At the instant shown the boomerang has an angular velocity omega = 4 rad/s, and its mass center g has a velocity vg = 12 cm/s. determine the velocity of point b at this instant.

A200-mm wide strip 25 mm thick is fed through a rolling mill w/two powered rolls each of radius = 250 mm. the work thickness is to be reduced to 22 mm in one pass at a roll speed of 60 rev/min. the average flow stress of the work material, as it passes through the rolls is 175 mpa. the friction coefficient between rolls and work material is 0.20. 1, determine a)-if friction is sufficient for rolling.b)- if friction is sufficient: c)- calculate roll force i calculate roll torque. d)- calculate roll power.