
The displacement of a simple harmonically vibrating particle when observation starts is given by where is in centimetre and in second. When does the particle first have maximum speed?

Important Questions on Oscillations
A particle is subjected to two simple harmonic motions of the same time period in the same direction. The amplitudes of the first motion is and that of the second . Find the resultant amplitude if the phase difference between the motions is .

A particle is subjected to two simple harmonic motions of the same time period in the same direction. The amplitudes of the first motion is and that of the second . Find the resultant amplitude if the phase difference between the motions is .

A particle is subjected to two simple harmonic motions of the same time period in the same direction. The amplitudes of the first motion is and that of the second . Find the resultant amplitude if the phase difference between the motions is .

A particle is subjected to two simple harmonic motions of the same time period in the same direction. The amplitudes of the first motion is and that of the second . Find the resultant amplitude if the phase difference between the motions is .


Find the amplitude of the resultant motion. Three simple harmonic motions of equal amplitudes A and equal time periods in the same direction combine. The phase of the second motion is ahead of the first and the phase of the third motion is ahead of the second.

Two simple harmonic motions, each of amplitude and frequency , along two perpendicular directions superpose on each other. Show that the resultant motion would be along a circle if the phase difference between them is . Find the radius of the circle and time period of the circular motion.

A source having a frequency of Produces cosine waves of wavelength and the maximum amplitude of vibration in that wave is . Represent the equation of wave generated by this source, if this wave moves along and the vibration of particles are along .
