SHMEasy
Question
A particle execute simple harmonic motion between x = - A and x = + A. he time taken for it go to O to is T1 and go from to A is, then
Options
A.T1 < T2
B.T1 > T2
C.T1 = T2
D.T1 = 2T2
Solution
In SHM, velocity of particle also oscillates simple harmonically. Speed is more near the mean position and less near the extreme position. Therefore, the time taken for the particle to go it from O to will be less than the time taken to go it from to A, or T1 < T2.
Note : From the equation of SHM we can show that
t1 = TO - A/2 = T/12
and t2 = TA/2-4 = T/6
So, that t1 + t2 = TO - A = T/4
Note : From the equation of SHM we can show that
t1 = TO - A/2 = T/12
and t2 = TA/2-4 = T/6
So, that t1 + t2 = TO - A = T/4
Create a free account to view solution
View Solution FreeMore SHM Questions
A simple pendulum has a time period T1 when on the earth′s surface and T2 when taken to a height R above the earth...In SHM velocity is maximum:...Which of the graph between potential energy and time is correct ?...When two mutually perpendicular simple harmonic motions of same frequency, amplitude and phase are superimposed...A mass M, attached to a horizontal spring, executes S.H.M. with amplitude A1. When the mass M passes through its mean po...