In arrangement given in figure, if the block of mass m is displaced, the frequency is given by
$n = \frac{1}{{2\pi }}\sqrt {\left( {\frac{{{k_1} - {k_2}}}{m}} \right)} $
$n = \frac{1}{{2\pi }}\sqrt {\left( {\frac{{{k_1} + {k_2}}}{m}} \right)} $
$n = \frac{1}{{2\pi }}\sqrt {\left( {\frac{m}{{{k_1} + {k_2}}}} \right)} $
$n = \frac{1}{{2\pi }}\sqrt {\left( {\frac{m}{{{k_1} - {k_2}}}} \right)} $
A mass $M$ is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes simple harmonic oscillations with a time period $T$. If the mass is increased by m then the time period becomes $\left( {\frac{5}{4}T} \right)$. The ratio of $\frac{m}{{M}}$ is
What is condition for a body suspended at the end of a spring having simple harmonic oscillation ?
In an elevator, a spring clock of time period $T_S$ (mass attached to a spring) and a pendulum clock of time period $T_P$ are kept. If the elevator accelerates upwards
The effective spring constant of two spring system as shown in figure will be
A spring is stretched by $0.20\, m$, when a mass of $0.50\, kg$ is suspended. When a mass of $0.25\, kg$ is suspended, then its period of oscillation will be .... $\sec$ $(g = 10\,m/{s^2})$