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Different points in the earth are at sli...

Different points in the earth are at slightly different distance from the sun and hence experience different force due to gravitation. For a rigid body, we know that if various forces act at various points in it, the resultant motion is as if a net force acts on the `CM` (centre of mass) causing translation and a net torque at the `CM` causing rotation around an axis through the `CM`. for the earth-sun system (approximating the earth as a uniform density sphere).

A

the torque is zero

B

the torque causes the earth to spin

C

the rigid body result is not applicable since the earth is not even approximately a rigid body

D

the torque causes the earth to move around the sun

Text Solution

Verified by Experts

The correct Answer is:
A

As the earth is revolving around the sun in a circular motion due to gravitational attraction. The force of attraction will be of radial nature i.e. angle between position vector `r` and force `F` is zero. So, torque=`|tau|=|rxxF|=rFsin0^(@)=0`
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