All Problems

Mechanical Oscillations

Problem 4.4

Find the angular frequency and the amplitude of harmonic oscillations of a particle if at distances x1x_{1} and x2x_{2} from the equilibrium position its velocity equals v1v_{1} and v2v_{2} respectively.

Reveal Answer
ω=(v12−v22)/(x22−x12);a=(v12x22−v22x12)/(v12−v22)\omega=\sqrt{\left(v_{1}^{2}-v_{2}^{2}\right) /\left(x_{2}^{2}-x_{1}^{2}\right)} ; a=\sqrt{\left(v_{1}^{2} x_{2}^{2}-v_{2}^{2} x_{1}^{2}\right) /\left(v_{1}^{2}-v_{2}^{2}\right)}
Prev
Next