The coordinates of a particle with respect to origin in a given reference frame is (1, 1, 1) meters. If a force of F = i - j + k acts on the particle, then the magnitude of torque (with respect to origin) in z- direction is __________. Numerical answer type. Work it out, then open the answer.

Answer: 2. τz = xFy - yFx with r = (1,1,1), F = (1,-1,1). τz = 1(-1) - 1(1) = -2 Magnitude of the z-component = 2 N m.

The coordinates of a particle with respect to origin in a given… | JEE Main 2025 (29 Jan, Shift 1)

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Torque, Couple & Equilibrium of Rigid Bodies

The coordinates of a particle with respect to origin in a given reference frame is (1, 1, 1) meters. If a force of $\vec{F} = \hat{i} - \hat{j} + \hat{k}$ acts on the particle, then the magnitude of torque (with respect to origin) in z- direction is __________.

Numerical answer type. Work it out, then open the answer.

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Answer: 2

$\tau_z = xF_y - yF_x$ with $\vec{r} = (1,1,1)$ , $\vec{F} = (1,-1,1)$ .
$\tau_z = 1(-1) - 1(1) = -2$
Magnitude of the z-component = 2 N m.

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