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A rod AB of weight $w_{1}$ is placed over a sphere of weight $w_{2}$ as shown in figure. Ground is rough and there is no friction between rod and sphere and sphere and wall. Which of the following will represent the correct free body diagrams of sphere and rod separately.

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None of the above

All of the above

answer is A.

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Detailed Solution

In the figure

$N_{1} =$ normal reaction between sphere and wall

$N_{2} =$ normal reaction between sphere and ground

$N_{3} =$ normal reaction between sphere and rod a

$N_{4} =$ normal reaction between rod and ground

$f =$ force of friction between rod and ground

No friction will act between sphere and ground because horizontal component of normal reaction from rod (on sphere) will be balanced by the horizontal normal reaction from the wall.

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