AP EAMCET202123 Aug 2021Evening ShiftPhysicsOscillationsActual
A particle of mass m is under an influence of a force F = (-k x + F ₀ ) N . The particle when disturbed will oscillate
Options
- Aabout x=0 with = k m
- Babout x=0 with = m k
- Cabout x= F₀ k with = k m
- Dabout x= F₀ k with k m
Correct answer
C. about x= F₀ k with = k m
Step-by-step solution
Given that, Mass of particle =m Restoring force, F = (-k x + F ₀ ) N aligned & =-k (x- F ₀ k ) & =-k y [ Take, x- F ₀ k =y ] aligned Which is SHM. We know that, at the mean position, y=0x- F ₀ k =0 x= F ₀ k F=m a m a=-k ym (- ^2 y )=-k y = k m Frequency of SHM, = k m