Exam 8: Torque and Angular Momentum

A 2.00 m long horizontal uniform beam of mass 20.00 kg is supported by a wire as shown in the figure.The wire makes an angle of 20.00 degrees with the beam.Attached to the beam 1.400 m from the wall is a ball with a mass of 40.00 kg.What are the vertical and horizontal components of the force of the wall on the beam at the hinge?

A mass m₁ is connected by a light string that passes over a pulley of mass M to a mass m₂ as shown in the figure.Both masses move vertically and there is no slippage between the string and the pulley.The pulley has a radius of 20.0 cm and a moment of inertia of 1/2 MR².If m₁ is 3.00 kg,m₂ is 6.00 kg and M is 4.00 kg,then what is the acceleration of the masses?

A piston in an internal combustion engine applies torque during 150^o of each full rotation of the crankshaft to which it is connected.Suppose an 8-cylinder engine (8 such pistons)is running with its crankshaft turning at 2500rpm and produces 410J of work each second.What is the torque applied to the crank shaft by one of the engine's eight pistons?

Jim and Mary are carrying Bob on a horizontal stretcher.The uniform stretcher is 2.00 m long and weighs 80 N.Bob weighs 600 N.Bob's center of gravity is 80 cm from Mary.Jim and Mary are at the ends of the stretcher.The force that Mary is exerting to support the stretcher,with Bob on it,is

A 5.00 kg mass is located at (1.0 m,0.00 m,3.00 m),a 2.00 kg mass is located at (0.00 m,3.00 m,-2.00 m),and a 3.00 kg mass is located at (-1.0 m,-2.00 m ,0.00 m).The center of gravity of the system of masses is

The rotational kinetic energy of which of the following objects is greatest? Each has mass M and radius R and rotates with angular velocity $\omega$

A centrifuge has a rotational inertia of 5.50 $\times$ 10^-3 kg m².How much energy must be supplied to bring it from rest to 500 rad/s?

An irregularly shaped object is attached to an axle so that it may be spun.If a torque of 250Nm must be applied for 1.25s in order to give it a rotation period of 0.10s,what is its moment of inertia?

A mass m₁ is connected by a light string that passes over a pulley of mass M to a mass m₂ sliding on a frictionless incline as shown in the figure.There is no slippage between the string and the pulley.The pulley has a radius of 25.0 cm and a moment of inertia of 1/2 MR².If m₁ is 1.00 kg,m₂ is 2.00 kg,M is 4.00 kg,and the angle is 60.0 degrees,then what is the acceleration of m₁?

A 4.00 kg solid sphere of radius 5.00 cm starts from rest and rolls without slipping down a 30.0 degree incline.If the length of the incline is 50.0 cm,then the velocity of the center of mass of the solid sphere at the bottom of the incline is

A mass m₁ is connected by a light string that passes over a pulley of mass M to a mass m₂ as shown in the figure.Both masses move vertically and there is no slippage between the string and the pulley.The pulley has a radius of 30.0 cm and a moment of inertia of MR².If m₁ is 4.00 kg,m₂ is 3.00 kg and M is 6.00 kg,then what is the tension in the string that is attached to m₁?