#1- A .3kg osscilator has a speed of .954m/s when its displacement is .03m and a speed of .714m/s when its displacement is .06m. What is the Maximum speed of the osscilator? I have no idea where to start on this one all I know are the formulas I need a hint.(adsbygoogle = window.adsbygoogle || []).push({});

Formulas: [tex] v_{max} = \omega A [/tex]

[tex] x(t) = A\cos (\omega t + \phi_0) [/tex]

[tex] v_x(t) = -\omega A\sin (\omega t + \phi_0) [/tex]

#2- A small block (1kg) is on top of a bigger block(5kg) and they are osscilating on a spring of k= 50N/m with a period of 1.5s on a frictionless table. When the amplitude is increased to .4m the small block begins to slip. What is the coefficient of static friction in between the two blocks.

This didn't seem that hard to me. When the block just begins to slip, static friction would be eual and opposite to the force from the spring so:

[tex] F_{sp} = f_s [/tex]

[tex] -kx = \mu_s mg [/tex]

[tex] \frac{-ks}{mg} = \mu_s [/tex]

When I fill in the numbers here i get a [tex]\mu_s[/tex] value of 2.04 which can't be right so whats wrong with my reasoning? Also I seem to be having alot of problems trying to teach myself osscilatory motion. I understand the theory well enough but doing the problems is another story altogether. If anyone has any advice or any good mathmatical methods to remember when doing these problems, please post them They'll be greatly appreciated.

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# Homework Help: Two Problems About Osscilations

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