A stone is suspended from the free end of a wire that is wrapped around the outer of a pulley as shown. The pulley is a solid cylinder with mass 10.0 kg and radius 30.0 cm. You measure that the stone travels 12.6 m in the first 3.00 s starting from rest. What is (a) the tension in the wire and (b) the mass of the stone?

A hanging weight, with a mass of m, = 0.370 kg, is attached by a cord to a block with mass m, = 0.850 kg as shown in the figure below. The cord goes over a pulley with a mass of M = 0.350 kg. The pulley can be modeled as a hollow cylinder with an inner radius of R, = 0.0200 m, and an outer radius of R, = 0.0300 m; the mass of the spokes is negligible. As the weight falls, the block slides on the table, and the coefficient of kinetic friction between the block and the table is µ, = 0.250. At the instant shown, the block is moving with a velocity of v; = 0.820 m/s toward the pulley. Assume that the pulley is free to spin without friction, that the cord does not stretch and does not slip on the pulley, and that the mass of the cord is negligible. R2 (a) Using energy methods, find the speed of the block (in m/s) after it has moved a distance of 0.700 m away from the initial position shown. 2.15 x m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this…

Homework

How do you solve problem? I'm confused about which equations to use and which variables go where. How should I think about what is going on? You have a pulley 14.6 cm in diameter and with a mass of 1.9 kg. You get to wondering whether the pulley is uniform. That is, is the mass evenly distributed, or is it concentrated toward the center or the rim? To find out, you hang the pulley on a hook, wrap a string around it several times, and suspend your 1.2 kg physics book 1.5 m above the floor. With your stopwatch, you can find that it takes 0.62 s for your book to hit the floor. Use g=9.8 m/s2. a) What is the moment of inertia if the pulley is uniform? b) What is the actual moment of inertia of the pulley based on your measurement? c) Is the pulley uniform (within 1% of uniform), is the mass of the pulley concentrated toward the center, or is the mass concentrated toward the rim?

M, R m1 m2 Refer to the figure above for this problem. A wooden bldck of mass m, = 3.2 kg and a hollow block of mass m2 = 8.7 kg are connected by a rope which runs over a friction-less pulley. Assume that the pulley is a solid iron disc with a radius R = 0.3 m and mass M = 5.1 kg. The ramp is wedge- shaped and makes an angle of 0=36°. The coefficient of kinetic friction is 0.29 for both blocks and the wedgeshaped incline. (a) Draw force diagrams of both blocks and of the pulley. (b) Determine the acceleration of the two blocks. (c) Determine the tensions in the string on both sides of the pulley.

In the figure, what magnitude of force F applied horizontally at the axle of the wheel is necessary to raise the wheel over an obstacle of height h = 0.281 m? The wheel's radius is r = 0.718 m and its mass is m = 1.28 kg. O Number Units h

Let’s approximate the motion of a yo-yo with that of a solid cylinder with a string wrapped around it. The string has alength of 1.2 m and the cylinder has a mass of 0.1 kg and a radius of 0.05 m. Suppose the cylinder was released atrest from the top, what would be its velocity when it reaches the bottom?

A string is wrapped many times around a pulley and is connected to a block with mb = 4.641 kg that is hanging vertically. The pulley consists of a wheel of radius 43.11 cm and mass mp constructed with spokes that have negligible mass. What is the magnitude of the acceleration of the block? Submit Answer Tries 0/99 6.455 kg тр ть

A half-Atwood machine is made from a 2 kg box resting on a friction-less ramp (inclined 10 ̋above the horizontal) and a 1.5 kg box hangingfrom the other end of the string. The pulley is a disc with radius 20 cmand mass 1 kg. The system is released from rest.Determine the direction and magnitude of the hanging box’s acceleration.