The car bumper is made of polycarbonate-polybutylene terephthalate. If E = 2.0 GPa, determ...

The car bumper is made of polycarbonate-polybutylene terephthalate. If E = 2.0 GPa, determine the maximum deflection and maximum stress in the bumper if it strikes the rigid post when the car is coasting at v = 0.75 m/s. The car has a mass of 1.80 Mg, and the bumper can be considered simply supported on two spring supports connected to the rigid frame of the car. For the bumper take I = 300(106) mm4, c = 75 mm, σY = 30 MPa and k = 1.5 MN/m.