Physics Circle home Student Login

Home›Chapters›Rotational Motion PYQs›Torque, Couple & Equilibrium of Rigid Bodies›Question 5

MHT CET 2025 (19 Apr, Shift 1) · Torque, Couple & Equilibrium of Rigid Bodies

Torque, Couple & Equilibrium of Rigid Bodies question from MHT CET 2025 (19 Apr, Shift 1)

Q5MHT CET 2025 · 19 APR · SHIFT 1Easy

Torque, Couple & Equilibrium of Rigid Bodies

If F⃗=(5i^−10j^)\vec{F} = (5\hat{i}-10\hat{j}) and r⃗=(4i^−3j^)\vec{r} = (4\hat{i}-3\hat{j}), then the torque acting on the object will be

Show answer and solution

Answer: (d)

  1. Both vectors lie in the xy-plane, so τ⃗=(xFy−yFx)k^\vec{\tau} = (xF_y - yF_x)\hat{k}.
  2. τz=4(−10)−(−3)(5)=−40+15=−25\tau_z = 4(-10) - (-3)(5) = -40 + 15 = -25
  3. So the answer is (d) −25k^-25\hat{k}.
Report a mistake

More questions on Torque, Couple & Equilibrium of Rigid Bodies