Systems of Particles and Rotational Motion
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Question : 9
Total: 33
A car weighs 1800 kg. The distance between its front and back axles is 1.8 m. Its centre of gravity is 1.05 m behind the front axle. Determine the force exerted by the level ground on each front wheel and each back wheel.
Solution:
M = 1800 kg
LetR 1 R 2
∴ R 1 + R 2 = M g = 1800 × 9.8
Taking moment about C.G.,
R 1 × 1.05 = R 2 × 0.75 R 1 =
R 2
∴
R 2 + R 2 = 1800 × 9.8 R 2 = 10290 N
So force on each back wheel=
= 5145 N
∴ Force on each front wheel=
= 3675 N
Let
Taking moment about C.G.,
So force on each back wheel
∴ Force on each front wheel
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