slid instead of rolling. Would its speed then be higher, lower, or the same at the top of the loop? (e) Explain your answer to part (d). Figure P10.62arrow_forwardA war-wolf, or trebuchet, is a device used during the Middle Ages to throw rocks at castles and now sometimes used to fling large vegetables and pianos as a sport. A simple trebuchet is shown in Figure P10.19. Model it as a stiff rod of negligible mass, 3.00 m long, joining particles of mass m1 = 0.120 kg and m2 = 60.0 kg at its ends. It can turn on a frictionless, horizontal axle perpendicular to the rod and 14.0 cm from the large-mass particle. The operator releases the trebuchet from rest in a horizontal orientation. (a) Find the maximum speed that the small-mass object attains. (b) While the small-mass object is gaining speed, does it move with constant acceleration? (c) Does it move with constant tangential acceleration? (d) Does the trebuchet move with constant angular acceleration? (e) Does it have constant momentum? (f) Does the trebuchetEarth system have constant mechanical energy?arrow_forward
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- 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 one of its ends. Find the magnitude of the rodsangular momentum.arrow_forwardTwo spheres, one hollow and one solid, are rotating with the same angular speed around an axis through their centers. Both spheres have the same mass and radius. Which sphere, if either, has the higher rotational kinetic energy? (a) The hollow I sphere, (b) The solid sphere, (c) They have the same kinetic energy.arrow_forwardA buzzard (m = 9.29 kg) is flying in circular motion with aspeed of 8.44 m/s while viewing its meal below. If the radius ofthe buzzards circular motion is 8.00 m, what is the angularmomentum of the buzzardaround the center of its motion?arrow_forward
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Rotational Kinetic Energy; Author: AK LECTURES;https://www.youtube.com/watch?v=s5P3DGdyimI;License: Standard YouTube License, CC-BY