GATE ME 2014 Set 2 — Question 49
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Engineering Mechanics → Dynamics → Kinematics of Rigid Bodies
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Question
A rigid link PQ of length m rotates about the pinned end Q with a constant angular acceleration of rad/s. When the angular velocity of the link is rad/s, the magnitude of the resultant acceleration (in m/s) of the end P is _______
Correct answer
39 to 41
Solution
Given:
Length of link, m
Angular acceleration, rad/s
Angular velocity, rad/sPoint P is in circular motion about point Q. Its acceleration has two perpendicular components:
m/sThe calculated value is 40, which falls within the range [39, 41].
Length of link, m
Angular acceleration, rad/s
Angular velocity, rad/sPoint P is in circular motion about point Q. Its acceleration has two perpendicular components:
1.Tangential acceleration ():
m/s2.Normal (Centripetal) acceleration ():
m/s3.Resultant acceleration ():
m/sThe calculated value is 40, which falls within the range [39, 41].
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