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The torsional pendulum (wheel) undergoes oscillations in the horizontal plane, such that the angle of rotation, measured from the equilibrium position, is given by theta=.5sin(3t) rad, where t is in seconds. Determine the maximum velocity of point A located at the periphery of the wheel while the pendulum is oscillating. What is the acceleration of point A in terms of t?
If the 50 mm radius motor pulley A of the clothes dryer rotates with an angular acceleration of alpha=(10+50t) rad/s^2, where t is in seconds, determine its angular velocity when t=3 s, starting from rest.
The vertical axis windmill consists of two blades that have a parabolic shape. If the blades are originally at rest and begin to turn with a constant angular acceleration of alpha=.5 rad/s^2, determine the magnitude of the velocity and acceleration of points A and B on the blade when t=4 s.
For a short time, gear A of the automobile starter rotates with an angular acceleration of alpha=50w^.5 rad/s^2, where w is in rad/s. Determine the angular vvelocity of gear B after gear A has rotated 50 rev, starting from rest. The radii of gears A and B are 10 mm and 25 mm respectively.
If the hydraulic cylinder AB is extending at a constant rate of 1 ft/s, determine the dumpster's angular velocity at the instant theta=30 degrees.
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