GATE ME 2016 Set 3 — Question 42
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Engineering Mechanics → Dynamics → Kinematics of Rigid Bodies
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Question
A rigid rod (AB) of length m is undergoing translational as well as rotational motion in the - plane (see the figure). The point A has the velocity m/s. The end B is constrained to move only along the direction.
The magnitude of the velocity (in m/s) at the end B is __________
Correct answer
2.9 to 3.1
Solution
For a rigid rod, the component of velocity of both ends along the length of the rod must be equal to maintain the constant length constraint.
Let and .
The position vector of B relative to A is .
Given , .
The unit vector along the rod is .
Equating velocity components along the rod:
m/s.
Let and .
The position vector of B relative to A is .
Given , .
The unit vector along the rod is .
Equating velocity components along the rod:
m/s.
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