x1 = √7 sinωt x2 = 2√ 7 sin (ωt + π/3) Find magnitude of max. acceleration of particle if it travels according to superposition

Question

\(x_1 = \sqrt{7}\sin \omega t\)

\(x_2 = 2\sqrt{7}\sin (\omega t + \pi / 3)\)

Find magnitude of max. acceleration of particle if it travels according to superposition of two SHM’s.

(1) \(7\omega ^2\)

(2) \(5 \omega ^2\)

(3) \(\omega^2\)

(4) \(4\omega ^2\)

Answer 1

Correct option is : (1) \(7\omega ^2\)

\(x_{net} = 7\sin (\omega t+ \phi )\)

\(a_{net} = -7\omega ^2 \sin (\omega t+\phi)\)

\(|a_{max}| =7\omega^ 2\)