A particle of mass $m$ is attached to three identical springs $A, B$ and $C$ each of force constant $ k$ a shown in figure. If the particle of mass $m$ is pushed slightly against the spring $A$ and released then the time period of oscillations is
A particle of mass $m$ is attached to three identical springs $A, B$ and $C$ each of force constant $ k$ a shown in figure. If the particle of mass $m$ is pushed slightly against the spring $A$ and released then the time period of oscillations is
- A
$2\pi \sqrt {\frac{{2m}}{k}} $
- B
$2\pi \sqrt {\frac{m}{{2k}}} $
- C
$2\pi \sqrt {\frac{m}{k}} $
- D
$2\pi \sqrt {\frac{m}{{3k}}} $
Similar Questions
Two particles $A$ and $B$ of equal masses are suspended from two massless springs of spring constants $K _{1}$ and $K _{2}$ respectively.If the maximum velocities during oscillations are equal, the ratio of the amplitude of $A$ and $B$ is
Two particles $A$ and $B$ of equal masses are suspended from two massless springs of spring constants $K _{1}$ and $K _{2}$ respectively.If the maximum velocities during oscillations are equal, the ratio of the amplitude of $A$ and $B$ is
- [JEE MAIN 2021]
A spring block system in horizontal oscillation has a time-period $T$. Now the spring is cut into four equal parts and the block is re-connected with one of the parts. The new time period of vertical oscillation will be
A spring block system in horizontal oscillation has a time-period $T$. Now the spring is cut into four equal parts and the block is re-connected with one of the parts. The new time period of vertical oscillation will be
Is the following Statement True or False ?
$1.$ If the spring is cut in two equal piece the spring constant of every piece decreases.
$2.$ Displacement of $SHO$ increases, its acceleration decrease.
$3.$ A system can happen to oscillate, have more than one natural frequency.
$4.$ The periodic time of $SHM$ depend on amplitude or energy or phase constant.
Is the following Statement True or False ?
$1.$ If the spring is cut in two equal piece the spring constant of every piece decreases.
$2.$ Displacement of $SHO$ increases, its acceleration decrease.
$3.$ A system can happen to oscillate, have more than one natural frequency.
$4.$ The periodic time of $SHM$ depend on amplitude or energy or phase constant.
Three masses $700g, 500g$ and $400g$ are suspended at the end of a spring a shown and are in equilibrium. When the $700g$ mass is removed, the system oscillates with a period of $3\,seconds$, when the $500g$ mass is also removed, it will oscillate with a period of .... $s$
Three masses $700g, 500g$ and $400g$ are suspended at the end of a spring a shown and are in equilibrium. When the $700g$ mass is removed, the system oscillates with a period of $3\,seconds$, when the $500g$ mass is also removed, it will oscillate with a period of .... $s$
Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configurations (i), (ii) and (iii) are in the ratio
Five identical springs are used in the following three configurations. The time periods of vertical oscillations in configurations (i), (ii) and (iii) are in the ratio