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The torque of force F = -3 hat(i)+hat(j)...

The torque of force `F = -3 hat(i)+hat(j) + 5 hat(k)` acting on a point `r = 7 hat(i) + 3 hat(j) + hat(k)` about origin will be

A

`14 hat(i)-38 hat(j)+16 hat(k)`

B

`4hat(i)+4hat(j)+6hat(k)`

C

`-14 hat(i)+38 hat(j)-16 hat(k)`

D

`-21 hat(i)+3hat(j)+5hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
A
Torque of the force, `tau=r xx F`
`tau=|(hat(i),hat(j),hat(k)),(7,3,1),(-3,1,5)|=(14 hat(i)-38hat(j)+16 hat(k))`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-FORCE-Exercise 1
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