An object of mass M = 10.5 kg is attached to a cord that is wrapped around a wheel of radius r = 12.0 cm (see figure). The acceleration of the object down the frictionless incline is measured to be a = 2.00 m/s and the incline makes an angle 0 = 37.0 with the horizontal. Assume the axle of the wheel to be frictionless. M A (a) Determine the tension in the rope. N (b) Determine the moment of inertia of the wheel. kg . m2 (c) Determine the angular speed of the wheel 3.40 s after it begins rotating, starting from rest. rad/sAn Atwood's machine consists of blocks of masses m, = 11.0 kg and my = 16.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M = 9.20 kg and radius r = 0.200 m. The block of mass m, is allowed to drop, and the cord turns the pulley without slipping. M T1 T2 m1 m2 (a) Why must the tension 7, be greater than the tension T, ? This answer has not been graded yet. (b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of a.) m/s2 (c) Find the tensions T, and T2. T1= N T2 = INA solid, uniform disk of radius 0.250 m and mass 45.8 kg rolls down a ramp of length 5.00 m that makes an angle of 12.0 with the horizontal. The disk starts from rest from the top of the ramp. (a) Find the speed of the disk's center of mass when it reaches the bottom of the ramp. m/s (b) Find the angular speed of the disk at the bottom of the ramp. rad/sA 2.25 kg solid, uniform sphere rolls without slipping across a level surface, translating at 4.00 m/s. If the sphere's radius is 0.480 m, find the following. HINT (a) the sphere's translational kinetic energy (in ]) (b) the sphere's rotational kinetic energy (in ])