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 the equation is written as `x=Asin(omegat+delta)`

Explanation

To find the phase constant \( \delta \) for a particle executing simple harmonic motion (SHM) described by the equation \( x = A \sin(\omega t + \delta) \), we can follow these steps:

### Step 1: Substitute the given values into the equation
At time \( t = 0 \), the position of the particle is given as \( x = \frac{A}{2} \). We can substitute this into the equation:

\[ \frac{A}{2} = A \sin(\omega \cdot 0 + \delta) \]
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