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COMEDK2021PhysicsOscillations

Two spring of force constant k₁ and k₂ are configured as the figure given below The angular frequency of this configuration is

Options

  1. Ak₁+k₂ m
  2. Bk₁+k₂ m
  3. Ck₁ k₂ m
  4. Dk₂ m k₁

Correct answer

B. k₁+k₂ m

Step-by-step solution

In the given configuration, the block of mass m is connected to two springs with force constants k₁ and k₂ on either side. When the block is displaced by a small distance x from its equilibrium position, one spring is compressed by x and the other is stretched by x . The restoring force exerted by the first spring is F₁ = -k₁x and the restoring force exerted by the second spring is F₂ = -k₂x . Both forces act in the same direction, opposing the displacement. The total restoring force F acting on the block is F = F₁

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