A car weighs 1800 kg the …
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Sia ? 5 years, 11 months ago
Weight of car = 1800 Kg

Distance of COG from front axle = 1.05 m
Distance of COG from back axle = 1.8 - 1.05 = 0.75 m
Vertical forces are balanced ,
So,At translational equilibrium:
R1 + R2 = mg
R1 + R2 = 1800 {tex}\times{/tex} 9.8 = 17640
R1 and R2 are the forces exerted by the level ground on the front and back wheels respectively.
Angular momentum about centre of gravity is zero.
So,
R1(1.05) = R2(1.8 - 1.05)
{tex}R _ { 1 } \times 1.05 = R _ { 2} \times 0.75{/tex}
{tex}\frac { R _ { 1 } } { R _ { 2 } } = \frac { 0.75 } { 1.05 } = \frac { 5 } { 7 }{/tex}
{tex}\frac { R _ { 1 } } { R _ { 2 } } = \frac { 7 } { 5 }{/tex}
R1 = 1.4 R2 …..(ii)
Solving equations (i) and (ii), we get:
1.4 R2 + R2 = 17640
{tex}R _ { 2 } = \frac { 17640 } { 2.4 } = 7350 \mathrm { N }{/tex}
{tex}\therefore{/tex} R1 = 17640 - 7350 = 10290 N
Therefore, the force exerted on each front wheel {tex}=\frac { R_1 } { 2 }= \frac { 7350 } { 2 } = 3675 N{/tex}, and
The force exerted on each back wheel {tex}= \frac { R_2 } { 2 }=\frac { 10290 } { 2 } = 5145 N{/tex}
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