of mass m1and m2are connected by a massless string that passes over the pulley in FIGURE P12.65. The pulley turns on frictionless bearings. Mass m1slides on a horizontal, frictionless surface. Mass m2is released while the blocks are at rest.
a. Assume the pulley is massless. Find the acceleration of m1and the tension in the string. This is a Chapter 7 review problem.
b. Suppose the pulley has mass mpand radius R. Find the acceleration of m1and the tensions in the upper and lower portions of the string. Verify that your answers agree with part a if you set mp= 0.
Learn your wayIncludes step-by-step video
Chapter 12 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (Chs 1-42) Plus Mastering Physics with Pearson eText -- Access Card Package (4th Edition)
Additional Science Textbook Solutions
Laboratory Experiments in Microbiology (12th Edition) (What's New in Microbiology)
Organic Chemistry (8th Edition)
Cosmic Perspective Fundamentals
Brock Biology of Microorganisms (15th Edition)
Microbiology: An Introduction
Campbell Essential Biology with Physiology (5th Edition)
- A rope of negligible mass is wrapped around a 225 kg solid cylinder of radius 0.400 m. The cylinder is suspended several meters off the ground with its axis oriented horizontally, and turns on that axis without friction, (a) If a 75.0-kg man takes hold of the free end of the rope and falls under the force of gravity, what is his acceleration? (b) What is the angular acceleration of the cylinder? (c) if the mass of the rope were not neglected, what would happen to the angular acceleration of the cylinder as the man falls?arrow_forwardSuppose when Earth was created, it was not rotating. However, after the application of a uniform torque after 6 days, it was rotating at 1 rev/day. (a) What was the angular acceleration during the 6 days? (b) What torque was applied to Earth during this period? (c) What force tangent to Earth at its equator would produce this torque?arrow_forwardSuppose you exert a force of 180 N tangential to a 0.280-m-radius, 75.0-kg grindstone (a solid disk). (a) What torque is exerted? (b) What is the angular acceleration assuming negligible opposing friction? (c) What is the angular acceleration if there is an opposing frictional force of 20.0 N exerted 1.50 cm from the axis?arrow_forward
- A compact disc rotates at 500 rev/min. If the diameter of the disc is 120 mm, (a) what is the tangential speed of a point at the edge of the disc? (b) At a point halfway to the center of the disc?arrow_forwardA wind turbine is rotating conterclockwise at 0.5 rev/s and slows to a stop in 10 s. Its blades are 20 m in length. (a) What is the angular acceleration of the turbine? (b) What is the centripetal acceleration of the tip fo the blades at t=0s ? (c) What is the magnitude and direction of the total linear acceleration of the tip of the blades at t=0s ?arrow_forwardA. At what rate is the flywheel spinning when the power comes back on? B. How long after the beginning of the power failure would it have taken the flywheel to stop if the power had not come back on? C. How many revolutions would the wheel have made during this time?arrow_forward
- During a very quick stop, a car deceleraes at 7.00 m/s^2.a. What is the angular acceleration of its 0.280-m-radius tires, assuming they do not slip on the pavement?b. How many revolutions do the tires make before coming to rest, given their initial angular velocity is 95.0 rad/s?c. How long does the car take to stop completely?d. What distance does the car travel in this time?e. What was the car’s initial velocity?f. Do the values obtained seem reasonable, considering that this stop happens very quickly?arrow_forwardA stroboscope is a light that flashes on and off at a constant rate. It can be used to illuminate a rotating object, and if the flashing rate is adjusted properly, the object can be made to appear stationary. a. What is the shortest time between flashes of light that will make a three-bladed propeller appear stationary when it is rotating with an angular speed of 16.7 rev/s? b. What is the next shortest time?arrow_forwardA 55-kg child sits on a 1.1-m radius playground merry-go-round without holding on to the rails. a. Someone pushes tangentially, resulting in a torque of 356 N m. How fast is the merry-go round moving (in m/s)? If the child begins to slip off the merry-go-round at this speed, what is the coefficient of friction between the child and the surface?arrow_forward
- A gyroscope slows from an initial rate of 33 rad/s at a rate of 0.54 rad/s^2. a. how long (in s) does it take to come to rest? b. how many revolutions does it make before stopping?arrow_forwardA boy is riding his bike at 23 m/s if his wheels radius is .7 meters.a. What is the rotational speed of the wheel (in rev/sec)?b. What is the period of the wheel (in seconds)?arrow_forwardA ceiling fan is rotating 245 times each minute. a. What is its frequency? b. What is its period of rotation? c. What is its angular velocity? d. When the fan is turned off, it slows down at 2.50 rad/s2. How long will it take the fan to stop?arrow_forward
- University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning