Two metal disks, one with radius R1 = 2.50 cm and mass M1 = 0.80 kg and the other with radius R2 = 5.00 cm and mass M2 = 1.60 kg, are welded together and mounted on a frictionless axis through their common center, as in Problem 9.77. (a) A light string is wrapped around the edge of the smaller disk, and a 1.50-kg block is suspended from the free end of the siring. What is the magnitude of the downward acceleration of the block after it is released? (b) Repeat the calculation of part (a), this time with the string wrapped around the edge of the larger disk. In which case is the acceleration of the block greater? Does your answer make sense?
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
College Physics (10th Edition)
Physics for Scientists and Engineers with Modern Physics
College Physics
Tutorials in Introductory Physics
University Physics (14th Edition)
College Physics: A Strategic Approach (4th Edition)
- Find the net torque on the wheel in Figure P10.23 about the axle through O, taking a = 10.0 cm and b = 25.0 cm. Figure P10.23arrow_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_forwardIf the angular acceleration of a rigid body is zero, what is the functional form of the angular velocity?arrow_forward
- Two blocks, A and B, are attached to one another by a rope that passes over a frictionless pulley as shown in the figure; the mass of block A is 6 kg and the mass of block B is 4 kg. The coefficient of kinetic friction between the block A and the surface is 0.10. The pulley can be modeled as a uniformly dense solid cylinder with a radius of 2.5 cm and a mass of 4 kg. What is the magnitude of the tension (in N) in the rope between block B and the pulley if 0 = 30°? A. B 19.73arrow_forwardTwo blocks, A and B, are attached to one another by a rope that passes over a frictionless pulley as shown in the figure; the mass of block A is 6 kg and the mass of block B is 4 kg. The coefficient of kinetic friction between the block A and the surface is 0.10. The pulley can be modeled as a uniformly dense solid cylinder with a radius of 2.5 cm and a mass of 4 kg. What is the magnitude of the tension (in N) in the rope between block A and the pulley if 0 = 30°? A B X 19.73arrow_forwardA uniform rod of mass m, = 153 g and length L = 100.0 cm is attached to the wall with a pin as shown. Cords are attached to the rod at the r, = 10.0 cm and r, = 90.0 cm mark, passed over pulleys, and masses of m, = 286 g and m, = 187 g are attached. Your TA asks you to determine the following. (a) The position r, on the rod where you would suspend mass m3 200 g in order to balance the rod and keep it horizontal if released from a horizontal position. In addition, for this case, %3D what force (magnitude and direction) does the pin exert on the rod? Use standard angle notation to determine the direction of the force the pin exerts on the rod. Express the direction of the force the pin exerts on the rod as the angle 0F, measured with respect to the positive x-axis (counterclockwise is positive and clockwise is negative). r3 0.602 m 0.49 F. See if you can write a condition for rotational equilibrium statement that will allow you to determine the position on the rod where we need to…arrow_forward
- Assume y= 0 + p. Be m A A beam, uniform in mass, M = 27 kg and length L = 28 m, hangs by a cable supported at point B, and rotates without friction around point A. On the end far of the beam, an object of mass m = 14 kg is hanging. The beam is making an angle of e = 35° at point A with respect to the + x- axis. The cable makes an angle o = 21° with respect to the - x-axis at B. Assume w = 0 + Q. What is the vertical force Sy that the wall exerts on the beam at point A in terms of the tension T, given parameters, and variables available in the palette?arrow_forwardA child's top is held in place upright on a frictionless surface. The axle has a radius of ?=2.96 mm. Two strings are wrapped around the axle, and the top is set spinning by applying ?=1.90 of constant tension to each string. If it takes 0.590s for the string to unwind, how much angular momentum ? does the top acquire? Assume that the strings do not slip as the tension is applied. Point P is located on the outer surface of the top, a distance ℎ=27.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is ?=28. If the final tangential speed ? of point P is 1.45 m/s, what is the top's moment of inertia ??arrow_forwardyo-yo with an inner cylinder of r = 3.5 cm and outer radius of R = 6.50cm is at rest on a theta = 30 degree incline. Itis held in place by friction and the tension in the string that is wrapped around its inner cylinder, as shown in the figure. Assume that the positive x-direction points down the incline. Determine the friction force if the mass of the yo-yo is 420g.arrow_forward
- Cable is unwound from a spool supported on small rollers at A and B by exerting a force T = 300 N on the cable. The spool and cable have a total mass of 480 kg and a radius of gyration of ko = 1.2 m. For the calculation, neglect the mass of the cable being unwound and the mass of the rollers at A and B. The rollers turn with no friction. (Figure 1) Part A Compute the time needed to unravel 5 m of cable from the spool. Express your answer to three significant figures and include the appropriate units. Value Units t= Submit Request Answer Figure Provide Feedback Next > T= 300 N -15m0.8m- 30° to -1m-arrow_forwardA child's top is held in place upright on a frictionless surface. The axle has a radius of ?=3.21 mm. Two strings are wrapped around the axle, and the top is set spinning by applying ?=2.15 N of constant tension to each string. If it takes 0.770 s for the string to unwind, how much angular momentum ? does the top acquire? Assume that the strings do not slip as the tension is applied. Point P is located on the outer surface of the top, a distance ℎ=31.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is ?=15.0∘. If the final tangential speed ?t of point P is 1.45 m/s, what is the top's moment of inertia ??arrow_forwardYou are designing a system for moving aluminum cylinders from the ground to a loading dock. You use a sturdy wooden ramp that is 2.00 m long and inclined at 37.0° above the horizontal. Each cylinder is fitted with a light, frictionless yoke through its center, and a light (but strong) rope is attached to the yoke. Each cylinder is uniform and has mass 490 kg and radius 0.300 m. The Part A cylinders are pulled up the ramp by applying a constant force F to the free end of the rope. F is parallel to the surface of the ramp and exerts no torque on the cylinder. The coefficient of static friction between the ramp surface and the cylinder is 0.120. What is the largest magnitude F can have so that the cylinder still rolls without slipping as it moves up the ramp? Express your answer with the appropriate units. F = Value Units Submit Request Answer Part B If the cylinder starts from rest at the bottom of the ramp and rolls without slipping as it moves up the ramp, what is the shortest time it…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 LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning