Engineering Mechanics - PKRB: Force and Animation

Exercise :: PKRB: Force and Animation - General Questions

  • PKRB: Force and Animation - General Questions
6. 

The 10-kg block rests on the platform for which = 0.4. If at the instant shown link AB has an angular velocity = 2 rad/s, determine the greatest angular acceleration of the link so that the block doesn't slip.

A. = 6.35 rad/s2
B. = 2.62 rad/s2
C. = 1.016 rad/s2
D. = 3.46 rad/s2

Answer: Option C

Explanation:

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7. 

If the cable CB is horizontal and the beam is at rest in the position shown, determine the tension in the cable at the instant the towing force F = 1500 N is applied. The coefficient of friction between the beam and the floor at A is A = 0.3. For the calculation, assume that the beam is a uniform slender rod having a mass of 100 kg.

A. TCB = 636 N
B. TCB = 1206 N
C. TCB = 1016 N
D. TCB = 347 N

Answer: Option A

Explanation:

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8. 

The 15-lb rod is pinned and has an angular velocity of = 5 rad/s when it is in the horizontal position shown. Determine the rod's angular acceleration and the pin reactions at this instant.

A. = 16.1 rad/s2, Ax = 17.47 lb, Ay = 3.75 lb
B. = 64.4 rad/s2, Ax = 17.47 lb, Ay = 30.0 lb
C. = 16.1 rad/s2, Ax = 17.47 lb, Ay = 15.00 lb
D. = 64.4 rad/s2, Ax = 17.47 lb, Ay = 15.00 lb

Answer: Option A

Explanation:

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9. 

Bar AB has a weight of 10 lb and is fixed to the carriage at A. Determine the internal axial force Ay, shear force V, and moment MA at A if the carriage is descending the plane with an acceleration of 4 ft/s2.

A. Ay = 8.92 lb 8, Vx = 0.621 lb 7, MA = 0
B. Ay = 9.38 lb 8, Vx = 1.076 lb 7, MA = 1.076 lb-ft
C. Ay = 8.92 lb 8, Vx = 0.621 lb 7, MA = 0.621 lb-ft
D. Ay = 9.38 lb 8, Vx = 1.076 lb 7, MA = 0

Answer: Option B

Explanation:

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10. 

A cord wrapped around the inner core of a spool. If the cord is pulled with a constant tension of 30 lb and the spool is originally at rest, determine the spool's angular Velocity when s = 8 ft of cord have unraveled. Neglect the weight of the cord. The spool and cord have a total weight of 400 lb and the radius of gyration about the axle A is kA = 1.30 ft.

A. = 6.73 rad/s
B. = 3.38 rad/s
C. = 4.78 rad/s
D. = 11.43 rad/s

Answer: Option C

Explanation:

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