Calculate the amplitude, angular frequency, frequency, time period and initial phase for the simple harmonic oscillation given below:
(a) `y=0.3sin(40pit+1.1)` (b) `y=2cos(pit)` (c ) `y=3sin(2pit-1.5)`

Find the period and amplitude of y=-sin((1)/(3)x)

Which of the following functions of time represent (a) simple harmonic, (b) periodic but not simple harmonic, and (c) non-periodic motion? Give period for each case of periodic motion ( omega is any positive constant): (a) sinomegat-cosomegat (b) sin^(3)omegat (c) 3cos(pi//4-2omegat) (d) cosomegat+cos3omegat+cos5omegat (e) exp(-omega^(2)t^(2)) (f) 1+omegat+omega^(2)t^(2)

Which of the following functions of time represent (a) simple harmonic motion and (b) periodic but not simple harmonic? Give the period for each case. (1) sinomegat-cosomegat (2) sin^(2)omegat

Find the derivative of y = 3 sin^3 (2x^4 + 1) .

The displacement equation of an oscillator is y=5sin(0.2pit+0.5pi) in SI units. The time period of oscillation is……………….

The motion of a particle executing simple harmonic motion is described by the displacement function, x(t)=Acos(omegat+phi) . If the initial (t = 0) position of the particle is 1 cm and its initial velocity is omega cm/s, what are its amplitude and initial phase angle ? The angular frequency of the particle is pi s^(-1) . If instead of the cosine function, we choose the sine function to describe the SHM : x = B sin (omegat + alpha) , what are the amplitude and initial phase of the particle with the above initial conditions.