(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A large block with mass 30 kg executes horizontal simple harmonic motion as it slides across a frictionless surface with a frequency of .75 Hz. A smaller block with mass 10 kg rests on it, as shown in the figure, and the coefficient of static friction between the two is mu_s=.6

What maximum amplitude of oscillation can the system have if the top block is not to slip? the acceleration of gravity is 9.8m/s^2. Answer in units cm

In the picture, there is a block on a frictionless surface attached to a wall by a horizontal spring. the block on the surface has another block on top of it, and the coefficient of static friction between the two is given.

2. Relevant equations

freq = omega/2pi

vmax=omega*Amplitude

friction_s_max=mu*mg

a_x=friction_s_max/m=mu*g

3. The attempt at a solution

I've taken the frequency times 2pi to find omega. using the above equation for a_x, I used mass*a_x to find the velocity, vmax.

Then I plugged in values for vmax and omega to solve for Amplitude. Unfortunately that gave me the wrong answer. Where is my approach wrong?

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# Homework Help: Amplitude and coefficient of friction problem

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