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 = 0.267 m? The wheel's radius is r = 0.673 m and its mass is m = 1.75 kg.

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…

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 230 N applied to its edge causes the wheel to have an angular acceleration of 0.874 rad/s2. (a) What is the moment of inertia of the wheel?_______ kg · m2(b) What is the mass of the wheel?________ kg(c) If the wheel starts from rest, what is its angular velocity after 6.00 s have elapsed, assuming the force is acting during that time? _______rad/s

A hanging weight, with a mass of m, = 0.370 kg, is attached by a cord to a block with mass m, = 0.860 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 Hy = 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 R (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. m/s (b) What is the angular speed of the pulley (in rad/s) after the block has moved this distance?…

A uniform disk with mass m = 8.75 kg and radius R = 1.41 m lies in the x-y plane and centered at the origin. Three forces act in the +y- direction on the disk: 1) a force 315 N at the edge of the disk on the +x-axis, 2) a force 315 N at the edge of the disk on the -y-axis, and 3) a force 315 N acts at the edge of the disk at an angle 0 = 38° above the -x-axis. +y +x F3 IF, F2

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 = 0.356 m? The wheel's radius is r = 0.662 m and its mass is m = 1.71 kg. F

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

A metal disc with 0.18 kg of mass and 0.070 m of radius rolled without slipping on a horizontal floor. A ramp was placed on the floor. The disc rolled up the incline without slipping to a vertical height of 0.43 m before stopping. The ramp has a length of 1.7 m along the incline. Find the speed of the disc before it reached the ramp. Hint: the disc has rotational kinetic energy. The rotational inertia of a disc is (1/2)mr^2.

A 18.5 kg door that is 1.02 m wide opens slowly as a pull of constant magnitude 53.3 N is exerted on the doorknob. This applied force, which is always perpendicular to the door, is necessary to balance the frictional torque in the hinges. How large must an applied force of constant magnitude be in order to open the door through an angle of 90.0° in 0.474 s?

An old millstone, used for grinding grain in a gristmill, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.812 rad/s2. (a) What is the moment of inertia of the wheel (in kg · m2)? ____ kg · m2   (b) What is the mass (in kg) of the wheel? ____ kg   (c) The wheel starts from rest and the tangential force remains constant over a time period of 6.00 s. What is the angular speed (in rad/s) of the wheel at the end of this time period? _____rad/s