JEE Main202124 Feb 2021Morning ShiftPhysicsOscillationsActual
In the given figure, a mass M is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is k . The mass oscillates on a frictionless surface with time period T and amplitude A . When the mass is in equilibrium position, as shown in the figure, another mass m is gently fixed upon it. The new amplitude of oscillation will be:
Options
- AA M + m M
- BA M M - m
- CA M - m M
- DA M M + m
Correct answer
D. A M M + m
Step-by-step solution
Momentum of system remains conserved. p i = p f M A ω = m + M A ' ω M A k M = m + M A ' k m + M A ' = A M M + m