Two buckets of mass mj = 18.3 kg and m2 12.1 kg are attached to the ends of a massless rope which passes over a pulley with a mass of m, = 7.33 kg and a radius of r, = 0.250 m. Assume that the rope does not slip on the pulley, and that the pulley rotates without friction. The buckets are released from rest and begin to move. If the larger bucket is a distance do = 2.15 m above the ground %3D when it is released, with what speed v will it hit the ground? speed of bucket: m/s

An Atwood's machine consists of blocks of masses m1 = 13.0 kg and m2 = 16.0 kg attached by a cord running over a pulley as in the figure below. The pulley is a solid cylinder with mass M = 9.10 kg and radius r = 0.200 m. The block of mass m2 is allowed to drop, and the cord turns the pulley without slipping. (a) Why must the tension T2 be greater than the tension T1? (b) What is the acceleration of the system, assuming the pulley axis is frictionless? (Give the magnitude of a.) =________ m/s2 (c) Find the tensions T1 and T2. T1= ______N T2= _____N

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A potter's wheel having a radius 0.52 m and a moment of inertia of 11.3 kg · m2 is rotating freely at 53 rev/min. The potter can stop the wheel in 6.0 s by pressing a wet rag against the rim and exerting a radially inward force of 68 N. Find the effective coefficient of kinetic friction between the wheel and the wet rag.

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.

A block of mass m1 = 1.55 kg and a block of mass m, = 6.25 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of 0 = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. М, R m1 (a) Draw force diagrams of both blocks and of the pulley. Choose FileNo file chosen This answer has not been graded yet. (b) Determine. the acceleration of the two blocks. (Enter the magnitude of the acceleration.) Enter a number. uation describing the angular acceleration of the pulley and the acceleration of the blocks? m/s2 (c) Determine the tensions in the string on both sides of the pulley. left of the pulley N right of the pulley N

An old vinyl record is a thin plastic disk of radius 0.25 m and mass 126 g. It is freely rotating at 45 rev/min. You are able to stop the record from rotating in 6 s by pressing your finer against the rim and exerting a radially directed force of 9 N. (Recommendation: If you don't know what a vinyl record is, please do a Google search for an image to help your understanding.) What is the coefficient of kinetic frictions between the record and your finger??

The Atwood machine consists of two masses hanging from the ends of a rope that passes over a pulley. The pulley can be approximated by a uniform disk with mass m, = 6.13 kg and 17.9 kg radius r, = 0.150 m. The hanging masses are m and mg = 12.9 kg. Calculate the magnitude of the masses' acceleration a and the tension in the left and right ends of the rope, Ti and TR, respectively. m/s? a = N Ti = m. MR TR

A way to test the tensile strength of a wire is to place a mass at the end of it and spin the mass with uniform circular motion. The speed at which the wire breaks is a measure of its strength. The maximum frequency of rotation before a certain wire breaks is 35.5 Hz. The wire is 50.5 cm long and has a mass of 0.656 kg. (a) Determine the speed with which the mass moves. (b) Calculate the centripetal force acting on the wire

Two masses are connected by an ideal rope over a pulley. The rope has no mass or stretch. The pulley is frictionless but has mass Mp and radius R. M, is on an approximately frictionless slope with angle 0 =19°. %3D The masses are all equal, M1 = M2 Mp. %3D The pulley can be approximated by a hoop with I = Mp R2 %3D If the masses are released from rest (not moving), what is their speed after M2 has fallen a distance h = 2.4 m?