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Q.

A system of wedge and block as shown in figure is released with the spring in its natural length. All surfaces are frictionless. Maximum elongation in the spring will be

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a

$\frac{4 m g \cos θ}{K}$

b

$\frac{2 m g \sin θ}{K}$

c

$\frac{m g \sin θ}{K}$

d

$\frac{2 m g \cos θ}{K}$

answer is D.

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Detailed Solution

From conservation of energy $m g \sin θ x = \frac{1}{2} K x^{2}$

$x = \frac{2 m g \sin θ}{K}$ where x is the maximum elongation

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