Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 202529 JanuaryMorning Shift
Exam
JEE Main
Year
2025
Date
29 January
Shift
Morning Shift
Subject
Physics
Chapter
Rotational Motion

JEE Main 2025 · 29 January · Morning Shift · Physics · Rotational Motion

The coordinates of a particle with respect to origin in a given...

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

Correct answer

0

Step-by-step solution

τ⃗=r→×F→=∣i^j^k^1111−11∣τ⃗=k^(−1−1)=−2k^∣τ⃗∣=2Nm\begin{aligned} & \vec{\tau}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{F}}=\left|\begin{array}{ccc}\hat{\mathrm{i}} & \hat{\mathrm{j}} & \hat{\mathrm{k}} \\ 1 & 1 & 1 \\ 1 & -1 & 1\end{array}\right| \\ & \vec{\tau}=\hat{\mathrm{k}}(-1-1)=-2 \hat{\mathrm{k}} \\ & |\vec{\tau}|=2 \mathrm{Nm}\end{aligned}
Practice Rotational Motion on Quantrex Academy →

More from Rotational Motion

Consider a large disk of radius R and two smaller disks, each of radius r = R/50 , lying… JEE Advanced 2026A solid cylinder of radius R rolls without slipping with a center of mass speed v_0 =… JEE Advanced 2026List-I shows four planar structures made of uniform solid rods each of mass m and length… JEE Advanced 2026Passage: A uniform circular disk of radius 0.2 m and mass 1 kg is pivoted at its top… JEE Advanced 2026Passage: A uniform circular disk of radius 0.2 m and mass 1 kg is pivoted at its top… JEE Advanced 2026A solid cylinder having radius R and length L is slipping on a rough horizontal plane. At… JEE Main 2026A solid sphere ( A ) of mass 5m and a spherical shell ( B ) of mass m , both having same… JEE Main 2026A solid sphere of radius 4 cm and mass 5 kg is rotating (rotation axis is passing through… JEE Main 2026 Full Rotational Motion list All JEE Main PYQs