In the situation as shown in figure time period of vertical oscillation of block for small displacements will be
$2\pi \cos \theta \sqrt {\frac{m}{{2k}}} $
$2\pi \sec \theta \sqrt {\frac{m}{{2k}}} $
$2\pi \sin \theta \sqrt {\frac{m}{{2k}}} $
$2\pi \cos ec\theta \sqrt {\frac{m}{{2k}}} $
In the figure, ${S_1}$ and ${S_2}$ are identical springs. The oscillation frequency of the mass $m$ is $f$. If one spring is removed, the frequency will become
Two masses $m_1$ and $m_2$ are suspended together by a massless spring of constant $K$. When the masses are in equilibrium, $m_1$ is removed without disturbing the system. The amplitude of oscillations is
If a watch with a wound spring is taken on to the moon, it
A mass $\mathrm{m}$ is suspended from a spring of negligible mass and the system oscillates with a frequency $f_1$. The frequency of oscillations if a mass $9 \mathrm{~m}$ is suspended from the same spring is $f_2$. The value of $\frac{f_1}{f_{.2}}$ is_____________.
Two springs of force constant $K$ and $2K$ are connected to a mass as shown below. The frequency of oscillation of the mass is