A crate with dimension 12 x 10 x 4in and a mass of 120 lbs slides on an inclined plane of dimension 80 x 10 x 3in. Answer the following questions:
1. Model the system in ADAMS without friction and compare your result with the analytical solution.
2. Model the system in ADAMS with friction coefficients, μs=0.4 and μd= 0.3 and find the minimum inclination that will ensure that a crate slides off an inclined plane. Find the value of the crate's constant acceleration. compare and verify your result with the analytical solution.
3. For the previous part, simulate the model for an end time of 0.5 seconds and plot the create acceleration vs. time. Show all the calculations and results clearly.