Fixed
k
m
?
x
Question:
The block has a mass of 250 kg. The coefficient of kinetic friction between the block and the inclined
plane is $\mu_k$ = 0.75. Four different cases of the angle of the inclined plane, $\theta$, must be used ($0^\circ$, $10^\circ$, $40^\circ$,
and $75^\circ$).
For each case of $\theta$, determine the smallest value to within 100 N/m of spring constant, $k$, that can be
used to keep the maximum displacement within 0.25 m of the equilibrium position, if the block
experiences an initial velocity of 5 m/s down the slope from the equilibrium position.
Use times from 0 to 3 seconds
Part A:
• In the command window, your script should nicely display a list of spring constants with the
corresponding values of $\theta$, e.g. "For an angle of 30 degrees, k = 100 N/m"
Part B:
• Plot the displacement and velocity of the block for the selected values of $k$ for each angle on the
same figure, i.e. one figure with subplots for displacement and velocity. Each of the plots must
contain 4 lines, one for each case of $\theta$. Include a legend in each plot
