A particle of mass m is attached (so it cannot slide) to the midpoint of a weightless rod of length 1. The ends of the rod are constrained to move al ong the x and y axes. A uniform gravitati onal field acts in the neg ative y-direction. Use e as a generalized coordinate. Neglect friction. Solve the equation of motion for sm all 0, i.e. sin(e) e, assuming that, at t-0, e-4 and de/ dt=0? m a) e = 4 cosh(, b) 8 = 4 sinh( . 28) 0 = 4sinh(,t) 0 = 4 cosh(. %3D d)

A particle of mass m is attached (so it cannot slide) to the midpoint of a weightless rod of length 1. The ends of the rod are constrained to move al ong the x and y axes. A uniform gravitati onal field acts in the neg ative y-direction. Use e as a generalized coordinate. Neglect friction. Solve the equation of motion for sm all 0, i.e. sin(e) e, assuming that, at t-0, e-4 and de/ dt=0? m a) e = 4 cosh(, b) 8 = 4 sinh( . 28) 0 = 4sinh(,t) 0 = 4 cosh(. %3D d)