Question

For a SHM with given angular frequency, two arbitrary initial conditions are necessary and sufficient to determine the motion completely.These initial conditions may be

• A. Amplitude and initial phase
• B. Amplitude and total energy of oscillation
• C. Initial phase and total energy of oscillation
• D. Initial position and initial velocity

Answer 1

Answer: (A)

Amplitude and initial phase

Description of motion is completely specified if we know the variation of $x$ as a function of time. For a simple harmonic motion, the general equation of motion is $x=A(\omega t+\delta )$. As $\omega$ is given, to describe the motion completely, we need the values of $A$ and $\delta$.
For option (a), we can find $A$ and $\delta$ if we know initial velocity and initial position. Option (c) cannot give the values of $A$ and $\delta$ so it is not the correct condition.