Physics

Physics

Problem

A particle executing SHM is described by x=Acos⁡(2t+ϕ)x = A\cos(2 t + \phi), where xx is in metres and tt in seconds. If at t=0t=0 the particle has displacement 0.0866 m0.0866\,\text{m} and velocity 0.10 m s−10.10\,\text{m s}^{-1}, the correct equation of motion is a) x=0.10 cos⁡ ⁣(2t+π6)x = 0.10\,\cos\!\left(2 t + \dfrac{\pi}{6}\right) b) x=0.05 cos⁡ ⁣(2t−π6)x = 0.05\,\cos\!\left(2 t - \dfrac{\pi}{6}\right) c) x=0.10 cos⁡ ⁣(2t−π6)x = 0.10\,\cos\!\left(2 t - \dfrac{\pi}{6}\right) d) x=0.0866 cos⁡ ⁣(2t)x = 0.0866\,\cos\!\left(2 t\right)

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