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The body shown in Fig. is pivoted at poi...

The body shown in Fig. is pivoted at point `O`. Three forces act on it `F_(a) = 10N` at point `A, 8.0 m` from `O, F_(b) = 16 N` at` B, 4.0m` from O, and `F_(c) = 19 N` at `C, 3.0 m` from `O`. What is the net torque about `O`.

A

`40 sqrt3 - 45 Nm` clockwise

B

`40 sqrt3 - 45 Nm` anticlockwise

C

`20 srt3 - 15 Nm` clockwise

D

`20 sqrt3 - 15 Nm` anticlockwise

Text Solution

Verified by Experts

The correct Answer is:
B
`tau = 10 cos 30^(@) xx 8 + 19 xx 2 cos 60^(@) - 16 xx 4`
`= tau`
`40 sqrt3 + 19 - 64 = tau`
`tau = 40 sqrt3 - 45 Nm`
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