SHMHard
Question
A particle moves along the X-axis according to the equation x = 10 sin3 (πt). The amplitudes and frequencies of component SHMs are
Options
A.amplitude 30/4, 10/4 ; frequencies 3/2, 1/2
B.amplitude 30/4, 10/4 ; frequencies 1/2, 3/2
C.amplitude 10, 10 ; frequencies 1/2, 1/2
D.amplitude 30/4, 10 ; frequencies 3/2, 2
Solution
x = 10 sin3(πt) ; 
⇒ x = 10
⇒ x =
sin πt − 
sin 3πt
So Amplitude =
, 
frequency = 1/2 , 3/2
⇒ x = 10
⇒ x =
sin πt − sin 3πtSo Amplitude =
, frequency = 1/2 , 3/2
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