A spring mass system is executing simple harmonic motion. The equation of  motion is given by  y=8sinωt+6cosωt. The amplitude of the resultant is

resultant amplitude=R=a2+b2+2abcosϕ here a, b are amplitudes,  ∅ is phase differenceThe given equation can be written as  y=8sinωt+6sinωt+π2Here ϕ=π2; a=8; b=6, substituteR=82+62+2×8×6cosπ2 R=82+62 R=64+36 R=100=10   units