A bicycle is placed on a service rack with its wheels hanging free. As part of a bearing test, the front wheel is spun at the rate N = 45 rev/min. Assume that this rate is constant and determine the speed v and magnitude a of the acceleration of point A. Solve with polar coordinates.

3 Problem A hydraulic cylinder rotates around point O at a constant rate 60 deg/s and the cylinder length L is decreasing at a constant rate L = -150 mm/s. Determine the magnitude of velocity and acceleration of the endpoint B when L = 125 mm. Assume that d = 375 mm. d 0 B

The figure shows a rigid link AB of length 2 m which rotates anticlockwise about a fixed point at A at a rate of 2 rad/s, but which is decelerating in its rotation at 1 rad/s². At the instance of time shown in the diagram, with the link AB at 60 degrees to the horizontal, what is the y-component of the absolute acceleration of point B? (The positive sense of the x and y directions are given by the axes in the diagram). O O O O O w = 2 rad/s a = -1 rad/s² 7.93 m/s2 Don't Know -7.93 m/s² 5.93 m/s2 -5.93 m/s² B 60⁰

In the figure, Pulley A, rotating at 20 rad/s, controls the motion of Pulley B. The motor of pulley A is cut off, and friction eventually brings the pulleys to a stop with an angular acceleration of α = -2.5t rad/s2. If there is no slippage, determine: a. The angular velocity of B with respect to time b. The angular displacement of B during the deceleration c. The acceleration of point C with respect to time