Question

Draw the equivalent free body diagram (FBD) for the system shown below. Find the state variable form for both systems. Assume the cable connecting the two masses is inelastic and

the two pulleys are massless. If an input force function is applied to the mass m, in the right direction in the system, derive the input-output equation relating the input force function to the position of the mass m,.

Fig: 1

Fig: 2