The rotating parts of a front wheel assembly of a car have a total mass of 35 kg and are measured to be out of balance. The unbalance can be corrected by attaching a 150 g weight to the 375 mm diameter wheel rim. The tire has a diameter of 700 mm. The car springs have a modulus of 50 N/mm and the tire has a modulus of 600 N/mm for small deflection. If the correction is not made, at what car speed will resonant vibration of the wheel occur? What would the amplitude of the motion be when the car's speed is 130 km/h?