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A forcee of (3 hati+4hatk) N is acted u...

A forcee of `(3 hati+4hatk) N` is acted upon a flywheel tangentially . The radius vector of the flywheel is `(2hatj-6hatk)` m. the torque acting on the flywheel is

A

25 Nm

B

`20.6 Nm`

C

`sqrt(42) Nm`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B

Torque is `tau= rxxF`
`=(2hatj-6hatk)xx(3hati+4hatk)`
`=+8hati-18hatj-6hatk`
`|tau|=sqrt((-6)^(2)+(8)^(2)+(-18)^(2))`
`=20.6 Nm`
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