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  • A force of  acts on the origin of the coordinate system. The torque about the poin

A force of -P\; \hat{k} acts on the origin of the coordinate system. The torque about the point (2, –3) is P(a \hat{i}+b \hat{j}),The ratio of \frac{a}{b} is \frac{x}{2}. The value of x is -

Option: 1

3


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\begin{aligned} &\vec{\tau}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathbf{F}}\\ &\begin{aligned} & \vec{r}=\text { head }- \text { tail } \\ & =(0-2) \hat{i}+(0(-3)) \hat{j} \\ & =-2 \hat{i}+3 \hat{j} \\ & \tau=(-2 \hat{i}+3 \hat{j}) \times(-P \hat{k}) \\ & =-2 P \hat{j}-3 P \hat{i} \\ & =P(-3 \hat{i}-2 \hat{j}) \end{aligned} \end{aligned}

\frac{a}{b}=\frac{-3}{-2}=\frac{3}{2}=\frac{x}{2} \Rightarrow \quad x=3

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Divya Prakash Singh

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