Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
BITSAT2021PhysicsOscillationsActual

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. A1 2 k 4 M
  2. B1 k M
  3. C1 2 k 7 M
  4. D1 2 7 k M

Correct 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

Practice Oscillations on Quantrex Academy →

More from Oscillations

Five identical springs are used in the three configurations as shown in figure. The time periods of vertical oscillations in configurations (a), (b) and (c) are in the ratio. 2024A particle executes simple harmonic motion between x=-A and x=+A . If time taken by particle to go from x=0 to A 2 is 2 s ; then time taken by particle in going from x= A 2 to A is 2024A simple pendulum doing small oscillations at a place R height above earth surface has time period of T₁=4 ~s . T₂ would be it's time period if it is brought to a point which is at 2024The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement (x) starting from mean position to extreme position (A) is given by 2023A particle executes SHM of amplitude A. The distance from the mean position when it's kinetic energy becomes equal to its potential energy is 2023In a resonance column first and second resonance are obtained at depths 24 ~cm and 78 ~cm the third resonance will be obtained at depth. 2022In a simple pendulum of length I the bob is pulled aside from its equilibrium position through an angle and then released. The bob passes through the equilibrium position with spee 2021Frequency of oscillation is proportional to 2020 Full Oscillations list All BITSAT PYQs