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
When a body of mass $1.0\, kg$ is suspended from a certain light spring hanging vertically, its length increases by $5\, cm$. By suspending $2.0\, kg$ block to the spring and if the block is pulled through $10\, cm$ and released the maximum velocity in it in $m/s$ is : (Acceleration due to gravity $ = 10\,m/{s^2})$
When a body of mass $1.0\, kg$ is suspended from a certain light spring hanging vertically, its length increases by $5\, cm$. By suspending $2.0\, kg$ block to the spring and if the block is pulled through $10\, cm$ and released the maximum velocity in it in $m/s$ is : (Acceleration due to gravity $ = 10\,m/{s^2})$
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.
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A $15 \,g$ ball is shot from a spring gun whose spring has a force constant of $600 \,N/m$. The spring is compressed by $5 \,cm$. The greatest possible horizontal range of the ball for this compression is .... $m$ ($g = 10 \,m/s^2$)
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