An unloaded Hummer has a standard ground clearance of 40cm, and an unloaded mass of 2000kg. The current ground clearance is 30cm. Imagine you drive over rocks placed 30meters apart at 20m/s.
a) What is the frequency at which you are hitting the rocks?
The hummers shocks act like springs(F=-kx), and the frequency found in (a) is the resonant frequency, the same as the natural frequency of the springs.
b) What is the total mass of the hummer?
c) What is the amplitude of the bounce you need to clear 50cm?
d) Do you clear 50cm?