Question

HELP!!!!!
Suppose a graph of weight vs displacement has a slope of 2.36 units and an oscillating cart has a weight of 36 N. What is the resonance frequency of the cart?

Answer 1

HInt:
we need to know how many meters are 1 unit.
After that if I call with \(\delta\) the displacement, with \(g\) the gravity, and with \(\omega\) the resonance frequency, then I can write at equilibrium:
\[\Large mg = k\delta \]
then:
\[\Large {\omega ^2} = \frac{k}{m} = \frac{g}{\delta }\]