Assuming all pulleys, springs and string massless. Consider all surface smooth. Choose the correct statement $(s)$
Assuming all pulleys, springs and string massless. Consider all surface smooth. Choose the correct statement $(s)$
- A
The angular frequency for small oscillation of the system is $\sqrt \frac{K}{3m}$
- B
The angular frequency for small oscillation of the system is $\sqrt \frac{4K}{33m}$
- C
The elastic potential energy of system at equilibrium is $\frac{33m^2g^2}{4K}$
- D
The elastic potential energy of system at equilibrium is $\frac{3m^2g^2}{2K}$
Similar Questions
In figure $(A),$ mass ' $2 m$ ' is fixed on mass ' $m$ ' which is attached to two springs of spring constant $k$. In figure $(B),$ mass ' $m$ ' is attached to two spring of spring constant ' $k$ ' and ' $2 k$ '. If mass ' $m$ ' in $(A)$ and $(B)$ are displaced by distance ' $x$ ' horizontally and then released, then time period $T_{1}$ and $T_{2}$ corresponding to $(A)$ and $(B)$ respectively follow the relation.
In figure $(A),$ mass ' $2 m$ ' is fixed on mass ' $m$ ' which is attached to two springs of spring constant $k$. In figure $(B),$ mass ' $m$ ' is attached to two spring of spring constant ' $k$ ' and ' $2 k$ '. If mass ' $m$ ' in $(A)$ and $(B)$ are displaced by distance ' $x$ ' horizontally and then released, then time period $T_{1}$ and $T_{2}$ corresponding to $(A)$ and $(B)$ respectively follow the relation.
- [JEE MAIN 2022]
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