Two parallel S.H.M's are given by x1 = 2...

Two parallel S.H.M's are given by `x_1 = 20sin8pit` and `x_2 =10sin[8pi t +frac(pi)(6)]`. Find the resultant amplitude and phase.

Topper's Solved these Questions

Oscillations.
CHETANA PUBLICATION|Exercise EXERCISE|69 Videos
MECHANICAL PROPERTIES OF FLUIDS
CHETANA PUBLICATION|Exercise Exercise|91 Videos
Rational Dynamics
CHETANA PUBLICATION|Exercise 51|18 Videos

Similar Questions

Explore conceptually related problems

Two parallel S.H.M. s are given by , x _1 = 20 sin (8 (pi) t) and x_2 = 10 sin [8 (pi) t + (pi)/ 6] Find the resultant amplitude and initial phase of resultant S.H.M.

Two parallel S.H.M's represented by x_1 = 5sin [4pi t+frac(pi)(3)] cm x_2 = 3sin [4pi t _+frac (pi)(4)]cm are superposed on a particle.Determine the amplitude and epoch of the resultant S.H.M.

Two parallel S.H.M.s have equations y_1=A_1sin(omegat+2pi) and y_2=A_2sin(omegat+4pi) . The amplitude of the resultant motion is

The displacement of a particle linear S.H.M. is given by x = 6 sin [3(pi)t + 5(pi) /6] meter. Find amplitude, frequency and the phase constant of the motion .

Two S.H.M.s along the same straight line in the same direction and of the same period are given by the equations, x_1=3" "sin(4pit+pi/6) and x_2=4" " sin(4pit+pi/3) . The initial phase of the resultant motion is

The S.H.M.s of two particles are given by y_(1)=10 "sin" [2pi t +(pi)/(6)] " and " y_(2) =5["sin" 2pi t + sqrt(3) "cos" 2 pi t] The ratio of their amplitudes is

Discuss analytically the composition of two S.H.M.'s of same period and parallel to each other . Find the resultant amplitude when phase difference is pi

Discuss analytically the composition of two S.H.M.'s of same period and parallel to each other . Find the resultant amplitude when phase difference is pi /3 radians

Discuss analytically the composition of two S.H.M.'s of same period and parallel to each other . Find the resultant amplitude when phase difference is 0

CHETANA PUBLICATION-Oscillations.-EXERCISE

Two parallel S.H.M's are given by x1 = 20sin8pit and x2 =10sin[8pi t +...
Text Solution
|
A bar magnet is vibrating in a uniform magnetic induction, the magnitu...
Text Solution
|
A bar magnet is vibrating in a uniform magnetic induction, the magnitu...
Text Solution
|
A bar magnet ,freely suspended in a magnetic induction H makes 20 osci...
Text Solution
|
A bar magnet of moment 2 Am^2 and having a moment of inertia 10^-6 kg-...
Text Solution
|
The period of a simple pendulum is found to increase by 50%, when the ...
Text Solution
|
The maximum velocity of a particle performing S.H.M is 6.28 frac(cm)(s...
Text Solution
|
Determine the length of a seconds pendulum at a place, where the accel...
Text Solution
|
A particle performs S.H.M of amplitude 10 cm. Its maximum velocity dur...
Text Solution
|
A particleis performinglinearS.H.Mof amplitude a. What fraction of the...
Text Solution
|
A spring of a negligible mass is stretched by a force of 20 g wt throu...
Text Solution
|
A particle executing S.H.M. has velocities v1 and v2 when at distances...
Text Solution
|
Any motion which repeats itself after a definiteinterval of time is ca...
Text Solution
|
If the force constant is 10 towards negative X-axis , a body of mass 0...
Text Solution
|
A particle of mass 200 gm, performs S.H.M ofamplitude 0.1 m and period...
Text Solution
|
A particle of mass 200 gm, performs S.H.M ofamplitude 0.1 m and period...
Text Solution
|
For 'n' no of (massless) springs in series, the effective value of the...
Text Solution
|
For 'n' no of (massless) springs in series, the effective value of the...
Text Solution
|
The state of oscillation of a particle, that gives displacement and di...
Text Solution
|
When we graphically represent velocity from the mean position at frac(...
Text Solution
|