Planar Kinematics of a Rigid Body (PKRB) - General Questions (3)

If rod CD has a downward velocity of 6in/s at the instant shown, determine the velocity of the gear rack A at this instant. The rod is pinned at C to gear B.

The scaffold S is raised hydraulically by moving the roller at A towards the pin at B. If A is approaching B with a speed of 1.5 ft/s, determine the speed at which the platform is rising as a function of . Each link is pin-connected at its midpoint and end points and has a length of 4 ft.

The pulley os pin-connected to block B at A. As cord CF unwinds from the inner hub with the motion shown, cord DE unwinds from the outer rim. Determine the angular acceleration of the pulley at the instant shown.

During a gust of wind, the blades of the windmill are given an angular acceleration of  = (0.2  ) rad/s², where  is measured in radians. If initially the blades have an angular velocity of 5 rad/s, determine the speed of point P located at the tip of one of the blades just after the blade has turned two revolutions.

Determine the angular acceleration of link BC at the instant  = 90° if the collar C has an instantaneous velocity of v_c = 4 ft/s and deceleration of a_c = 3 ft/s² as shown.

The 2-m-long bar is confined to move in the horizontal and vertical slots A and B. If the velocity of the slider block at A is 6 m/s, determine the bar's angular velocity and the velocity of block B at the instant  = 60°.

Gear A is in mesh with gear B as shown. If A starts from rest and has a constant angular acceleration of _A = 2 rad/s², determine the tome needed for B to attain an angular velocity of _B = 50 rad/s.