A block of mass $m$ hangs from three springs having same spring constant $k$. If the mass is slightly displaced downwards, the time period of oscillation will be
A block of mass $m$ hangs from three springs having same spring constant $k$. If the mass is slightly displaced downwards, the time period of oscillation will be
- A
$2 \pi \sqrt{\frac{m}{3 k}}$
- B
$2 \pi \sqrt{\frac{3 m}{2 k}}$
- C
$2 \pi \sqrt{\frac{2 m}{3 k}}$
- D
$2 \pi \sqrt{\frac{3 k}{m}}$
Similar Questions
A mass m is suspended from a spring of length l and force constant $K$. The frequency of vibration of the mass is ${f_1}$. The spring is cut into two equal parts and the same mass is suspended from one of the parts. The new frequency of vibration of mass is ${f_2}$. Which of the following relations between the frequencies is correct
A mass m is suspended from a spring of length l and force constant $K$. The frequency of vibration of the mass is ${f_1}$. The spring is cut into two equal parts and the same mass is suspended from one of the parts. The new frequency of vibration of mass is ${f_2}$. Which of the following relations between the frequencies is correct
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.
If a body of mass $0.98\, kg$ is made to oscillate on a spring of force constant $4.84\, N/m$, the angular frequency of the body is ..... $ rad/s$
If a body of mass $0.98\, kg$ is made to oscillate on a spring of force constant $4.84\, N/m$, the angular frequency of the body is ..... $ rad/s$
A body of mass $0.01 kg$ executes simple harmonic motion $(S.H.M.)$ about $x = 0$ under the influence of a force shown below : The period of the $S.H.M.$ is .... $s$
A body of mass $0.01 kg$ executes simple harmonic motion $(S.H.M.)$ about $x = 0$ under the influence of a force shown below : The period of the $S.H.M.$ is .... $s$
Two springs of constant ${k_1}$and ${k_2}$are joined in series. The effective spring constant of the combination is given by
Two springs of constant ${k_1}$and ${k_2}$are joined in series. The effective spring constant of the combination is given by
- [AIPMT 2004]