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 m₁ = 1.60 kg and a block of mass m₂ = 5.75 kg are connected by a massless string over a pulley in the shape of a solid disk having a mass of M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of 8 = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. M, R m₁ m2 (a) Determine the acceleration of the two blocks. (Enter the magnitude of the acceleration.) m/s² (b) Determine the tensions in the string on both sides of the pulley. left of the pulley N right of the pulley Narrow_forwardIn the figure below, block 2 of mass m2 = 3.75 kg rests on a frictionless surface. It is attached to mass 1 (m1 = 2.50 kg) by a massless, stretchless string that passes over a frictionless pulley of radius R = 15.0 cm. When released from rest, block 2 moves to the right with an acceleration of 3.80 m/s2. What is the mass of the pulley? must draw FBDsarrow_forwardIn the figure, block 1 has mass m, = 479 g, block 2 has mass m, = 512 g, and the pulley is on a frictionless horizontal axle and has radius R = 5.09 cm. When released from rest, block 2 falls 77.6 cm in 5.13 s without the cord slipping on the pulley. (a) What is the magnitude of the acceleration of the blocks? What are (b) tension T, (the tension force on the block 2) and (c) tension T, (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/s?. m, (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Unitsarrow_forward
- Two masses, mA = 35.0 kg and mB = 38.0 kg, are connected by a rope hanging around a pulley (as in the figure). The pulley is a uniform cylinder of radius R0 = 0.381 m and mass of M = 3.1 kg. Initially mA is on the floor and mB rests 2.5 m above the floor. If the system is released, a) draw free-bodied diagrams for each of the two blocks and for the pulley. b) Determine the speed of mB just before it touches the floor. Suppose the pulley chumacera has no frictionarrow_forwardA tightrope walker is walking between two buildings holding a pole with length L = 14.5 m, and mass m, = 20.0 kg. The daredevil grips the pole with each hand a distance d = 0.525 m from the center of the pole. A bird of mass m, = 560 g lands on the very end of the left-hand side of the 2d pole. Assuming the daredevil applies upward forces with the left and right hands in a direction perpendicular to the pole, what magnitude of force Fieft and Fright must the left and right hand exert to counteract the torque of the bird? N Fright Fjeft =arrow_forwardTwo masses, mA = 35.0 kg and mB = 38.0 kg, are connected by a rope hanging around a pulley (as in the figure). The pulley is a uniform cylinder of radius R0 = 0.381 m and mass of M = 3.1 kg. Initially mA is on the floor and mB rests 2.5 m above the floor. If the system is released, a) draw free-bodied diagrams for each of the two blocks and for the pulley. b) Determine the speed of mB just before it touches the floor.arrow_forward
- Two blocks of the same masses (m = 1.1 kg) are attached to end of a rope that passes over a pulley suspended from the ceiling. The pulley is a uniform disk (laisk= MR2), with mass M = 2.8 kg and radius R = 20 cm. When the block is released and the cord unwinds, the acceleration of the blocks ( in m/s) is:arrow_forwardA pulley has a negligible mass (that means, the radius is not relevant). It is supported with a pin at the center (and is free to rotate). A rope goes over the pulley. Block A, which has a mass of 5.723 kg is connected to one side of the rope. On the other side, Block B, with a mass of 12.602 kg is connected. The system is released from rest. What is the speed of block B, after B has traveled 0.716 m? Please enter a positive value in m/s (but without units) regardless of the direction of the motion of Barrow_forwardA cord 3 m long is coiled around the axle of a wheel. The cord is pulled with a constant force of 40 N. When the cord leaves the axle, the wheel is rotating at 2 rev/s. Determine the moment of inertia of the wheel and axle. Neglect frictionarrow_forward
- In the figure, two blocks, of mass m1 = 257 g and m2 = 337 g, are connected by a massless cord that is wrapped around a uniform disk of mass M = 492 g and radius R = 10.1 cm. The disk can rotate without friction about a fixed horizontal axis through its center; the cord cannot slip on the disk. The system is released from rest. Find (a) the magnitude of the acceleration of the blocks, (b) the tension T1 in the cord at the left and (c) the tension T2 in the cord at the right. M R T2 (a) Number i 0.095238 Units m/s^2 (b) Number Units (c) Number i Unitsarrow_forwardA horizontal circular platform rotates counterclockwise about its axis at the rate of 0.897 rad/s. You, with a mass of 74.1 kg. walk clockwise around the platform along its edge at the speed of 1.15 m/s with respect to the platform. Your 20.3 kg poodle also walks clockwise around the platform, but along a circle at half the platform's radius and at half your linear speed with respect to the platform. Your 17.3 kg mutt, on the other hand, sits still on the platform at a position that is 3/4 of the platform's radius from the center. Model the platform as a uniform disk with mass 92.7 kg and radius 1.99 m. Calculate the total angular momentum Lot of the system. Lot 2 kg-m²/sarrow_forwardThe 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_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