A force of 2i^+3j^+4k^N acts on a particle whose position vector with respect to the origin of the coordinate system is 6i^+bj^+12k^m . If the angular momentum of the body is constant, the value of ‘b’ is

L=constant dLdt=0⇒τ=0 τ¯=r¯×F¯=0 ∴r¯∥F¯ 62=b3=124 b=9

A force of 2i^+3j^+4k^N acts on a particle whose position vector with respect to the origin of the coordinate system is 6i^+bj^+12k^m . If the angular momentum of the body is constant, the value of ‘b’ is

L=constant dLdt=0⇒τ=0 τ¯=r¯×F¯=0 ∴r¯∥F¯ 62=b3=124 b=9

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A force of $(2 \hat{i} + 3 \hat{j} + 4 \hat{k}) N$ acts on a particle whose position vector with respect to the origin of the coordinate system is $(6 \hat{i} + b \hat{j} + 12 \hat{k}) m$ . If the angular momentum of the body is constant, the value of ‘b’ is

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$L =$ constant $\frac{d L}{d t} = 0 \Rightarrow τ = 0$
$\begin{aligned} \bar{τ} = \bar{r} \times \bar{F} = 0 \\ ∴ \bar{r} ∥ \bar{F} \\ \frac{6}{2} = \frac{b}{3} = \frac{12}{4} \\ b = 9 \end{aligned}$

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A force of 2i^+3j^+4k^N acts on a particle whose position vector with respect to the origin of the coordinate system is 6i^+bj^+12k^m . If the angular momentum of the body is constant, the value of ‘b’ is

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A force of $(2 \hat{i} + 3 \hat{j} + 4 \hat{k}) N$ acts on a particle whose position vector with respect to the origin of the coordinate system is $(6 \hat{i} + b \hat{j} + 12 \hat{k}) m$ . If the angular momentum of the body is constant, the value of ‘b’ is