Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 9, Problem 42SP
A box rests at a point 2.0 m from the central vertical axis of a horizontal circular platform that is capable of revolving in the horizontal plane. The coefficient of static friction between box and platform is 0.25. As the rate of rotation of the platform is slowly increased from zero, at what angular speed will the box begin to slide?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A common carnival ride, called a gravitron, is a large cylinder in which people stand against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers and the people are surprised that they don't slide down. Suppose the radius of the cylinder is r = 15 m, and the friction between the wall and their clothes is μs = 0.54. Consider the tangential speed v of the ride's occupants as the cylinder spins. 1.) what is the minimum speed in m/s that the cylinder must make a person move at to ensure they will stick to the wall? 2.) what is the frequency in revolutions per minute of the carnival ride when it has reached the minimum speed to stick someone to the wall?
A common carnival ride, called a gravitron, is a large cylinder in which people stand against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers and the people are surprised that they don't slide down. Suppose the radius of the cylinder is r = 11 m, and the friction between the wall and their clothes is ÎĽs = 0.55. Consider the tangential speed v of the ride's occupants as the cylinder spins.Â
a. What is the frequency f in revolutions per minute of the carnival ride when it has reached the minimum speed to "stick" someone to the wall?
A common carnival ride, called a gravitron, is a large cylinder in which people stand against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers and the people are surprised that they don't slide down. Suppose the radius of the cylinder is r = 13 m, and the friction between the wall and their clothes is μs = 0.64. Consider the tangential speed v of the ride's occupants as the cylinder spins.Â
(a) What is the minimum speed, in meters per second, that the cylinder must make a person move at to ensure they will "stick" to the wall? Â
(b) What is the frequency f in revolutions per minute of the carnival ride when it has reached the minimum speed to "stick" someone to the wall?
Chapter 9 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 9 - 17. A wheel spins around exactly 6 times. How many...Ch. 9 - 18. Given that a disk revolves through 81.681...Ch. 9 - 19. Convert (a) 50.0 rev to radians, (b) 48π rad...Ch. 9 - 20. Express 40.0 deg/s in (a) rev/s, (b) rev/min,...Ch. 9 - 21. A 2.00-m-long steel rod, pivoted at one end,...Ch. 9 - 22. A pendulum swings through an angle of 20.0°,...Ch. 9 - 23. A pebble is stuck in the tread of a tire...Ch. 9 - 24. A sphere rotates about a fixed axis 10.0 times...Ch. 9 - 25. A flywheel turns at 480 rpm. Compute the...Ch. 9 - 26. It is desired that the outer edge of a...
Ch. 9 - 27. Through how many radians does a point fixed on...Ch. 9 - 28. A wheel 25.0 cm in radius turning at 120 rpm...Ch. 9 - 29. The angular speed of a disk decreases...Ch. 9 - 30. A car wheel 30 cm in radius is turning at a...Ch. 9 - 31. A wheel revolving at 6.00 rev/s has an angular...Ch. 9 - 32. A thin string wound on the rim of a wheel 20...Ch. 9 - 9.33 [II] A mass of 1.5 kg out in space moves in a...Ch. 9 - 34. (a) Compute the radial acceleration of a point...Ch. 9 - 35. A mass is whirling in a circle at the end of a...Ch. 9 - 36. A mass is whirling in a circle at the end of a...Ch. 9 - 37. Imagine a weightless 2.00-kg mass far out in...Ch. 9 - 38. The old Bohr model of the hydrogen atom has a...Ch. 9 - 39. With the previous problem in mind, what is the...Ch. 9 - Prob. 40SPCh. 9 - 41. A car moving at 5.0 m/s tries to round a...Ch. 9 - 42. A box rests at a point 2.0 m from the central...Ch. 9 - 43. A stone rests in a pail which is tied to a...Ch. 9 - Prob. 44SPCh. 9 - 45. Refer back to Fig. 9-6. How large must h be...Ch. 9 - 46. If, in Fig. 9-6 and in Problem 9.33, h = 2.5R,...Ch. 9 - 47. A satellite orbits the Earth at a height of...Ch. 9 - 49. The human body can safely tolerate a vertical...Ch. 9 - 50. A 60.0-kg pilot in a glider traveling at 40.0...Ch. 9 - 51. Suppose the Earth is a perfect sphere with R =...Ch. 9 - 9.52 [III] A mass m hangs at the end of a pendulum...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- In 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_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_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_forward
- During a certain time interval, the angular position of a swinging door is described by = 5.00 + 10.0t + 2.00t2, where is in radians and t is in seconds. Determine the angular position, angular speed, and angular acceleration of the door (a) at t = 0 and (b) at t = 3.00 s.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_forwardAn ultracentrifuge accelerates from to 100,000 rpm in 2.00 min. (a) What is the average angular acceleration in rad/s2 ? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the centripetal acceleration in m/s2 and multiples of g of this point at full rpm? (d) What is the total distance travelled by a point 9.5 cm from the axis of totation of the ultracentrifuge?arrow_forward
- 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_forwardThe 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 man stands on a merry-go-round that is rotating at 2.5 rad/s. If the coefficient of static friction between the man’s shoes and the merry-go-round is s=0.5 , how far from the axis of rotation can he stand without sliding?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 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_forwardWhy is the following situation impossible? A mischievous child goes to an amusement park with his family. On one ride, after a severe scolding from his mother, he slips out of his seat and climbs to the top of the rides structure, which is shaped like a cone with its axis vertical and its sloped sides making an angle of = 20.0 with the horizontal as shown in Figure P6.32. This part of the structure rotates about the vertical central axis when the ride operates. The child sits on the sloped surface at a point d = 5.32 m down the sloped side from the center of the cone and pouts. The coefficient of static friction between the boy and the cone is 0.700. The ride operator does not notice that the child has slipped away from his seat and so continues to operate the ride. As a result, the sitting, pouting boy rotates in a circular path at a speed of 3.75 m/s. Figure P6.32arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
What Is Circular Motion? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=1cL6pHmbQ2c;License: Standard YouTube License, CC-BY