Concept explainers
The figure shows a glider of mass m1 that can slide without friction on a horizontal air track. It is attached to an object of mass m2 by a massless string. The pulley has radius R and moment of inertia I about its axis of rotation. When released, the hanging object accelerates downward, the glider accelerates to the right, and the string turns the pulley without slipping or stretching. Rank the magnitudes of the following forces that act during the motion, in order from largest to smallest magnitude. (i) The tension force (magnitude T1) in the horizontal part of the string; (ii) the tension force (magnitude T2) in the vertical part of the string; (iii) the weight m2g of the hanging object.
Want to see the full answer?
Check out a sample textbook solutionChapter 10 Solutions
University Physics with Modern Physics (14th Edition)
Additional Science Textbook Solutions
The Cosmic Perspective (8th Edition)
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
College Physics: A Strategic Approach (3rd Edition)
University Physics Volume 2
Tutorials in Introductory Physics
Conceptual Physical Science (6th Edition)
- A block of mass m = 2.70 kg is hanging from a massless cord that is wrapped around a pulley (mass = 4.00 kg) asshown in the figure. The cord does not slip relative to the pulley as the block falls. Find the magnitude of the tension inthe cord. (moment of inertia of the pulley = ½Mr²)arrow_forwardIn the figure, block 1 has mass m1 = 480 g, block 2 has mass m2 = 540 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.4 cm. When released from rest, block 2 falls 77 cm in 5.1 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T1 (the tension force on the block 1)? (d) What is the magnitude of the pulley’s angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s2. (A) Number: Unit: (B) Number: Unit: (C) Number: Unit: (D) Number: Unit: (E) Number: Unit:arrow_forwardIn the figure, block 1 has mass m1 = 440 g, block 2 has mass m2 = 590 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.4 cm. When released from rest, block 2 falls 78 cm in 5.3 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T1 (the tension force on the block 1)? (d) What is the magnitude of the pulley’s angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s2.arrow_forward
- The radius and mass of the plastic disk-shaped pulley are measured to be 28 mm and 14 g, respectively. The radius and mass of the metal cylinder are measured to be 18 mm and 480 g, respectively. The moment of inertia of a disk or cylinder for the axis of rotation in the apparatus is given by I = ½ MR2, where R and M are the radius and mass of the disk or cylinder, respectively. Given the above measured values, calculate the moment of inertia of the pulley+cylinder about the axis of rotation in units of kg-m2.arrow_forwardIn the figure, block 1 has mass m1 = 460 g, block 2 has mass m2 = 520 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.0cm. When released from rest, block 2 falls 74 cm in 5.4 s without the cord slipping on the pulley. (a)What is the magnitude of the acceleration of the blocks? What are (b) tension T2 (the tension force on the block 2) and (c) tension T1 (the tension force on the block 1)? (d) What is the magnitude of the pulley’s angular acceleration? (e) What is its rotational inertia? Caution: Try to avoid rounding off answers along the way to the solution. Use g = 9.81 m/s2.arrow_forwardConsider that instead of the force F, a block with mass m = 0.32 kg (with force F = 3.139 N) and radius R = 13.0cm is attached to the cylinder with a massless string (see Figure). The cylinder is changed to one with the same mass and radius, but a different moment of inertia. Starting from rest, the mass now moves a distance 0.5647 m in a time interval of 0.57 s. Find Icm of the new cylinder.arrow_forward
- Which of the ff. best describes a scientific law?a.It implies something accurate b. It implies experimentation results c. It summarizes observed facts d.It describes and observes physical results The rate of rotary motion is called a. Angular velocity b. Angular motion c. Angular displacement d. Angular acceleration What average force is necessary to stop a .45 caliber bullet of mass 15 grams and speed of 300 m/s as it penetrates a block to a distance of 5 cm?a.12.6 kN b.13.5 kN c.13.0 kN d. 12.0 kNarrow_forwardA person sits in a chair that is free to rotate without friction. Intheir hands, they hold two masses: Mass m1 = 5.0 kg a distance r1 = 0.35m from their body and mass m2 = 3.0 kg a distance r2 = 0.75 m from their body. a. What is the moment of inertia of the person and twomasses about a vertical axis that goes through the person? Hint: because of the choice of axis, we can ignore Iperson.arrow_forwardConsider the yo-yo (of mass M and outer radius R) shown in the figure, where the string is being pulled with a force of magnitude F (F < M g) at an angle θ to the horizontal. The radius of the inner axis is r (so that r < R). Assume that the angle ranges from 0 to π/2, and the coefficient of static friction with the ground is very large. 1)Enter an expression for the critical angle (in radians, between 0 and π / 2) at which the yo-yo will remain motionless. Use γ = r / R to simplify your expression.arrow_forward
- Consider the yo-yo (of mass M and outer radius R) shown in the figure, where the string is being pulled with a force of magnitude F (F < M g) at an angle θ to the horizontal. The radius of the inner axis is r (so that r < R). Assume that the angle ranges from 0 to π/2, and the coefficient of static friction with the ground is very large. 1)Enter an expression for the critical angle (in radians, between 0 and π / 2) at which the yo-yo will remain motionless. Use γ = r / R to simplify your expression. 2) Calculate this critical angle θc, in degrees, if the yo-yo has an outer radius of 3.6 cm and an inner radius of 0.73 cm.arrow_forwardTwo blocks of mass m1 = 3 kg and m2 =7 kg are connected by a massless string over a pulley with radius r= 0.25 m and masa M= 9 kg . There aren't friction forces in inclined planes . The directions of acceleration a and angular acceleration a are güven in Figure. (a) Draw free-body diagram. (b) Find the linear acceleration . (c) Find the angular acceleration. (d) Find tane tensions in the string. ( 1=1\2 Mr^2 , g=9.8 m/s^2 sin53=0.8 cos53 =0.6 )arrow_forwardA yo-yo-shaped device mounted on a horizontal frictionless axis is used to lift a 37 kg box as shown in the figure. The outer radius R of the device is 1.0 m, and the radius r of the hub is 0.33 m. When a constant horizontal force F→app of magnitude 160 N is applied to a rope wrapped around the outside of the device, the box, which is suspended from a rope wrapped around the hub, has an upward acceleration of magnitude 0.98 m/s2. What is the rotational inertia of the device about its axis of rotation?arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON