1- The bucket is hoisted by the rope that warps around a drum wheel. If the angular displacement of the wheel is e =(3t2-7t) rad, where t is in seconds, determine the velocity and acceleration of the bucket when t= 5 sec 0.75 f

Determine the velocity of rod R for 0 T/2 rad in the cam C if the cam rotates with a constant angular velocity w = 10 rad/s . The pin connection at O does not cause an interference with the motion of A on C. Enter the velocity of R in m/s in the box below. Assume positive to the left, as shown in the figure. ri = 1 m, r2 = 0.15 m. Enter the answer in m/s in the box below. C www R

If the operator initially pushes the pedals at 20 rev/min and then initiates an angular acceleration of 6 rev/min2, determine the angular speed of the flywheel F (in rev/min) after the pedal has rotated 2 revolutions. Note that the pedal arm is connected to the chain plate A, which, when turning, drives the tethered pulley B through a coupling gear D. The belt wraps around the tethered pulley and then drives pulley E and the fixed flywheel. . B D "A = 125 mm "D = 20 mm "B = 175 mm "E = 30 mm F

The rod AB has a mass of 36 kg and a length of 1.9m. The spring is unstretched when 0- 45°. The spring constant k is 226 N/m. B Find the angular velocity of rod AB at 0 - 0. if the rod is released from rest when 0. 45°. Give your answer with 2 decimals.