What is the free body diagram for the system depicted below

What is the free body diagram for the system depicted below? It should should the force, including the intertial force and the inertial moment. Needs the generalized coordinate U(t) and the displacement of the point expressed in terms of that coordinate.

P(r) Rigid massless bar Z(t) Elliptical plate nass area

Solution

first of all evaluate the mass of the elliptical object,

AREA= *(L/2)*(L/4) =(L²)/8

Therefore,the mass will be equal to *(L²)/8

Now you have got all the simplified masses,now just balance the forces in x-direction,then take the moment about the hinge,which will help you in getting other forces,then by balancing the forces in x-direction,you will get the force in hinge itself,then just draw the forces with appropiate directions.