Consider two blocks of masses m and m; attached together with a massless and un-stretchable string of constant length L. The string passes over a small, massless and frietionless pulley. The mass m, is heavier than m:, the direction of motion is presented in the figure below. Take the gravitational potential energy PE -0 at the level of pulley. Neglect all friction effects and the radius of the pulley. Take x, = -x. y-0,,-0,y-0 and z;-0. (a) Write down the constraint relation(s). (b) Show that the number s of degrees of freedom is 1. ( (c) Obtain expressions for the kinetic energy, potential energy, Lagrangian as a function of x, and x, Write the ountinn the countion of mlimd mommta e

Consider two blocks of masses m and m; attached together with a massless and un-stretchable string of constant length L. The string passes over a small, massless and frietionless pulley. The mass m, is heavier than m:, the direction of motion is presented in the figure below. Take the gravitational potential energy PE -0 at the level of pulley. Neglect all friction effects and the radius of the pulley. Take x, = -x. y-0,,-0,y-0 and z;-0. (a) Write down the constraint relation(s). (b) Show that the number s of degrees of freedom is 1. ( (c) Obtain expressions for the kinetic energy, potential energy, Lagrangian as a function of x, and x, Write the ountinn the countion of mlimd mommta e