Question

2. A mass M is suspended from a frictionless hinge on a massless stick of length b. A massless rod is held perpendicular to the first rod (making ski-lift ``T-bar'') and another mass m slides frictionlessly along the second rod. Both rods pivot in the plane of the T-bar. Write equations of motion for both masses under the hilarious assumption that the masses can pass through each other without interacting in any way. What are the equations for small oscillations of m and M

Answer 1

Answer: f=Mg for mass M

And f=mg for m

Equation for small oscillation of m is T=2Π√m/k

For M it will be

T=2Π√M/k

Explanation: the force acting on mass M will be f=Mg in a downward direction f=mg in a downward direction.

Net force acting downward will be f=g(M+m).