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Q.

Consider a uniform bar for which the center of gravity coincides with the geometrical center.
Weight of rod and length are w and  L respectively. Mark the correct statements about the rod.

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a

Total gravitational torque about  P may be considered as arising from a single force w at the bar's center.

b

If a fulcrum is placed at P  the rod is balanced if x = L/2

c

Total gravitational torque about  P may be considered as arising from a two individual forces of magnitudes  wxL and  w(L+x)L  acting at the midpoints of the two segments defined by P.

d

Total gravitational torque about  P  may be considered as arising from a two individual forces of magnitudes wxL and  w(L+x)L acting at the midpoints of the two segments defined by P.

answer is A, B, C.

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Detailed Solution

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Net torque about P

wLL-xL-x2-wLxx2

=w2L-2x

 

 

wL2-x=w2L-2x

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