Suppose you place a10kg block on a 300 inclined plane. the block is allowed to slide to the ground, a horizontal distance ofdmeters and a vertical distance ofhmeters. if coefficient of kinetic friction is 0.45, calculate the magnitude of the kinetic and static friction. the plane is a right triangle. the 30 degrees is on the bottom and the 10 kg block is on the top of the hypotenouse.

Consider a double atwood machine constructed as follows: a mass 4m is suspended from a string that passes over a massless pulley on frictionless bearings. the other end of this string supports a second similar pulley, over which passes a second string supporting a mass of 3m at one end and m at the other. using two suitable generalized coordinates, set up the lagrangian and use the lagrange equations to find the acceleration of the mass 4m when the system is released. explain why the top pulley rotates even though it carries equal weights on each side.