The 12-kg slender rod is pinned to a small roller a that slides freely along the slot. if the rod is released from rest at θ = 0∘, determine the angular acceleration of the rod and the acceleration of the roller immediately after the release.

Calculate the bore of a cylinder that has a stroke of 18 inches and an extension time of 6 seconds at a flow rate of 4 gal/min.

A21-tooth spur pinion mates with a 28-tooth gear. the diametral pitch is 3 teeth/in and the pressure angle is 20°, find the following values: the addendum, dedendum, circular pitch, tooth thickness, and base circle diameters.

Steam enters a converging-diverging nozzle at 1.0 mpa and 500°c with a negligible velocity at a mass flow rate of 2.5 kg/s, and it exits at a pressure of 200 kpa. assuming the flow through the nozzle to be isentropic, determine: the exit area and (a) (b) the exit mach number