Number 12.29. 12.30. Please help me

angle of inclination o. The plane slides without friction oa the horizontal surface. Find and solve plane of mass M with an Lagrange's equations for the system. 12.29. Two masses m, and m, are connected by a string of length 1. One mass is placed on a smooth bor- izontal surfacc, while the other mass hangs over the side after the string passes over a solid pulley of mass M and radius R. Find the Lagrangian and the equations of motion. 1230 A bead of mass m subject to no external force is constrained to move on a straight wire rotating at constant angular velocity about an axis through O and perpendicular to the wirc (Fig. P12.30).Us-