A yo-yo is made from two uniform disks, each with mass m and radius R, connected by a light axle of radius b. A light, thin string is wound several times around the axle and then held stationary while the yo-yo is released from rest, dropping as the string unwinds. Find the linear acceleration and angular acceleration of the yo-yo and the tension in the string.

A uniform thin spherical shell of mass M and radius R rotates about a vertical axis on frictionless bearings.  A massless cord passes around the equator of the shell, over a pulley of rotational inertia I and radius r, and is attached to a small object of mass m.  There is no friction on the pulley’s axle; the cord does not slip on the pulley.  Determine the expression for the speed of the object after it falls a distance h from rest.

A small block of mass m2 hangs from a massless rope wrapped around a pulley with radius of R. The moment of inertia of the entire pulley is I = 6m2(R)². Another block m1=2m2 is connected to the outer cylinder of the pulley via a horizontal massless rope. The coefficient of kinetic friction between the block and the horizontal surface is µg = 1 (i.e. the frictional force is f = m1g). When m2 is released from rest, what is the angular acceleration a of the block and pulley system? T, m, T. m, Pick the correct answer 最 1 g 18 1 g 10

A block of m = 2.00 kg hangs from a string that passes over a pulley with a moment of inertia / (to be determined) and a radius R = 0.44 m. The system of block and pulley is released from rest when the block is 5.00 m above the floor. It takes t = 1.17 s for the block to reach the floor. As the block accelerates downward, the pulley undergoes a counterclockwise angular acceleration. Using Newton's Laws (for linear and rotational motion), determine the moment of inertia I of the pulley. (Consider the linear acceleration of the block (from kinematics), the tension in the string, and the torque on the pulley. Careful with (+/-) directions} O 0.166 kg m² O 0.144 kg m² O 0.132 kg m2 O 0.173 kg m2 O 0.149 kg m2 30 F3 888 F4 esc F5 F6 #3 $ & 8

A uniform disk of radius 0.507 m and unknown mass is constrained to rotate about a perpendicular axis through its center. A ring with the same mass as the disk is attached around the disk's rim. A tangential force of 0.243 N applied at the rim causes an angular acceleration of 0.117 rad/s^2. Find the mass of the disk.

A uniform disk of radius R is free to rotate about its central axis. A mass m is hung vertically from the disk at a distance 2/5 R from the axis. R 2R/5 m What is the magnitude of the force F (the solid-lined arrow in the figure) which must be applied to prevent the disk from rotating? Omg O 3mg/5 O2mg/5 O 5mg/2

An object (with mass m = 6.20 kg) is attached to the free end of a massless string wrapped around a reel of radius R = 0.550 m and mass M = 4.00 kg. The reel is a solid disk, free to rotate in a vertical plane about the horizontal axis passing through its center, as shown in the figure. The suspended object is released from rest 3.50 m above the floor. Calculate the magnitude of the acceleration (in m/s2) of the object. Round your answer to 2 decimal places.Note: I=1/2 MR^2

= - = 6. A mass M₁ 10 kg resting on a horizontal frictionless surface is attached to a M₂ = 7 kg weight by a light wire that passes over a frictionless pulley. See figure. The pulley has the shape of a uniform disk of mass M3 4 kg and radius R 0.3 m. After the system is released, find (a) the tension in the wire on both sides of the pulley, (b) the acceleration of M₁, and (c) the horizontal and vertical forces that the axle exerts on the pulley. M1 M 3 M2

A jewel smith wishing to buff a finished piece of jewelry attaches a buffing disk to his drill. The radius of the disk is 3.60 mm and he operates it at 2.25 x 10 rad/s (a) Determine the tangential speed of the rim of the disk. 181 m/s (b) The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 285 m/s. What is the period of rotation of the disk now? 7.94e-5x Your answer cannot be understood or graded. More Information s