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Variation of G Due to the Rotation of Earth

A point mass ...

Question

A point mass m is placed inside a spherical shell of radius R and mass M at a distance $R / 2$ from the centre of the shell. The gravitational force exerted by the shell on the point mass is?

A

\frac{G M m}{R^{2}}

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B

- \frac{G M m}{R^{2}}

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C

Zero

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D

4 \frac{G M m}{R^{2}}

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Solution

The correct option is A Zero
zero
gravitational field due to spherical sphere A point inside spherical cylender
$r < R E_{i n s i d e} = 0$
gravitational force acting on the point m at distance
$\frac{R}{2}$
$F = m E_{i n s i d e} = 0$

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Variation of G Due to the Rotation of Earth

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