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Question

A force F=4^i5^j+3^k is acting at point r1=^i+2^j+3^k. The torque acting about the point r2=3^i2^j3^k is

A
Zero
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B
42^i30^j+6^k
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C
42^i+30^j+6^k
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D
42^i+30^j6^k
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Solution

The correct option is D 42^i+30^j6^k
F=4^i5^j+3^k
r1=^i+2^j+3^k
r2=3^i2^j3^k

r=r1r2=2^i+4j+6^k

torque, τ=F×r
τ=(4^i5^j+3^k) ×(2^i+4j+6^k)
τ=(12+30)^i+(24+6)^j+(1016)^k=(42^i+30^j6^k)

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