A car weighs 1800 , ,kg . The distance between its front and back… - Vidyadip

MCQ

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. Force exerted by the level ground on each front wheel is ........ $N.$

✓
$3750$
B
$7350$
C
$5145$
D
$10290$

✓

Answer

Correct option: A.

$3750$

a
Taking torque about point $B$

$\mathrm{N}_{1} \times 1.8=1800 \mathrm{g} \times 0.75$

$\mathrm{N}_{1} \times 1.8=\frac{1800 \times 10 \times 0.75}{1.8}$

$\mathrm{N}_{1}=7500 \mathrm{N}$

Force exerted by ground on each front wheel

$=$$\frac{\mathrm{N}_{1}}{2}=3750 \mathrm{N}$

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