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Standard XII

Physics

Constrained Motion : General Approach

A rod AB of l...

Question

A rod AB of length $l$ is moving with ends remaining in contact with frictionless wall and floor. If at any instant, shown velocity of end B is 2 m/s towards negative direction of $x$ . The speed(in $m / s$ ) of end A will be:

\sqrt{3} m s^{- 1}

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\frac{2}{\sqrt{3}} m s^{- 1}

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\sqrt{2} m s^{- 1}

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\frac{\sqrt{5}}{2} m s^{- 1}

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Solution

The correct option is B $\frac{2}{\sqrt{3}} m s^{- 1}$
Velocity along the rod should be same:
$2 c o s 60^{0} = v c o s 30^{0} \Rightarrow v = \frac{2}{\sqrt{3}}$

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A rod AB of length l is moving with ends remaining in contact with frictionless wall and floor. If at any instant, shown velocity of end B is 2 m/s towards negative direction of x. The speed(in m/s) of end A will be:

The correct option is B 2√3ms−1Velocity along the rod should be same:2cos600=vcos300⇒v=2√3

A rod AB of length $l$ is moving with ends remaining in contact with frictionless wall and floor. If at any instant, shown velocity of end B is 2 m/s towards negative direction of $x$ . The speed(in $m / s$ ) of end A will be:

The correct option is B $\frac{2}{\sqrt{3}} m s^{- 1}$
Velocity along the rod should be same:
$2 c o s 60^{0} = v c o s 30^{0} \Rightarrow v = \frac{2}{\sqrt{3}}$