A triangular plate is shown. A force F→=4i^−3j^ is applied at point P. The torque at point P with respect to point ‘O’ and ‘Q’ are:
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a
−15+203, 15+203
b
−15−203, 15−203
c
15−203, 15+203
d
15+203, 15−203
answer is B.
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Detailed Solution
Torque of force F→=4i^−3j^ w.r.t O τO→=rOP→×F→=10cos600 i^+10sin600 j^×4i^−3j^⇒τO→=5i^+53j^×4i^−3j^=i^ j^ k^ 5 53 04 −3 0 ⇒τO→=k^−15−203 Torque of force F→=4i^−3j^ w.r.t Q τ→Q=r→ PQ×F→ r→PQ =r→ P−r→ Q=(5i^+53j^)−10i^=(−5i^+53j^)τ→ Q=(−5i^+53j^)×(4i^−3j^)=i^j^k^−55304−30 =(15−203)k^ So the answer for given question is −15−203, 15−203