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

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

  • Planar Kinematics of a Rigid Body (PKRB) - General Questions
16. 

The disk rolls without slipping such that it has an angular acceleration of = 4 rad/s2 and angular velocity of = 2 rad/s at the instant shown. Determine the accelerations of points A and B on the link and the link's angular acceleration at this instant. Assume point A lies on the periphery of the disk, 150 mm from C.

A. aA = (1.200i - 0.600j) m/s2, aB = 1.650i m/s2, "AB = 1.500 rad/s2
B. aA = (1.200i - 0.600j) m/s2, aB = 1.650i m/s2, "AB = 1.500 rad/s2
C. aA = (1.200i - 2.40j) m/s2, aB = 3.00i m/s2, "AB = 6.00 rad/s2
D. aA = (1.200i - 1.200j) m/s2, aB = 2.10i m/s2, "AB = 3.00 rad/s2

Answer: Option B

Explanation:

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17. 

Knowing the angular velocity of link CD is CD = 4 rad/s, determine the angular velocities of links BC and AB at the instant shown.

A. AB = 4.00 rad/s TBC = 1.200 rad/s
B. AB = 2.65 rad/s TBC = 1.985 rad/s
C. AB = 4.00 rad/s TBC = 1.200 rad/s
D. AB = 1.600 rad/s TBC = 2.29 rad/s

Answer: Option C

Explanation:

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18. 

The safe is transported on a platform which rests on rollers, each having a radius r. If the rollers do not slip, determine their angular velocity if the safe moves forward with a velocity v.

A. = v/(2r)
B. = v/r
C. = 3v/r
D. = 2v/r

Answer: Option A

Explanation:

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19. 

The oil pumping unit consists of a walking beam AB, connecting rod BC, and crank CD. If the crank rotates at a constant rate of 6 rad/s, determine the speed of the rod hanger H at the instant shown.

A. vH = 17.76 ft/s
B. vH = 16.20 ft/s
C. vH = 18.00 ft/s
D. vH = 16.42 ft/s

Answer: Option C

Explanation:

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20. 

Rod CD presses against AB, giving it an angular velocity. If the angular velocity of AB is maintained at = 5 rad/s, determine the required speed v of CD for any angle of rod AB.

A. vCD = 10 csc2
B. vCD = -10 csc2
C. vCD = -10 sin
D. vCD = 10 sin

Answer: Option A

Explanation:

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