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
Create a free account to view solution
View Solution FreeMore SHM Questions
Two particles execute S.H.M. of same amplitude and frequency along the same straight line from same mean position. They ...A mass of 0.2 kg is attached to the lower end of a mass less spring of force-constant 20 N/M, the upper end of which is ...In question 35 which of the graph between K.E. and time is correct ?...The maximum velocity of a particle, executing simple harmonic motion with an amplitude 7 mm, is 4.4 m/s. The period of o...The speed v of a particle moving along a straight line, when it is at a distance (x) from a fixed point of the line is g...