PROBLEM $3$

Determine the torque $T$ that causes a maximum shearing stress of $70$ MPa in the steel

cylindrical shaft shown.

$(2$ pts$)$ A $10$ kg block is attached to spring A and connected to spring B by a cord and

pulley. The block is held in the position shown with both springs unstretched when

the support is removed and the block is released with no initial velocity. The constant

of each spring is $2k\frac{N}{m}.$ Determine:

$($a$)$ the velocity of the block after it has moved down $50$ mm $,$

$($b$)$ the maximum velocity achieved by the block.