GATE ME 2026 Set 1 — Question 50
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Engineering Mechanics → Dynamics → Instantaneous Center of Rotation
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Question
A rigid slender bar, AB, is sliding against two mutually perpendicular frictionless walls, as shown in the figure below. The velocity of A in the downward direction at a given instant is . At that instant, the magnitude of absolute velocity of the midpoint G is ________ m/s (rounded off to 2 decimal places).
Correct answer
4.2 to 4.29
Solution
1.Kinematic Relationship:
Let the length of the bar be . Let the coordinates of A be and B be .The constraint equation is .
Differentiating with respect to time: .
Given and at the instant shown, the angle is , so .
.
2.Velocity of Midpoint G:
The coordinates of the midpoint G are .The velocity components of G are:
3.Magnitude of Absolute Velocity:
Rounding to two decimal places, we get .Continue learning with Success Tracker
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