Two buckets of mass m¡ = 21.1 kg and m2 = 13.1 kg attached to the ends of a massless rope which passes o pulley with a mass of m, = 9.13 kg and a radius of r, = 0.150 m. Assume that the rope does not slip on th %3D pulley, and that the pulley rotates without friction. The buckets are released from rest and begin to move.

A grindstone with a mass of 48.2kg and radius 0.856m maintains a constant rotation rate of 4.93rev/s by a motor while a knife is pressed against the edge with a force of 7.38N. The coefficient of kinetic friction between the grindstone and the blade is 0.8. If the motor shuts off how many seconds will it take for the grindstone to come to a stop? Take the moment of inertia of a disk to be I = 1/mr²

When the system is released from rest, the 3m mass has a downward acceleration of 1/3 g. 1.4) Find the tension T, in the section of cord supporting the 3m mass in terms of m and g. 1.5) Find the tension T, in the section of cord supporting the m mass in terms of m and g. 1.6) The wheel has a radius R. Find its moment of inertia in terms of m and R.

a 2.84kg mass attached to a light string rotates on a horizantal frictionless table. the radius of the circle is .795 m and the string can support a mass of 22.8 kg before breaking. What maximum speed can the mass have before ths string breaks?

The moment of inertia of a 1.4-kg bicycle wheel rotating about its axis is 0.1-kg*m2.  What is the radius of the wheel, assuming that the weight of the spokes can be ignored? Provide your answer in meters.

A 1.90 kg mass is attached to a light cord that is wrapped around a pulley of radius 7.25 cm, which turns with negligible friction. The mass falls at a constant acceleration of 2.05m/s2. Find the moment of inertia of the pulley.

An Atwood machine is constructed using twowheels (with the masses concentrated at therims). The left wheel has a mass of 2 kg andradius 23.1 cm. The right wheel has a mass of2.1 kg and radius 30.77 cm. The hanging masson the left is 2 kg and on the right 1.69 kg.m3m1m4m2What is the acceleration of the hangingmass on the left? Use down as the positive direction. The acceleration of gravity is9.8 m/s2.Answer in units of m/s2.

I am unsure how to appraoch this problem. how do I do it?

A 2.05 kg mass is attached to a light cord that is wrapped around a pulley of radius 4.25 cm, which turns with negligible friction. The mass falls at a constant acceleration of 3.10 m/s?. Find the moment of inertia of the pulley?

In the figure, two 6.20 kg blocks are connected by a massless string over a pulley of radius 2.40 cm and ro- tational inertia 7.40×10-4 kgcdotm?. The string does not slip on the pulley; it is not known whether there is friction between the table and the sliding block; the pulley's axis is frictionless. When this system is relea- sed from rest, the pulley turns through 0.650 rad in 91.0 ms and the acceleration of the blocks is constant. What are (a) the magnitude of the pulley's angular acceleration, (b) the magnitude of either block's acce- leration, (c) string tension Tı, and (d) string tension T2?