The front-end suspension of an automobile is shown. Each of the coil springs has a stiff...

The front-end suspension of an automobile is shown. Each of the coil springs has a stiffness of 270 lb/in. If the weight of the front-end frame and equivalent portion of the body attached to the front end is 1800 lb, determine the natural frequency of vertical oscillation of the frame and body in the absence of shock absorbers. (Hint: To relate the spring deflection to the deflection of the frame and body, consider the frame fixed and let the ground and wheels move vertically.)