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Physics-

General

Easy

Question

A pendulum of mass m and length L is connected to a spring as shown in figure. If the bob is displaced slightly from its mean position and released, it performs simple harmonic motion .The angular frequency of the oscillation of bob is

$\sqrt{\frac{g}{L}}$
$\sqrt{\frac{{k h}^{2} + m g L}{{m L}^{2}}}$
$\sqrt{\frac{3 g}{L}}$
$\sqrt{\frac{{k h}^{2}}{{m L}^{2}}}$

The correct answer is: $square root of fraction numerator k h to the power of 2 end exponent plus m g L over denominator m L to the power of 2 end exponent end fraction end root$

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A ball of mass m is connected to two rubber bands of length L each, under tension T as shown in the figure. The entire system is placed on a smooth horizontal surface. the ball is displaced by a small distance y perpendicular to the length of the rubber bands. Assuming that tension in rubber bands doesn't change the angular frequency of oscillations performed by the ball is

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Find the value of x in the adjacent figure

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In the following figure the value of x = ..............

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