If arm OA rotates with a constant clockwise angular velocity

If arm OA rotates with a constant clockwise angular velocity of theta = 1.4 rad/s. determine the force arm OA exerts on the smooth 6-lb cylinder B when theta = 25degree. Express your answer to three significant figures and include the appropriate units.

Solution

The force exerted will be given by mv^2/r (R being the length of the arm. M the mass of the cylinder. V the velocity)

V = 1.4 rad/s

M = 6lb

R = 4/cos 25 =4.4 ft

F = 6 * 1.96/ 4.4 = 2.672 lb/ft-s^2