Question 357: 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

Choose the correct answer: