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Planar Kinematics of a Rigid Body (PKRB) - General Questions (2)

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

9. 

16-04

At the instant shown, gear A is rotating with a constant angular velocity of wA = 6 rad/s. Determine the largest angular velocity of gear B and the maximum speed of point C.

A. wBmax = 3.00 rad/s, vCmax = 0.212 m/s
B. wBmax = 6.00 rad/s, vCmax = 0.424 m/s
C. wBmax = 8.49 rad/s, vCmax = 0.600 m/s
D. wBmax = 4.24 rad/s, vCmax = 0.300 m/s

Answer: Option C

Explanation:

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10. 

16-03

Arm ABCD is printed at B and undergoes reciprocating motion such that thetaa = (0.3 sin 4t) rad, where t is measured in seconds and the argument for the sine is in radiaus. Determine the largest speed of point A during the motion and the magnitude of the acceleration of point D at this instant.

A. vAmax = 0.0600 m/s, aD = 1.002 m/s2
B. vAmax = 0.300 m/s, aD = 0.960 m/s2
C. vAmax = 0.0600 m/s, aD = 0.916 m/s2
D. vAmax = 0.300 m/s, aD = 0.288 m/s2

Answer: Option D

Explanation:

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11. 

16-11

Due to an engine failure, the missile is rotating at w = 3 rad/s, while its mass center G is moving upward at 200 ft/s. Determine the magnitude of the velocity of its nose B at this instant.

A. vB = 214 ft/s
B. vB = 125.0 ft/s
C. vB = 275 ft/s
D. vB = 185.4 ft/s

Answer: Option A

Explanation:

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12. 

16-05

The sphere starts from rest at thetaa = 0 and rotates with an angular acceleration of  = (4thetaa) rad/s2, where thetaa is measured in radians. Determine the magnitudes of the velocity and acceleration of point P on the sphere at the instant thetaa = 6 rad.

A. vP = 96.0 in./s, aP = 1168 in./s2
B. vP = 135.8 in./s, aP = 2310 in./s2
C. vP = 83.1 in./s, aP = 1011 in./s2
D. vP = 117.6 in./s, aP = 2000 in./s2

Answer: Option C

Explanation:

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13. 

16-12

If the block at C is moving downward at 4 ft/s, determine the angular velocity of bar AB at the instant shown.

A. TAB = 2.00 rad/s cw
B. TAB = 1.155 rad/s cw
C. TAB = 0
D. TAB = 0.870 rad/s cw

Answer: Option A

Explanation:

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14. 

16-06

The mechanism is used to convert the constant circular motion of rod AB into translating motion of rod CD. Compute the velocity and acceleration of CD for any angle thetaa of AB.

A. vCD = 6 sinthetaa ft/s, aCD = 24 cos2 ft/s2
B. vCD = 1.5 sinthetaa ft/s, aCD = 1.5 cos2 ft/s2
C. vCD = 6 sinthetaa ft/s, aCD = 0
D. vCD = 6 costhetaa ft/s, aCD = 0

Answer: Option A

Explanation:

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15. 

16-15

The rotation of link AB creates an oscillating movement of gear F. If AB has an angular velocity of wAB = 8 rad/s, determine the angular velocity of gear F at the instant shown. Gear E is a part of arm CD and pinned at D to a fixed point.

A. wF = 26.7 rad/s
B. wF = 16.00 rad/s
C. wF = 32.0 rad/s
D. wF = 27.7 rad/s

Answer: Option B

Explanation:

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16. 

16-17

As the cord unravels from the wheel's inner hub, the wheel is rotating at  = 2 rad/s at the instant shown. Determine the magnitudes of the velocities of point A and B.

A. vA = 10.77 in./s, vB = 10.00 in./s
B. vA = 10.00 in./s, vB = 10.00 in./s
C. vA = 10.77 in./s, vB = 14.00 in./s
D. vA = 4.00 in./s, vB = 14.00 in./s

Answer: Option C

Explanation:

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