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Question

A force F=(^i^j+^k) N acts at point P. Find the torque due to the force F about O.


A
^i+6^j+5^k Nm
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B
5^i6^j+^k Nm
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C
5^i+6^j+^k Nm
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D
^i6^j5^k Nm
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Solution

The correct option is D ^i6^j5^k Nm

Given, Force F=(^i^j+^k) N
r1=(^i+^j2^k) m
r2=(2^i+3^j5^k) m
OP=r=r2r1
r=(2^i+3^j5^k)(^i+^j2^k)
r=(3^i+2^j3^k) m
Torque τ about O is given by,
τ=r×F
Now, r×F=∣ ∣ ∣^i^j^k323111∣ ∣ ∣=^i6^j5^k
τ=^i6^j5^k Nm

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