SHMHard
Question
The graph shows the variation of displacement of a particle executing S.H.M with time We inference from this graph that : -
Options
A.the force is zero at time 
B.the velocity is maximum at time 
C.the acceleration is maximum at time T
D.the P.E. is equal to half of total energy at time
Solution
For (A) : at t = 
, particle at extreme position
∵ a = - ω2x ∴ F ≠ 0
For (B) : at t = T/2, particle at meat position
v = ωA(maximum)
For (C) : at t = T particle at mean position
⇒ a = - ω2x = 0
For (D) : at t = T / 2, particle at mean position
so x = 0 ⇒ U =
kx2 = 0
, particle at extreme position ∵ a = - ω2x ∴ F ≠ 0
For (B) : at t = T/2, particle at meat position
v = ωA(maximum)
For (C) : at t = T particle at mean position
⇒ a = - ω2x = 0
For (D) : at t = T / 2, particle at mean position
so x = 0 ⇒ U =
kx2 = 0Create a free account to view solution
View Solution FreeMore SHM Questions
A simple pendulum is suspended from the roof of a trolley which moves in a horizontal direction with an acceleration a, ...The displacement of a particle along the x axis is given by x = a sin2 ωt . The motion of the particle corresponds ...The displacement of a particle executing periodic motion is given by y = 4 cos2 (0.5t) sin (1000 t). The given expressio...A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic ...A particle is describing SHM with amplitude ′a′. When the potential energy of particle is one fourth of the ...