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BITSAT Physics Oscillations 2021 BITSAT 2021

BITSAT Physics Question (2021) — Solution

Question

Four massless springs whose force constants are 2 k, 2 k, k and 2 k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction, then the frequency of the system is?

Options

  1. A. 1 2 k 4 M
  2. B. 1 k M
  3. C. 1 2 k 7 M
  4. D. 1 2 7 k M

Answer

B. 1 k M

Step-by-step solution

The equivalent system is shown in figure. The equivalent force constant of which k_ e =k+3 k=4 k = k_ e m = 4 k m =2 k m and f = 2 = 2 2 k m = 1 k m

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