Question 1.
A particle of mass m is attached to the rim of a disc of radius R that is pinned at its centre as shown. One end of a spring of stiffness k is attached to a drum of radius r that is itself rigidly attached to the disc. Knowing that the spring is unstretched when = 0, use the principle of virtual work to determine the value(s) of at equilibrium.
Question 2.
A ring of mass m slides without friction along a rod that is fixed at an angle with respect to the horizontal. A particle of mass M is attached to the ring with an inextensible, massless string of length L. Write Lagrange’s equations for the system.
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