I know there's no simple harmonic motion per se, but you still get
F_{net}=ma
-F_{fric}=m\frac{d^{2}x}{dt^{2}}
-\frac{mg\mu}{L}x=m\frac{d^{2}x}{dt^{2}}
-\frac{g\mu}{L}x=\frac{d^{2}x}{dt^{2}}
Which still satisfies the SHM diff eq. That was how we were taught to solve a similar problem, but it...
I did the first part like this:
Ffric = (mu)*Fn where Fn is the normal force of the portion of the block, x, on the rough surface.
So Ffric=(mu)*mg/L*x
-mg(mu)*x/L = m*(x'') <---- second deriv of x
So the x(t) equation satisfies simple harmonic motion a= -omega^2*x
x(t) =...
[SOLVED] A block hits a patch of friction
A block of uniform density, length L and height h << L, starts from rest at the top of a hill of height H, slides down. At the bottom there is a flat surface of length greater than L, and then a rough patch with sliding coefficient \mu
I figured...