The moment of inertia of the ball is 0.01 kg-m2 and is rotating around a 0.5-m string. What is the mass of the ball?
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- A 1.0-kg mass hangs on a rope wrapped around a frictionless disk pulley of mass 5 kg and radius 0.5 m. What is the acceleration of the mass? (The moment of inertia of the pulley is 1/2MR2.)- A subway train consisting of 3 cars moves on a straight track with a velocity of 1.1 meters per second. The mass of each car 3,119 kilograms. What is the total linear momentum of the train? Use kg m/s as unit. - A wind turbine has a moment of inertia of 1,265 kg m2. What is the angular momentum L of the turbine if its period of rotation is 3.16 seconds? Note, use "kg m2/s" (without the quotes) for the unit of the rotational momentum in your answer. - A 0.14 kg solid billiard ball with a radius of 0.1 m is rolling on a pool table with a speed of 1.12 m/s without slipping. Find the angular momentum of the ball. (unit in kg m2/s)In an experiment a mass of 50.00gm is attached to string wrapped around the axle of flywheel and starting from rest, falls through a distance of 169.00cm in 3.12 seçonds. The diameter of the axle is 12.0cm. What is the acceleration of the falling mass? What is the angular acceleration of the flywheel? What is the tension in the string? What is the torque acting on the flywheel due to tension? What is the moment of inertia of the flywheel, neglect the friction?
- A cylinder with a radius of 13 meters and a mass of 8.5 kg rolls without slipping, traveling at 6 m/s. What is the total K.E. of the cylinder in J?A sanding disk with rotational inertia 0.0012 kg-m2 is attached to an electric drill whose motor delivers a torque of magnitude 15 N-m about the central axis of the disk. About that axis and with a torque applied for 48 millisecond, what is the magnitude of the angular momentum?A string holds and wraps around a solid cylinder (7-kg and R = 3-m). A person pulls the string vertically upward, so the cylinder’s center of gravity does not move and is suspended in midair for 3 second. Note that the rotational inertia of the cylinder about its axis is MR2/2, the tension in the string is 3-N. what is the net force on the cylinder in Newton?