As shown in the figure, a particle of mass m = 100 gm is attached with four identical springs, each of length l = 10 c m . Initial tension in each spring is F 0 = 25 N . Neglecting gravity, calculate the angular frequency (in rad s - 1 ) of small oscillations of the particle along a line perpendicular to the plane of the figure.

Question

As shown in the figure, a particle of mass m = 100 gm is attached with four identical springs, each of length l = 10 c m . Initial tension in each spring is F 0 = 25 N . Neglecting gravity, calculate the angular frequency (in rad s - 1 ) of small oscillations of the particle along a line perpendicular to the plane of the figure.,

MARKS App · Accepted Answer

For small x we can assume the tension in each spring to remain constant F = - 4 F 0 sin ⁡ θ ≈ - 4 F 0 x l a = - 4 F 0 m l x ω = 4 F 0 m l = 100 rad s - 1

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