What is the relation between velocities of points A and B in the given figure.

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What is the relation between velocities of points A and B in the given figure.

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V_{C} = \frac{(V_{A} + V_{B}) \cos θ_{1}}{\cos θ_{2}} - V_{B}

If θ_{1} = θ_{2}, then V_{C} = V_{A}

If θ_{1} = θ_{2}, then V_{C} = - V_{A}

V_{C} = \frac{(V_{A} - V_{B}) \cos θ_{1}}{\cos θ_{2}} - V_{A}

answer is B, C, D.

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Detailed Solution

$(V_{A} + V_{B}) \cos θ_{1} = (V_{B} + V_{C}) \cos θ_{2}$

$V_{C} = \frac{(V_{A} + V_{B}) \cos θ_{1}}{\cos θ_{2}} - V_{B}$

$if θ_{1} = θ_{2}$

$V_{C} = \frac{(V_{A} + V_{B}) \cos θ_{1}}{\cos θ_{2}} - V_{B}$

$V_{C} = V_{A}$

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