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 }