A mass m hangs from string wrapped around a pulley of radius R. The pulley has...

Question

Question

A mass m hangs from string wrapped around a pulley of radius R. The pulley has a moment of inertia I and its pivot is frictionless.

Because of gravity, the mass falls and the pulley rotates. The magnitude of the torque on the pulley is..

equal to mgR

Not enough information

greater than mgR

less than mgR

Answer 1

Answer #1

The equation of motion of the mass is, mg-T = ma = m(g-a) The torque on the pulley is, T=TR = m(g-a)R = mgR-mar = Thus, from

Answer 2

Similar Homework Help Questions

A string is wrapped around a pulley of mass m, radius r and unknown moment of...

A string is wrapped around a pulley of mass m, radius r and unknown moment of interia. The pulley can rotate freely about its axis without friction. The loose end of the string is attached to a block of mass m. If the magnitude of the angular acceleration of the pulley is 7g/12r what is the moment of interia of the pulley?
A string is wrapped around a pulley of radius 0.5 m and moment of inertia 0.1...

A string is wrapped around a pulley of radius 0.5 m and moment of inertia 0.1 kg. m². When the string is pulled with a force F, the pully rotates, resulting in angular acceleration of 2 rad/s2 Determine the magnitude of the force F. (Hint: Use Torque and angular acceleration). OON O 0.4N 16N OBN
A string is wrapped around a pulley of radius 0.5 m and moment of inertia 0.1...

A string is wrapped around a pulley of radius 0.5 m and moment of inertia 0.1 kg. m². When the string is pulled with a force F, the pully rotates, resulting in angular acceleration of 2 rad/s2 Determine the magnitude of the force F. (Hint: Use Torque and angular acceleration). OON O 0.4N 16N OBN

A string is wrapped around a pulley of mass M, radius R, and moment of inertial....

A string is wrapped around a pulley of mass M, radius R, and moment of inertial. The string is attached to a mass m; the mass m is then released. Treat the pulley as if it were a uniform disk (a) Find the acceleration of the mass m as it falls. (b) How would your answer to part (a) above change if we ignore the motion of the pulley (effectively setting the mass M -0)? m
A mass m hangs from a string. The string is attached to a frictionless pulley of...

A mass m hangs from a string. The string is attached to a frictionless pulley of mass M and is wrapped around it many times around it. The hanging mass is released from rest from a height h above the floor. The pulley is a uniform disk. use the rotational and linear second laws to find the acceleration of the mass as it falls. I got a = 2mg/(2m+M). Is this correct? If, so please explain
An object of mass m 214 g hangs by a light string wrapped around a light...

An object of mass m 214 g hangs by a light string wrapped around a light inner pulley (hub) having radius R, - 18.7 em. This inner pulley is the hub of a circular wheel having radius R2 = 24.9 cm and mass Mwheel 768 g. Assume the entire wheel assembly rotates without friction and that the inner polley has negligible mass. What is the tangential speed of a point on the rim of the inner pulley at time t...

Part D (Rotational Dynamics and Oscillations) Problem D1: A disk-shaped pulley has mass M = 4kg...

Part D (Rotational Dynamics and Oscillations) Problem D1: A disk-shaped pulley has mass M = 4kg and radius R = 0.5cm. It rotates free axis. A block of mass m = 2kg hangs by a string that is tightly wrapped ar the system starts from rest. Moment of inertia of a disk is I = 2 gs by a string that is tightly wrapped around the pulley. Assume m.it rotates freely on a horizontal M 1) What is the acceleration...
A 2.20 kg mass is attached to a light cord that is wrapped around a pulley...

A 2.20 kg mass is attached to a light cord that is wrapped around a pulley of radius 4.35 cm, which turns with negligible friction. The mass falls at a constant acceleration of 2.05 m/s2. Find the moment of inertia of the pulley.
A block of mass m is hanging from a cord that is wrapped around a pulley...

A block of mass m is hanging from a cord that is wrapped around a pulley with radius R and moment of inertia I. When the block is released from rest, the pulley will rotate counterclockwise. Part A Solve for the acceleration of the block (your answer can include m,g,R, and I) Part B Draw a free body diagram showing the forces that act on the block Part C What happens to the acceleration of the block if the moment...

A 1.60 kg mass is attached to a light cord that is wrapped around a pulley...

A 1.60 kg mass is attached to a light cord that is wrapped around a pulley of radius 4.75 cm, which turns with negligble friction. The mass falls at a constant acceleration of 3.40 m/s^2. Find the moment of inertia of the pulley.