A spring of force constant $600{\mathrm{Nm}}^{-1}$ is mounted on a horizontal table. A mass of $1.5 \mathrm{kg}$ is attached to the free end of the spring, pulled sideways to a distance of $2 \mathrm{cm}$ and released. The speed of the mass when the spring is compressed by $1 \mathrm{cm}$ is

A mass of $1.5 \mathrm{kg}$ is connected to two identical springs each of force constant $300 {\mathrm{Nm}}^{-1}$ as shown in the figure. If the mass is displaced from its equilibrium position by $10 \mathrm{cm}$, then the period of oscillation is 

A mass of $1.5 \mathrm{kg}$ is connected to two identical springs each of force constant $300 {\mathrm{Nm}}^{-1}$as shown in the figure. If the mass is displaced from its equilibrium position by $10 \mathrm{cm}$, then maximum speed of the trolley is 

Figure-$1$ to Figure-$4$ shows four different spring arrangements. Mass $m$ in each arrangement is displaced from its equilibrium position and released. Neglect mass of the springs. Choose the correct statement(s)

Two identical springs have the same force constant $73.5 {\mathrm{Nm}}^{-1}$. The elongation produced in each spring in three cases shown in Figure-$1$, Figure-$2$ and Figure-$3$ are respectively$\left(g=9.8{ \mathrm{ms}}^{-2}\right)$ 

If a bob of mass $m$ is attached as shown in figure. When displaced, the pendulum will undergo $\mathrm{S}.\mathrm{H}.\mathrm{M}$. with a period $T$ is equal to

A small block of mass $2 \mathrm{kg}$ is placed on a bigger block of mass $4 \mathrm{kg}$ which is attached to horizontal spring of spring constant $K=500 \mathrm{N} {\mathrm{m}}^{-1}$ as shown in figure, coefficient of friction between blocks is$0.2$. Maximum amplitude of system so that there is no relative slipping between blocks