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)
- Consider the disk in Problem 71. The disks outer rim hasradius R = 4.20 m, and F1 = 10.5 N. Find the magnitude ofeach torque exerted around the center of the disk. FIGURE P12.71 Problems 71-75arrow_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
- 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 uniform solid cylinder of mass 4.4 kg with radius 0.015 m lies on a horizontal surface. A string is attached by a yoke to a frictionless axle through the center of the cylinder. The string is pulled to the right by a horizontal force of 18 N, causing the cylinder to roll without slipping on the surface. What is the magnitude of the angular acceleration of the center of mass of the cylinder in rad/s2? Express answer in 2 decimal places. M F Rarrow_forwardRyan is attempting to curl a 25-kg dumbbell. He manages to get his forearm to a horizontal position, temporarily holding the dumbbell stationary. The forearm is 30 cm in length and has a mass of 4.0 kg. [Consider the forearm to have uniform mass distribution.] The distal biceps tendon is attached to the radius (one of the two bones of the forearm) 5.5 cm from the elbow. Ryan applies maximum force in an attempt to complete the curl, but his tendon ruptures (i.e., tension goes to zero). What is the total moment of inertia about the elbow (after the rupture)? Select one: a. 0.12 kg∙m2. b. 2.25 kg∙m2. c. 2.37 kg∙m2. d. 2.28 kg∙m2.arrow_forward
- A 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_forwardA certain gyroscope consists of a uniform disk with a 50 cm radius mounted at the center of an axle that is 11 cm long and of negligible mass.The axle is horizontal and supported at one end. If the spin rate is 1000 rev/min, what is the precession rate?arrow_forward
- A cylinder of mass M and radius R is pulled by a constant force of magnitude Fapplied at the top horizontally. The cylinder rolls smoothly on the horizontal surface. Assume that M=10 kg, R=0.10 m, F=12 N, and note that the rotational inertia of the cylinder about its axis is 1/2MR^2 (a) Find the magnitude of the acceleration of thic center of mass of the cylinder (please input the numerical value in unit of m/s) (b) Find the magnitude of the angular acceleration of the contact point between the cylinder and the surface about the axis of the cylinder (please input the numerical value in unit of rad/s). (c) Find the magnitude of the frictional force acting on the cylinder (please input the numerical value in unit of N).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_forwardThe string is massless. The pulley turns on frictionless bearings. Consider the pulley as a uniform disk of mass 2.50 kg and radius 5.00 cm.T he mass m1= 4.00 kg, and the mass m2= 5.00 kg. The system is released from rest. Find (a) the acceleration of m1, and (b) the tensions, T1& T2,in the horizontal and vertical portions of the string. The horizontal surface below m1is smooth.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