Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
9th Edition
ISBN: 9781305266292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 10, Problem 7OQ
To determine
The case in which the reel has greater magnitude of
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In a popular amusement park ride, a rotating cylinder of radius 3.00 m is set in rotation at an angular speed of 5.00 rad/s, as in Figure P7.75. The floor then drops away, leaving the riders suspended against the wall in a vertical position. What minimum coefficient of friction between a rider’s clothing and the wall is needed to keep the rider from slipping? Hint: Recall that the magnitude of the maximum force of static friction is equal to μsn, where n is the normal force—in this case, the force causing the centripetal acceleration.
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Chapter 10 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
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. 10.4QQCh. 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. 1OQCh. 10 - Consider an object on a rotating disk a distance r...Ch. 10 - Prob. 3OQ
Ch. 10 - Prob. 4OQCh. 10 - Suppose a cars standard tires are replaced with...Ch. 10 - Figure OQ10.6 shows a system of four particles...Ch. 10 - Prob. 7OQCh. 10 - Prob. 8OQCh. 10 - Prob. 9OQCh. 10 - Prob. 10OQCh. 10 - A solid aluminum sphere of radius R has moment of...Ch. 10 - Prob. 1CQCh. 10 - Prob. 2CQCh. 10 - Prob. 3CQCh. 10 - Prob. 4CQCh. 10 - Prob. 5CQCh. 10 - Prob. 6CQCh. 10 - Prob. 7CQCh. 10 - Prob. 8CQCh. 10 - (a) What is the angular speed of the second hand...Ch. 10 - Prob. 10CQCh. 10 - Prob. 11CQCh. 10 - Prob. 12CQCh. 10 - Three objects of uniform densitya solid sphere, a...Ch. 10 - Which of the entries in Table 10.2 applies to...Ch. 10 - Prob. 15CQCh. 10 - Prob. 16CQCh. 10 - (a) Find the angular speed of the Earths rotation...Ch. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 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. 6PCh. 10 - Prob. 7PCh. 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. 11PCh. 10 - The tub of a washer goes into its spin cycle,...Ch. 10 - Prob. 13PCh. 10 - Review. Consider a tall building located on the...Ch. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 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. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Prob. 25PCh. 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. 28PCh. 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. 31PCh. 10 - Review. A block of mass m1 = 2.00 kg and a block...Ch. 10 - Prob. 33PCh. 10 - Prob. 34PCh. 10 - Prob. 35PCh. 10 - Prob. 36PCh. 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. 39PCh. 10 - Two balls with masses M and m are connected by a...Ch. 10 - Prob. 41PCh. 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. 45PCh. 10 - Prob. 46PCh. 10 - A war-wolf or trebuchet is a device used during...Ch. 10 - Prob. 48PCh. 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. 52PCh. 10 - Prob. 53PCh. 10 - Prob. 54PCh. 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. 58PCh. 10 - Prob. 59PCh. 10 - Prob. 60PCh. 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. 63PCh. 10 - A tennis ball is a hollow sphere with a thin wall....Ch. 10 - Prob. 65PCh. 10 - Prob. 66APCh. 10 - Prob. 67APCh. 10 - Prob. 68APCh. 10 - Prob. 69APCh. 10 - Prob. 70APCh. 10 - Review. A mixing beater consists of three thin...Ch. 10 - Prob. 72APCh. 10 - Prob. 73APCh. 10 - Prob. 74APCh. 10 - Prob. 75APCh. 10 - Prob. 76APCh. 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. 79APCh. 10 - Prob. 80APCh. 10 - Prob. 81APCh. 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. 84APCh. 10 - Prob. 85APCh. 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. 88CPCh. 10 - Prob. 89CPCh. 10 - Prob. 90CPCh. 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. 93CPCh. 10 - A uniform, hollow, cylindrical spool has inside...
