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Question

Find the torque by the force, F=2^i+3^j+5^k acting at the point r1=5^i+2^j^k about the point r2=6^i4^j+^k.


A
15^i+^j+36^k
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B
36^i+^j15^k
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C
36^i15^j+^k
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D
^i+36^j15^k
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Solution

The correct option is B 36^i+^j15^k

Given, force F=2^i+3^j+5^k
r=r1r2
=(5^i+2^j^k)(6^i4^j+^k)
=^i+6^j2^k
Torque about point r2 is given by τ=r×F
=(^i+6^j2^k)×(2^i+3^j+5^k)
=∣ ∣ ∣^i^j^k162235∣ ∣ ∣
=^i(30+6)^j(5+4)+^k(312)

τ=36^i+^j15^k

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