SHMMedium
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 blocks masses 3 kg and kg rest on a horizontal smooth surface . The 3 kg block is attached to a spring with a force ...A particle undergoes simple harmonic motion having time period T. The time taken in oscillation is...In a spring-mass system, the length of the spring is L and spring constant k and it has a mass M attached to it and osci...A particle is in linear simple harmonic motion between two points, A and B, 10 cm apart. Take the direction from A to B ...The potential energy of a particle of mass 1 kg in motion along the x-axis is given by : U = 4(1 - cos2x)J, where x is i...