Two particles of mass $m$ are constrained to move along two horizontal frictionless rails that make an angle $2\theta $ with respect to each other. They are connected by a spring with spring constant $k$ . The angular frequency of small oscillations for the motion where the two masses always stay parallel to each other (that is the distance between the meeting point of the rails and each particle is equal) is
Two particles of mass $m$ are constrained to move along two horizontal frictionless rails that make an angle $2\theta $ with respect to each other. They are connected by a spring with spring constant $k$ . The angular frequency of small oscillations for the motion where the two masses always stay parallel to each other (that is the distance between the meeting point of the rails and each particle is equal) is
- A
$\sqrt {\frac{{2k}}{m}} $
- B
$\sqrt {\frac{{2k}}{m}} \sin \theta $
- C
$\sqrt {\frac{{2k}}{m}} \cos \theta $
- D
$\sqrt {\frac{k}{{2m}}} \sin \theta $
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