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- Why is the following situation impossible? A space station shaped like a giant wheel has a radius of r = 100 m and a moment of inertia of 5.00 108 kg m2. A crew of 150 people of average mass 65.0 kg is living on the rim, and the stations rotation causes the crew to experience an apparent free-fall acceleration of g (Fig. P10.52). A research technician is assigned to perform an experiment in which a ball is dropped at the rim of the station every 15 minutes and the time interval for the ball to drop a given distance is measured as a test to make sure the apparent value of g is correctly maintained. One evening, 100 average people move to the center of the station for a union meeting. The research technician, who has already been performing his experiment for an hour before the meeting, is disappointed that he cannot attend the meeting, and his mood sours even further by his boring experiment in which every time interval for the dropped ball is identical for the entire evening.arrow_forwardA student sits on a freely rotating stool holding two dumbbells, each of mass 3.00 kg (Fig. P10.56). When his arms are extended horizontally (Fig. P10.56a), the dumbbells are 1.00 m from the axis of rotation and the student rotates with an angular speed of 0.750 rad/s. The moment of inertia of the student plus stool is 3.00 kg m2 and is assumed to be constant. The student pulls the dumbbells inward horizontally to a position 0.300 m from the rotation axis (Fig. P10.56b). (a) Find the new angular speed of the student. (b) Find the kinetic energy of the rotating system before and after he pulls the dumbbells inward. Figure P10.56arrow_forwardIn testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m from the center. He then mountsthe tire in a vertical plane and notes that the radius vector to thespot is at an angle of 35.0 with the horizontal. Starting from rest,the tire is spun rapidly with a constant angular acceleration of 3.00 rad/s2. a. What is the angular speed of the wheel after 4.00 s? b. What is the tangential speed of the spot after 4.00 s? c. What is the magnitude of the total accleration of the spot after 4.00 s?" d. What is the angular position of the spot after 4.00 s?arrow_forward
- A space station is constructed in the shape of a hollow ring of mass 5.00 104 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 100 m. At rest when constructed, the ring is set rotating about its axis so that the people inside experience an effective free-fall acceleration equal to g. (See Fig. P10.52.) The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring. (a) What angular momentum does the space station acquire? (b) For what time interval must the rockets be fired if each exerts a thrust of 125 N? Figure P10.52 Problems 52 and 54.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_forwardA disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine (a) its angular speed in radians per second, (b) the tangential speed at a point 3.00 cm from its center, (c) the radial acceleration of a point on the rim, and (d) the total distance a point on the rim moves in 2.00 s.arrow_forward
- Why is the following situation impossible? A space station shaped like a giant wheel (Fig. P11.28, page 306) has a radius of r = 100 m and a moment of inertia of 5.00 108 kg m2. A crew of 150 people of average mass 65.0 kg is living on the rim, and the stations rotation causes the crew to experience an apparent free-fall acceleration of g. A research technician is assigned to perform an experiment in which a ball is dropped at the rim of the station every 15 minutes and the time interval for the ball to drop a given distance is measured as a lest to make sure the apparent value of g is correctly maintained. One evening, 100 average people move to the center of the station for a union meeting. The research technician, who has already been performing his experiment for an hour before the meeting, is disappointed that he cannot attend the meeting, and his mood sours even further by his boring experiment in which every time interval for the dropped ball is identical for the entire evening. Figure P11.28arrow_forwardFigure P10.82 shows a vertical force applied tangentially to a uniform cylinder of weight Fg. The coefficient of static friction between the cylinder and all surfaces is 0.500. The force P is increased in magnitude until the cylinder begins to rotate. In terms of Fg, find the maximum force magnitude P that can be applied without causing the cylinder to rotate. Suggestion: Show that both friction forces will be at their maximum values when the cylinder is on the verge of slipping. Figure P10.82arrow_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_forward
- The propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is in rad/s2 and t isin seconds. What is the angle in radians through which thepropeller rotates from t = 1.00 s to t = 6.00 s?arrow_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_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_forward
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