Question

The two graphs in Figure P51 are for two different vertical mass-spring systems. a. What is te frequency of system A? What is the first time at which the mass has maximum speed while traveling in the upward direction? b. What is the period of system B? what is the first time at which the mechanical energy is all potential? c. If both systems have he same mass, what is the ration KA/KB of their spring constants?

Answer 1

I have no idea

Answer 2

A. If you're not given a sinuisodal graph of the amplitudes then know that for any spring in SHM the period is \(T=2\pi\sqrt{\frac{m}{k}}\)
Find the period and then use that to find frequency. \(f^{-1}=\frac{1}{T}\)

Otherwise use the graph and find cycles/second and units are hz

A. CONTD. ok you're probably given the graph. Maximum speed is where there is zero displacement. Where is the displacement 0 on the graph? Node or antinode?

B. \(f^{-1}=\frac{1}{T}\)

C. Greatest PE is when the spring is stretched to the max, or the greatest displacement. Where is that? Node or antinode?

D. It's a simple harmonic so \(T=2\pi\sqrt{\frac{m}{k}}\)
You already know your T values so plug them in and know that \(m_a=m_b\), hence....

Solve for ma and mb and you would have
\(k_a \frac{T}{(2\pi)^2}=m_a\)
\(k_b \frac{T}{(2\pi)^2}=m_b\)
Set them to each other and solve for \(\frac{k_a}{k_b}\), then plug in your Ta and Tb values.

Answer 3

What GRADE are they TEACHING YOU THIS?!

Answer 4

I'm only in NINTH GRADE SIR I DO NOT UNDERSTAND THIS SORCERY

Answer 5

Oh well xd Just enjoy life :)

Answer 6

Mkay thank you.