A bar of mass $m$ is suspended horizontally on two vertical springs of spring constant $k$ and $3k$ . The bar bounces up and down while remaining horizontal. Find the time period of oscillation of the bar (Neglect mass of springs and friction everywhere).
A bar of mass $m$ is suspended horizontally on two vertical springs of spring constant $k$ and $3k$ . The bar bounces up and down while remaining horizontal. Find the time period of oscillation of the bar (Neglect mass of springs and friction everywhere).
- A
$2\pi \sqrt {\frac{m}{k}} $
- B
$2\pi \sqrt {\frac{m}{{3k}}} $
- C
$\pi \sqrt {\frac{{2m}}{{3k}}} $
- D
$2\pi \sqrt {\frac{{m}}{{4k}}} $
Similar Questions
Block $A$ is hanging from a vertical spring and it is at rest. Block $'B'$ strikes the block $'A'$ with velocity $v$ and stick to it. Then the velocity $v$ for which the spring just attains natural length is:
Block $A$ is hanging from a vertical spring and it is at rest. Block $'B'$ strikes the block $'A'$ with velocity $v$ and stick to it. Then the velocity $v$ for which the spring just attains natural length is:
A spring balance has a scale that reads from $0$ to $50\; kg$. The length of the scale is $20\; cm .$ A body suspended from this balance, when displaced and released, oscillates with a period of $0.6\; s$. What is the weight of the body in $N$?
A spring balance has a scale that reads from $0$ to $50\; kg$. The length of the scale is $20\; cm .$ A body suspended from this balance, when displaced and released, oscillates with a period of $0.6\; s$. What is the weight of the body in $N$?
The spring mass system oscillating horizontally. What will be the effect on the time period if the spring is made to oscillate vertically ?
The spring mass system oscillating horizontally. What will be the effect on the time period if the spring is made to oscillate vertically ?
A body of mass $5\; kg$ hangs from a spring and oscillates with a time period of $2\pi $ seconds. If the ball is removed, the length of the spring will decrease by
A body of mass $5\; kg$ hangs from a spring and oscillates with a time period of $2\pi $ seconds. If the ball is removed, the length of the spring will decrease by
- [AIPMT 1994]
The force-deformation equation for a nonlinear spring fixed at one end is $F =4x^{1/ 2}$ , where $F$ is the force (expressed in newtons) applied at the other end and $x$ is the deformation expressed in meters
The force-deformation equation for a nonlinear spring fixed at one end is $F =4x^{1/ 2}$ , where $F$ is the force (expressed in newtons) applied at the other end and $x$ is the deformation expressed in meters