Question : A bar B of mass M1, originally at rest, is being towed over ...

A bar B of mass ${ M }_{ 1 }$ , originally at rest, is being towed over a series of small rollers. Determine the force in the cable at time t if the motor M is drawing in the cable for a short time at a rate v = ${ kt }^{ 2 }$ . How far does the bar move in time t? Neglect the mass of the cable, pulley, and the rollers. Given: kN = ${ 10 }^{ 3 }$ N , ${ M }_{ 1 }$ = 300 kg , t = 5 s , k = ${ 0.4 m/s }^{ 3 }$