A particle executes simple harmonic motion of amplitude `A` along the x - axis. At `t = 0`, the position of the particle is `x = (A)/(2)` and it moves along the positive x - direction. Find the phase constant `delta`, if of the equation is written as `x = Asin (omega t + delta)`.

Explanation

To solve the problem, we need to find the phase constant \(\delta\) for a particle executing simple harmonic motion (SHM) described by the equation:

\[ x = A \sin(\omega t + \delta) \]

Given that at \(t = 0\), the position of the particle is \(x = \frac{A}{2}\) and it is moving in the positive x-direction, we can follow these steps:

...