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⚛️ Physics  ·  Oscillations  ·  NEET & JEE

A spring of force constant 12 N/m is cut into three equal parts and all three parts are joined in parallel to support a block. The effective force constant is:

Answer: 108 N/m.

  • A 36 N/m
  • B 12 N/m
  • C 108 N/m
  • D 4 N/m

Correct answer: C. 108 N/m

Explanation: Each third has constant 3 × 12 = 36 N/m; three in parallel add: 3 × 36 = 108 N/m.

Displacement, Velocity, Acceleration in SHMx(t)v(t)a(t)v leads x by 90°; a is exactly out of phase with x (a = −ω²x)

In SHM, displacement and velocity are 90° out of phase (v is maximum when x=0, and zero when x is extreme), while acceleration is always exactly opposite in sign to displacement, consistent with a = −ω²x.

Concept context

Simple harmonic motion, spring-mass, pendulum, energy in SHM, and resonance.

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