1.

Different pounts in the earth are at slightly different distances from the sun and hence experience different forces due to gravitation. For a rigid body, we know that if various forces act at various points in it, the resulant motion is as if 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)

Answer»

the torque is zero
the torque causes the EARTH to spin
the rigid body RESULT is not applicable since the earth is not EVEN approximately a rigid body
the torque causes the earth to move around the sun

Solution :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|=|r xx F|=rF sin 0^(@)=0`


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