The displacement of an elastic wave is given by the function `y=3sin omegat+4 cos omegat` where y is in cm and t is in second. Calculate the resultant amplitude.

The displacement of a particle is represented by the equation y = sin^3 omegat . The motion is

The displacement of a particle varies with time according to the relation y = alpha sin omegat + b cos omegat .

The displacement of a progressive wave is represented by y = A sin (omegat - kx) , where x is distance and t is time. Write the dimensional formula of k

The displacement of a particle is represented by the equations y = 3 cos (pi/4 - 2omegat) . The motion of the particle is

The displacement of a progressive wave is represented by y = A sin (omegat - kx) , where x is distance and t is time. Write the dimensional formula of omega

The displacement of a particle is given by x = (t-2)^2 where x is in metres and t in seconds. The distance covered by the particle in first 4 seconds is

The displacement vector of a partical of mass m is given by vecr(t) = hat iA cos omega t + hatj B sin omegat . Show that the trajectory is an ellipse.

The displacement vector of a partical of mass m is given by vecr(t) = hat iA cos omega t + hatj B sin omegat . Show that vecF = - momega^2vecr

The equation of a simple harmonic wave is given by y=3 sin pi/2 (50 t-x) where x and y are in mtres and t is in seconds.The ratio of maximum particle velocity to the wave velocity is :

The displacemnt of a particle inS.H.M. may be given by y = r sin (omegat + phi_0) . Show that if the time t is increased by (2pi)/omega the value of y remains unchanged.