The small cylinder C has mass { m }_{ C } and is attached to the end of a rod whose mass may be neglected. If the frame is subjected to a couple M = { at }^{ 2 } + b, and the cylinder is subjected to force F, which is always directed as shown, determine the speed of the cylinder when t = { t }_{ 1 } . The cylinder has a speed { v }_{ 0 } when t = 0. Given: { m }_{ C } = 10 kg , { t }_{ 1 } = 2 s , a = 8 N m/ { s }^{ 2 } , { v }_{ 0 } = 2 m/s , d = 0.75 m , b = 5 N⋅m , e = 4 , F = 60 N , f = 3