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
11.

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

TAB = 2.00 rad/s
TAB = 1.155 rad/s
TAB = 0
TAB = 0.870 rad/s
Answer: Option
Explanation:
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12.

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

vP = 96.0 in./s, aP = 1168 in./s2
vP = 135.8 in./s, aP = 2310 in./s2
vP = 83.1 in./s, aP = 1011 in./s2
vP = 117.6 in./s, aP = 2000 in./s2
Answer: Option
Explanation:
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13.

Due to an engine failure, the missile is rotating at = 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.

vB = 214 ft/s
vB = 125.0 ft/s
vB = 275 ft/s
vB = 185.4 ft/s
Answer: Option
Explanation:
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14.

Arm ABCD is printed at B and undergoes reciprocating motion such that = (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.

vAmax = 0.0600 m/s, aD = 1.002 m/s2
vAmax = 0.300 m/s, aD = 0.960 m/s2
vAmax = 0.0600 m/s, aD = 0.916 m/s2
vAmax = 0.300 m/s, aD = 0.288 m/s2
Answer: Option
Explanation:
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15.

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

Bmax = 3.00 rad/s, vCmax = 0.212 m/s
Bmax = 6.00 rad/s, vCmax = 0.424 m/s
Bmax = 8.49 rad/s, vCmax = 0.600 m/s
Bmax = 4.24 rad/s, vCmax = 0.300 m/s
Answer: Option
Explanation:
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