Answer to Question #183966 in Mechanics | Relativity for April Mae

Question

The period of oscillation of an object in an ideal spring and mass system is 0.50 s and the amplitude is 5 cm. Determine the velocity of the body at the equilibrium point

Answer 1

Solution.

$T=0.50s;$

$x_{max}=5cm=0.05m;$

$v_{max}-?;$

$v_{max}=\omega x_{max};$

$\omega = \dfrac{2\pi}{T};$

$\omega=\dfrac{2\sdot3.14 }{0.50s}=12.56s^{-1};$

$v_{max}=12.56s^{-1}\sdot0.05m=0.628m/s;$

Answer: $v_{max}=0.628m/s.$