A box of mass m = 10.0 kg is attached to a rope. The other end...
A box of mass m = 10.0 kg is attached to a rope. The other end of the rope is wrapped around a pulley with a radius of 15.0 cm. When you release the box, it begins to fall and the rope around the pulley begins to unwind, causing the pulley to rotate. As the box falls, the rope does not slip as it unwinds from the pulley. If the box is traveling at a speed of 2.50 m/s after it has fallen 0.500 m, what is the moment of inertia of the pulley?
Homework Answers
A 12.0 kg object is attached to a cord that is wrapped around a wheel of...
A 12.0 kg object is attached to a cord that is wrapped around a
wheel of radius 10.0 cm. The acceleration of the object down the
frictionless incline is measured to be 2.00 m/s2. Assuming the axis
of the wheel to be frictionless, determine a) the tension in the
rope, b) the moment of inertia of the wheel, and c) the angular
speed of the wheel 2.00 s after it begins rotating, starting from
rest.
A 12.0 kg object is...
A block of mass m = 2.50 kg is hanging from a massless cord that is...
A block of mass m = 2.50 kg is hanging from a massless cord that is wrapped around a pulley (mass = 4.50 kg) as shown in the figure. The cord does not slip relative to the pulley as the block falls. Find the magnitude of the acceleration of the hanging mass. (moment of inertia of the pulley = ½Mr²)
A bucket of mass m is hanging from the free end of a rope whose other...
A bucket of mass m is hanging from the free end of a rope whose other end is wrapped around a drum (radius R, mass M) that can rotate with negligible friction about a stationary horizontal axis. The drum is not a uniform cylinder and has unknown moment of inertia. When you release the bucket from rest, you find that it has a downward acceleration of magnitude (a). What is the tension in the cable between the drum and the...
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 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.
A block (mass = 2.2 kg) is hanging from a massless cord that is wrapped around...
A block (mass = 2.2 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.6 x 10-3 kg·m2), as the figure shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a...
A uniform spherical shell of mass M = 15.0 kg and radius R = 0.620 m...
A uniform spherical shell of mass M = 15.0 kg and radius R = 0.620 m can rotate about a vertical axis on frictionless bearings (see the figure). A massless cord passes around the equator of the shell, over a pulley of rotational inertia I = 0.100 kg·m2 and radius r = 0.0980 m, and is attached to a small object of mass m = 5.00 kg. There is no friction on the pulley's axle; the cord does not slip...
An m = 13.6 kg mass is attached to a cord that is wrapped around a...
An m = 13.6 kg mass is attached to a cord
that is wrapped around a wheel of radius r = 11.3 cm (see the
figure below).
The acceleration of the mass down the frictionless incline is
measured to be a = 1.98 m/s2. Assuming the axle of the
wheel to be frictionless, and the angle to be theta=
33.0o determine the tension in the rope.
Determine the moment of inertia of the wheel.
Determine angular speed of the wheel...
4, A uniform solid sphere of mass M 10.0 kg and radius R 0.50 m rotates...
4, A uniform solid sphere of mass M 10.0 kg and radius R 0.50 m rotates about a vertical axis on frictionless bearings. A massless cord passes around the equator of the sphere, over a pulley of rotational inertia 1-1.60 kg. m2, and radius r = 0.40 m, and is attached to a block of mass m 8.00 kg which is released from rest. The cord does not slip on the sphere or pulley, and the pulley bearings are frictionless....
A device is made of a wheel with an inner drum and is mounted on a...
A device is made of a wheel with an inner drum and is mounted on a frictionless axle so it does not translate but can rotate about its centre. As indicated in the figure, this device is used to lift a 30.0 kg box. The outer radius R of the device is 0.500 m and the radius of the inner drum is 0.200 m. A constant horizontal force F of magnitude 140 N is applied horizontally, as shown, to a...
A 12.0 kg object is attached to a cord that is wrapped around a
wheel of radius 10.0 cm. The acceleration of the object down the
frictionless incline is measured to be 2.00 m/s2. Assuming the axis
of the wheel to be frictionless, determine a) the tension in the
rope, b) the moment of inertia of the wheel, and c) the angular
speed of the wheel 2.00 s after it begins rotating, starting from
rest.
A 12.0 kg object is...
An m = 13.6 kg mass is attached to a cord
that is wrapped around a wheel of radius r = 11.3 cm (see the
figure below).
The acceleration of the mass down the frictionless incline is
measured to be a = 1.98 m/s2. Assuming the axle of the
wheel to be frictionless, and the angle to be theta=
33.0o determine the tension in the rope.
Determine the moment of inertia of the wheel.
Determine angular speed of the wheel...
4, A uniform solid sphere of mass M 10.0 kg and radius R 0.50 m rotates about a vertical axis on frictionless bearings. A massless cord passes around the equator of the sphere, over a pulley of rotational inertia 1-1.60 kg. m2, and radius r = 0.40 m, and is attached to a block of mass m 8.00 kg which is released from rest. The cord does not slip on the sphere or pulley, and the pulley bearings are frictionless....
A device is made of a wheel with an inner drum and is mounted on a frictionless axle so it does not translate but can rotate about its centre. As indicated in the figure, this device is used to lift a 30.0 kg box. The outer radius R of the device is 0.500 m and the radius of the inner drum is 0.200 m. A constant horizontal force F of magnitude 140 N is applied horizontally, as shown, to a...
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