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

Exercise

• General Questions
"Nothing is impossible to a willing heart."
- (Proverb)
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/s2, determine the tome needed for B to attain an angular velocity of B = 50 rad/s.

 A. t = 62.5 s B. t = 250.0 s C. t = 10.00 s D. t = 40.0 s

2.

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°.

 A. AB = 3.46 rad/s , vB = 3.46 m/s 9 B. AB = 3.00 rad/s , vB = 3.00 m/s 9 C. AB = 3.00 rad/s , vB = 6.00 m/s 9 D. AB = 6.00 rad/s , vB = 10.39 m/s 9

3.

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

4.

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.

 A. vP = 5.60 ft/s B. vP = 19.87 ft/s C. vP = 14.05 ft/s D. vP = 18.81 ft/s

5.

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.