TS EAMCET · Physics · Rotational Motion
A force \(\mathbf{F}_1=A \hat{\mathbf{j}}\) is applied to a point, whose radius vector \(\mathbf{r}_1=a \hat{\mathbf{i}}\), while a force \(\mathbf{F}_2=B \hat{\mathbf{i}}\) is applied to the point whose radius vector \(\mathbf{r}_2=\hat{b} \hat{\mathbf{j}}\). Both the radius vectors are determined relative to the origin of the coordinate axes \(O\). The moment of the force relative to \(O\) is
- A \((a A-b B) \hat{\mathbf{k}}\)
- B \((a A-b B) \hat{\mathbf{j}}\)
- C \((a b-A B) \hat{\mathbf{k}}\)
- D \((a B-b A) \hat{\mathbf{j}}\)
Answer & Solution
Correct Answer
(A) \((a A-b B) \hat{\mathbf{k}}\)
Step-by-step Solution
Detailed explanation
Given that, \[ \begin{aligned} & \mathbf{F}_1=A \hat{\mathbf{j}}, \mathbf{r}_1=a \hat{\mathbf{i}} \\ & \mathbf{F}_2=B \hat{\mathbf{i}}, \mathbf{r}_2=b \hat{\mathbf{j}} \end{aligned} \] First Case…
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