Question

Block - coil

Answer 1

system in a spring-block, the elastic constant of the spring goes 25N/meo block moves along the axis X, so that its position is given in SI units, by 0.40 cos([pi] t) calculate:
a) the mass of the block
b) the kinetic energy of the block when it passes through the position of equilibrium
c) the time spent by the block to go from one extreme to another trajectory
\[\pi\]

Answer 2

\(\omega_0=\pi=\sqrt {\Large \frac km}\) then \(m=\Large \frac {k}{\omega_0^2}\)

Answer 3

\[\omega_0^2\] i dont know

Answer 4

\(\pi^2\)

Answer 5

sorry, still do not understand, can discriminate the values ​​in the formula?

Answer 6

In the given formula, 0.4 m is the amplitude of oscillation and \(\pi\) is the angular frequency of the harmonic motion.

\(m=\Large \frac {k}{\omega_0^2}=\frac{25}{\pi^2}\normalsize =2.53\;kg\)