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Two forces F1 and F2 act on a thin unifo...

Two forces `F_1` and `F_2` act on a thin uniform elastic rod placed in space. Force `F_1` acts at right end of rod and `F_2` acts exactly at centre of rod as shown (both forces act parallel to length of the rod).

`(i) F_(1)` causes extension of rod while `F_(2)` causes compression of rod.
(ii) `F_(1)` causes extension of rod and `F_(2)` also causes extension of rod.
(iii) `F_(1)` causes extension of rod while `F_(2)` does not change total length of rod.
The correct order of True/False in above statements is

A

TFF

B

FTF

C

FFT

D

FFF

Text Solution

Verified by Experts

The force `F_(1)` causes extension in rod. `F_(2)` causes compression in left of rod and an equal extension in right half of rod. Hence `F_(2)` does not effectively change length of the rod.

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