Question 334: Oscillations

Question

A block of mass $m$ attached to one end of the vertical spring produces extension $x$. If the block is pulled and released, the periodic time of oscillation is

Accepted Answer

For vertical spring, the periodic time of oscillation is
$T=2 \pi \sqrt{\frac{m}{k}}$
As, restoring force, $|F|=kx$
$\begin{array}{ll}
\Rightarrow & k=\frac{F}{x}=\frac{m g}{x} \
	herefore & T=2 \pi \sqrt{\frac{m}{\frac{m g}{x}}}=2 \pi \sqrt{\frac{x}{g}}
\end{array}$

Answer

$2 \pi \sqrt{\frac{x}{4 g}}$

Answer

$2 \pi \sqrt{\frac{2 x}{g}}$

Answer

$2 \pi \sqrt{\frac{x}{2 g}}$

Answer

$2 \pi \sqrt{\frac{x}{g}}$

Oscillations

A block of mass m attached to one end of the vertical spring produces extension x. If the block is pulled and released, the periodic time of oscillation is

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