Answer:
A = 5.727 cm
Explanation:
at time t = 0s the displacement of mass is 4.05 cm and velocity 4.12 m/s
we know that velcoity for simple harmonic motion is given as
[tex]v_o = \omega \sqrt {A^2 - Y_O^2}[/tex]
W KNOW THAT
[tex]\omega = \frac{v_0}{Y_o}[/tex]
Therefore we get
[tex]Y_O^2 = A^2 - Y_O^2[/tex]
[tex]A =\sqrt 2 * Y_O[/tex]
[tex]A =\sqrt 2 * 4.05\\[/tex]
A = 5.727 cm