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Question
A force →F=4^i−5^j+3^k is acting at point →r1=^i+2^j+3^k. The torque acting about the point →r2=3^i−2^j−3^k is
A force →F=4^i−5^j+3^k is acting at point →r1=^i+2^j+3^k. The torque acting about the point →r2=3^i−2^j−3^k is
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Solution
The correct option is D 42^i+30^j−6^k
→F=4^i−5^j+3^k
→r1=^i+2^j+3^k
→r2=3^i−2^j−3^k
→r=→r1−→r2=−2^i+4→j+6^k
torque, →τ=→F×→r
→τ=(4^i−5^j+3^k) ×(−2^i+4→j+6^k)
→τ=(12+30)^i+(24+6)^j+(10−16)^k=(42^i+30^j−6^k)
→F=4^i−5^j+3^k
→r1=^i+2^j+3^k
→r2=3^i−2^j−3^k
→r=→r1−→r2=−2^i+4→j+6^k
torque, →τ=→F×→r
→τ=(4^i−5^j+3^k) ×(−2^i+4→j+6^k)
→τ=(12+30)^i+(24+6)^j+(10−16)^k=(42^i+30^j−6^k)
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