Find the torque about point O and A - F -5 -3-5 -A- 51-3 k- 5-3 k-B- 51-3 k- 5-2 k- 51-3 k- 5-3 k-D- 51-3 k- 5-3 k-

The correct option is D Torque about point O,r⃗=r⃗_0×F⃗,r⃗_0=î+ĵ,F⃗=5√(3)î+5ĵ r⃗=(î+ĵ)×(5√(3)î+5ĵ)=5(1 √(3))k̂ Torque about point A,r⃗=r⃗_a×F⃗,r⃗_⃗a⃗=ĵ,F̂=5√( ...

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Byju's Answer

Standard XII

Mathematics

Derivative of Standard Functions

Find the torq...

Question

Find the torque about point $O$ and $A$ . $\to F$ = $5 \sqrt{3}^i + 5^j$

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Solution

The correct option is D

Torque about point O, $\to r = {\to r}_{0} \times \to F, {\to r}_{0} =^i +^j, \to F = 5 \sqrt{3}^i + 5^j$
$\to r = (^i +^j) \times (5 \sqrt{3}^i + 5^j) = 5 (1 - \sqrt{3})^k$
Torque about point A, $\to r = {\to r}_{a} \times \to F,_{a} =^j,^F = 5 \sqrt{3}^i + 5^j$
$\to r =^j \times (5 \sqrt{3}^i + 5^j) = 5 (- \sqrt{3})^k$

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Similar questions

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F = (5 \sqrt{3}^i + 5^j) N

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A f o r c e \to F = 4^i - 5^j + 3^k i s a c t i n g a p o i n t - - \to r_1 =^i + 2^j + 3^k

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Find the torque about point O and A. →F = 5√3^i + 5^j

The correct option is D Torque about point O,→r=→r0×→F,→r0=^i+^j,→F=5√3^i+5^j →r=(^i+^j)×(5√3^i+5^j)=5(1−√3)^k Torque about point A,→r=→ra×→F,→ra=^j,^F=5√3^i+5^j →r=^j×(5√3^i+5^j)=5(−√3)^k

Find the torque about point $O$ and $A$ . $\to F$ = $5 \sqrt{3}^i + 5^j$