The maximum velocity of a point undergoing simultaneous two oscillations given by `x_(1) =a cos wt` and `x_(2) = a cos 2 wt`is:

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 .

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 ?

State the direction of velocity of a particle with position vector given by bar r = {a cos wt} hati + a sin wt hatj .

The number of common roots of simultaneous equation cos 2 x + sin 2 x = cot x and 2 cos ^(2) x + cos ^(2) 2 x = 1 x in |-pi, pi|

The position co-ordinates of a particle moving in a 3-D coordinate system is given by x = a" cos"wt y = a" sin"wt and z=awt The speed of the particle is :

The position co-ordinates of a particle moving in a 3-D coordinate system is given by x = a" cos"wt y = a" sin"wt and z=awt The speed of the particle is :

The position co-ordinates of a particle moving in a 3-D coordinate system is given by x = a" cos"wt y = a" sin"wt and z=awt The speed of the particle is :

The maximum value of cos 2 x + cos^(2) x is

A particle which is simultaneously subjected to two perpendicular simple harmonic motions represented by , x = a_1 cos cot and y = a_2cos 2 cot traces a curve given by: