Mathematics · Oscillations
Consider a particle P executing uniform circular motion on a circle of radius B with a time period of 30 seconds. If the particle starts its motion at t = 0 from the positive y-axis (initial phase angle φ = π/2) and rotates clockwise, the simple harmonic motion of the x-projection of the radius vector is given by
- 1x(t) = B cos(πt15 + π2)
- 2x(t) = B sin(πt15 + π2)✓
- 3x(t) = B cos(πt15)
- 4x(t) = B sin(2πt30)
Correct answer
x(t) = B sin(πt15 + π2)
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