The uniform cylinder rolls without slipping on a flat surface. Let k1 = k2 = k and r = R/2...

The uniform cylinder rolls without slipping on a flat surface. Let k1 = k2 = k and r = R/2. Assume that the horizontal motion of G is small.

Determine the equation of motion for the cylinder using the energy method. Use the horizontal position of the mass center G as the degree of freedom.

Figure P9.22