Home
Class 11
PHYSICS
A particle of mass 50 g participates in ...

A particle of mass `50 g` participates in two simple harmonic oscillations simultaneously as given by `x_(1) = 10 (cm) cos [80 pi(s^(-1))t]` and `x_(2) = 5(cm) sin [(80 pi(s^(-1))t + pi//6]`. The amplitude of particle's oscillations is given by 'A'. Find the value of `A^(2) (in cm^(2))`.

Promotional Banner

Similar Questions

Explore conceptually related problems

Two simple harmonic motions are given by y_(1) = a sin [((pi)/(2))t + phi] and y_(2) = b sin [((2pi)/( 3))t + phi] . The phase difference between these after 1 s is

Two simple harmonic motions are represented by y_(1)=5 [sin 2 pi t + sqrt(3)cos 2 pi t] and y_(2) = 5 sin (2pit+(pi)/(4)) The ratio of their amplitudes is

The displacement of a particle is given by x = 3 sin ( 5 pi t) + 4 cos ( 5 pi t) . The amplitude of particle is

Find the amplitude of the harmonic motion obtained by combining the motions x_(1) = (2.0 cm) sin omega t and x_(2) = (2.0 cm) sin (omega t + pi//3) .

The displacements of two linear simple harmonic oscillators are given by x_(1)=3 "sin" (100 t+ theta) " and " x_(2)=4 "cos" (100 t) . What is the phase difference between the velocities of these oscillators ?

A particle is subjected to two simple harmonic motions given by x_(1) = 2.0sin (100 pi t) and x_(2) = 2.0sin (120pi t + pi //3) where, x is in cm and t in second. Find the displacement of the particle at (a) t = 0.0125 , (b) t = 0.025 .

A point participates simultaneously in two harmonic oscillations of the same direction :x_(1) =a cos omega t and x_(2)=a cos 2 omega t. Find the maximum velocity of the point .

Two waves passing through a region are respresented by y_(1) = 5 mm sin [(2pi cm^(-1))x - (50 pis^(-1))t] and y_(2) = 10 mm sin [(pi cm^(-1))x - (100 pis^(-1))t] Find the displacement of the particle at x = 1 cm at time t = 5.0 ms .

Two waves passing through a region are respresented by y_(1) = 5 mm sin [(2pi cm^(-1))x - (50 pis^(-1))t] and y_(2) = 10 mm sin [(pi cm^(-1))x - (100 pis^(-1))t] Find the displacement of the particle at x = 1 cm at time t = 5.0 ms .

Two simple harmonic motions are represented by the equations : x_1 = 5 sin (2 pi t + pi//4 ) , x_2 = 5^(2) (sin2 pi t + cos2 pi t) What is the ratio of their amplitudes ?