SHMHard
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
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