HARD
11th West Bengal Board
IMPORTANT
Earn 100

The displacement of a simple harmonically vibrating particle when observation starts is given by x=5 sin 20t+π3 where x is in centimetre and t in second. When does the particle first have maximum speed?

Important Questions on Oscillations

EASY
11th West Bengal Board
IMPORTANT

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 3.0 cm and that of the second 4.0 cm. Find the resultant amplitude if the phase difference between the motions is 0°.

EASY
11th West Bengal Board
IMPORTANT

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 3.0 cm and that of the second 4.0 cm. Find the resultant amplitude if the phase difference between the motions is 30°.

EASY
11th West Bengal Board
IMPORTANT

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 3.0 cm and that of the second 4.0 cm. Find the resultant amplitude if the phase difference between the motions is 60°.

EASY
11th West Bengal Board
IMPORTANT

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 3.0 cm and that of the second 4.0 cm. Find the resultant amplitude if the phase difference between the motions is 90°.

MEDIUM
11th West Bengal Board
IMPORTANT
If the displacement of a moving particle at any time t is given by x=a cos ωt+b sin ωt, show that the particle is moving simple harmonically. If a and b are 3 cm and 4 cm respectively and ω=2, find the period, amplitude, maximum velocity and maximum acceleration of the particle.
MEDIUM
11th West Bengal Board
IMPORTANT

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 60 ahead of the first and the phase of the third motion is 60 ahead of the second.

HARD
11th West Bengal Board
IMPORTANT

Two simple harmonic motions, each of amplitude 10 cm and frequency 5 Hz, 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 π2. Find the radius of the circle and time period of the circular motion.

MEDIUM
11th West Bengal Board
IMPORTANT

A source having a frequency of 50Hz Produces cosine waves of wavelength 2 m and the maximum amplitude of vibration in that wave is 10 cm. Represent the equation of wave generated by this source, if this wave moves along -Y-axis and the vibration of particles are along X-axis.