What will be the force constant of the spring system shown in the figure
$\frac{{{K_1}}}{2} + {K_2}$
${\left[ {\frac{1}{{2{K_1}}} + \frac{1}{{{K_2}}}} \right]^{ - 1}}$
$\frac{1}{{2{K_1}}} + \frac{1}{{{K_2}}}$
${\left[ {\frac{2}{{{K_1}}} + \frac{1}{{{K_1}}}} \right]^{ - 1}}$
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
A mass $m =100\, gms$ is attached at the end of a light spring which oscillates on a frictionless horizontal table with an amplitude equal to $0.16$ metre and time period equal to $2 \,sec$. Initially the mass is released from rest at $t = 0$ and displacement $x = - 0.16$ metre. The expression for the displacement of the mass at any time $t$ is
The effective spring constant of two spring system as shown in figure will be
In the situation as shown in figure time period of vertical oscillation of block for small displacements will be
Find maximum amplitude for safe $SHM$ (block does not topple during $SHM$) of $a$ cubical block of side $'a'$ on a smooth horizontal floor as shown in figure (spring is massless)