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System Of Particles And Rotational Motion

Question

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A force of $- F \hat{k}$ acts on O, the origin of the coordinate systems. The torque about the point (1, -1 ) is

$F (\hat{i} - \hat{j})$

$- F (\hat{i} + \hat{j})$

$F (\hat{i} + \hat{j})$

$- F (\hat{i} - \hat{j})$

Solution

$F (\hat{i} + \hat{j})$

$\vec{τ} = \vec{r} \times \vec{F}$

$\vec{τ} = (\hat{i} - \hat{j}) \times (- F \hat{k}) = F [(- \hat{i} \times \hat{k}) + (\hat{j} \times \hat{k})] = F [\hat{j} + \hat{i}] \vec{τ} = F [\hat{i} + \hat{j}]$

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System Of Particles And Rotational Motion

A force of $- F \hat{k}$ acts on O, the origin of the coordinate systems. The torque about the point (1, -1 ) is

$F (\hat{i} - \hat{j})$

$- F (\hat{i} + \hat{j})$

$F (\hat{i} + \hat{j})$

$- F (\hat{i} - \hat{j})$

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System Of Particles And Rotational Motion

A force of -F k^ acts on O, the origin of the coordinate systems. The torque about the point (1, -1 ) is F i^ - j^ - F i^ + j^ F i^ + j^ -F i^ - j^

Some More Questions From System of Particles and Rotational Motion Chapter

Angular momentum of the particle rotating with a central force is constant due to

Four point masses, each of value m, are placed at the corners of a square ABCD of side A. The moment of inertia through A and parallel to BD is

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

A force of $- F \hat{k}$ acts on O, the origin of the coordinate systems. The torque about the point (1, -1 ) is

$F (\hat{i} - \hat{j})$

$- F (\hat{i} + \hat{j})$

$F (\hat{i} + \hat{j})$

$- F (\hat{i} - \hat{j})$