Exercise: Planar Kinematics Of A Rigid Body

Questions for: Planar Kinematics Of A Rigid Body

If the rim of the wheel and its hub maintain contact with the three stationary tracks as the wheel rolls, it is neccessary that slipping occurs at the hub A if no slipping occurs at B. Under these conditions, what is the speed at A if the wheel has an angular velocity ?

A:
vA = (r2-r1)
B:
vA = r1
C:
vA = (r2-r1)
D:
vA = r1
Answer: A
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The automobile with wheels 2.5 ft in diameter is traveling in a straight path at a rate of 60 ft/s. If no slipping occurs, determine the angular velocity of one of the rear wheels and the velocity of the fastest moving point on the wheel.

A:
= 48 rad/s, vmax = 84.9 ft/s
B:
= 24 rad/s, vmax = 84.9 ft/s
C:
= 48 rad/s, vmax = 120.0 ft/s
D:
= 24 rad/s, vmax = 120.0 ft/s
Answer: C
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Gear C is rotating with a constant angular velocity of c = 3 rad/s. Determine the acceleration of the piston A and the angular acceleration of rod AB at the instant = 90°. Set rc = 0.2 ft and rd = 0.3 ft.

A:
aA = 5.88 ft/s2 6, "AB = 4.00 rad/s2
B:
aA = 5.88 ft/s2 7, "AB = 4.00 rad/s2
C:
aA = 0.245 ft/s2 6, "AB = 0.816 rad/s2
D:
aA = 0.245 ft/s2 7, "AB = 0.816 rad/s2
Answer: C
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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: A
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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: C
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