Question 114: Oscillations

Question

In the given figure, a body of mass M is held between two massless springs, on a smooth inclined plane. The free ends of the springs are attached to firm supports. If each spring has spring constant k, the frequency of oscillation of given body is :

Accepted Answer

Let T be the time period of oscillation, then
$$T = 2\pi \sqrt {{M \over {{k_{eq}}}}} $$
$$	herefore$$ $$T = 2\pi \sqrt {{M \over {2k}}} $$ [$$\because$$ $${k_{eq}} = k + k$$]
and frequency $$(f) = {1 \over T} = {1 \over {2\pi }}\sqrt {{{2k} \over M}} $$

Answer

$${1 \over {2\pi }}\sqrt {{{2k} \over {Mg\sin \alpha }}} $$

Answer

$${1 \over {2\pi }}\sqrt {{k \over {Mg\sin \alpha }}} $$

Answer

$${1 \over {2\pi }}\sqrt {{{2k} \over M}} $$

Answer

$${1 \over {2\pi }}\sqrt {{k \over {2M}}} $$

Oscillations

In the given figure, a body of mass M is held between two massless springs, on a smooth inclined plane. The free ends of the springs are attached to firm supports. If each spring has spring constant k, the frequency of oscillation of given body is :

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