a point mass oscillates along the x-axis according to the law x=xₒcos (wt - /4) if the acceleration of the - Physics - Waves

Question

a point mass oscillates along the x-axis according to the law
x=xₒcos (wt -π/4) if the acceleration of the particle is
written as a = A cos(wt + δ) then A = and δ = ?

Ujjval Chauhan · Accepted Answer

Dear student

Given that x=xocosωt-π4so v=dxdt=-xoωsinωt-π4again differentiatinga=dvdt=-xoω2cosωt-π4a=-xoω2cosωt-π4absorbing the negative sign in cosine term ascosωt-π4+π=-cosωt-π4so -cosωt-π4=cosωt+3π4a=xoω2cosωt+3π4Thus on comparison A=xoω2    and δ=3π4

a point mass oscillates along the x-axis according to the law x=xₒcos (wt -π/4).if the acceleration of the particle is written as a = A cos(wt + δ) then A = and δ = ?