Engineering Mechanics - Planar Kinematics of a Rigid Body (PKRB)

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

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

1.

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/s^{2}, determine the tome needed for B to attain an angular velocity of _{B} = 50 rad/s.

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°.

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/s^{2} as shown.

During a gust of wind, the blades of the windmill are given an angular acceleration of _{} = (0.2 _{} ) rad/s^{2}, 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.

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.