In last week’s problem 4, you were asked to consider a massmsliding frictionlesslydown an inclined plane of massm, while the plane itself was free to slide frictionlesslyon the floor. last week, you found the equations of motion for this system usingd’alembert’s principle. this week, give it another try, using lagrange’s equations.(a) show and name the generalized coordinates you will use. how many degrees offreedom are there? (b) write the lagrangian for the system using your choice of coordinates.(c) write the equations of motion. do they match what you found last week?