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A partially loaded passenger car has a mass of 1600 kg. It has fully independent suspension in which each front spring has a stiffness of 19.0 kNm-1 and each rear spring has a stiffness of 17.0 kNm-1.
The car has a wheelbase of 2.9 m and the centre of gravity is 1.6 m in front of the rear wheels. The radius of gyration of the sprung mass about a horizontal transverse axis through the centre of gravity is 0.95 m.
Model the car as a linear, undamped, 2 degree of freedom system, ignoring tyre stiffness, and calculate:
(a) The natural frequencies for the two modes of vibration.
(b) The positions of the pitch centres for each of these modes relative to the centre of gravity.
Can you help me with what goes into 54
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