Question

O rezolvare va rog!!

Answer 1

x₁=A₁cos(ωt+φ₁)

x₂=A₂cos(ωt+φ₂)

x=Acos(ωt+φ)

A²=A₁²+A₂²+2A₁A₂cosΔφ=2²+6²+2*6*2*cosπ/12=4+36+26*0,96=40+25=65=>A=√65≅8 cm

tgφ=(A₁sinφ₁+A₂sinφ₂)/(A₁cosφ₁+A₂cosφ₂)=(1,73+1,55)/(1+5,79)=3,28/6,79=0,48=>φ=arctg0,48

x=Acos(ωt+φ)<=>x=8cos(πt+arctg0,48)