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MHT CET 2026 (12 May, Shift 1) · Torque, Couple & Equilibrium of Rigid Bodies

Torque, Couple & Equilibrium of Rigid Bodies question from MHT CET 2026 (12 May, Shift 1)

Q2MHT CET 2026 · 12 MAY · SHIFT 1Easy

Torque, Couple & Equilibrium of Rigid Bodies

In the case of rotational dynamics, which of the following statements is correct? {SS = linear displacement, α\alpha = angular acceleration, rr = radius vector, aa = linear acceleration, LL = angular momentum, pp = linear momentum, θ\theta = angular displacement}

1. S=r×θ,a=r×α,L=p×rS = r \times \theta, a = r \times \alpha, L = p \times r

2. S=θ×r,a=α×r,L=r×pS = \theta \times r, a = \alpha \times r, L = r \times p

3. S=r⋅θ,a=r⋅α,L=p⋅rS = r \cdot \theta, a = r \cdot \alpha, L = p \cdot r

4. S=ω×r,a=r×p,L=r×fS = \omega \times r, a = r \times p, L = r \times f

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Answer: (c)

  1. Correct vector relations: S⃗=θ⃗×r⃗\vec{S} = \vec{\theta}\times\vec{r}, a⃗t=α⃗×r⃗\vec{a}_t = \vec{\alpha}\times\vec{r}, L⃗=r⃗×p⃗\vec{L} = \vec{r}\times\vec{p}.
  2. Statement 1 has L=p×rL = p\times r (wrong sign), 3 uses dot products (scalars), 4 mixes wrong quantities.
  3. Statement 2 matches, so the answer is (c) 2.
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