A block of mass m is released from rest on a frictionless triangular block of mass M and angle of inclination (as shown below). The triangular block rests on a frictionless horizontal surface. In homework 8, you found the Lagrangian for this system in terms of the generalized coordinates shown below. m x1 M Ꮎ The Lagrangian is: 1 L = - ½ M²] + ½ mm 2 2m (i (x² + (1 + 2)² tan²0) + mg (x1+x2) tan 0 Use Lagrange's Equations to find the equations of motion for the system.

A block of mass m is released from rest on a frictionless triangular block of mass M and angle of inclination (as shown below). The triangular block rests on a frictionless horizontal surface. In homework 8, you found the Lagrangian for this system in terms of the generalized coordinates shown below. m x1 M Ꮎ The Lagrangian is: 1 L = - ½ M²] + ½ mm 2 2m (i (x² + (1 + 2)² tan²0) + mg (x1+x2) tan 0 Use Lagrange's Equations to find the equations of motion for the system.