Unless otherwise stated, in the following problems we assume that the gravitational...

Unless otherwise stated, in the following problems we assume that the gravitational force is constant with g = 9.81 m/sec² in the MKS system and g = 32 ft/sec² in the U.S. Customary System.

When an object slides on a surface, it encounters a resistance force called friction. This force has a magnitude of µN, where µ is the coefficient of kinetic friction and N is the magnitude of the normal force that the surface applies to the object. Suppose an object of mass 30 kg is released from the top of an inclined plane that is inclined 30º to the horizontal (see Figure 3.11). Assume the gravitational force is constant, air resistance is negligible, and the coefficient of kinetic friction µ = 0.2. Determine the equation of motion for the object as it slides down the plane. If the top surface of the plane is 5 m long, what is the velocity of the object when it reaches the bottom?