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A rigid rod (AB) of length L = √2 m is undergoing translational as well as rotational motion in the x-y plane (see the figure). The point A has the velocity V1 = i + 2j m/s. The end B is constrained to move only along the x direction.
The magnitude of the velocity V2 (in m/s) at the end B is __________.
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- 3m/s
- 2m/s
- 4m/s
- 1m/s
Correct Option: A
V1 = i + 2j
|V1| = √2² + 1² = √5
By drawing velocity diagram
α = tan-1 | 2 | = 63.44 | ||||
1 |
By applying sine rule
= | sin 45 | sin 71.57 |
∴ V2 = 3 m/sec