In case of rotational dynamics, which one of the following statements is correct? [ ω = angular velocity, v = linear velocity r = radius vector, α = angular acceleration a = linear acceleration, L = angular momentum p = linear momentum, τ = torque, f = centripetal force] (a) v = r × ω, α = r × a, L = r × p, τ = f × r (b) v = ω × r, α = a × r, L = p × r, τ = r × f (c) v = ω × r, α = a × r, L = r × p, τ = r × f (d) v = ω × r, α = a × r, L = p · r, τ = r × f

Answer: (c). v = ω, L = r, τ = r are the standard forms. (a) reverses v, (b) reverses L, (d) writes L as a dot product (a scalar). Only (c) has all of these right, so the answer is (c).

In case of rotational dynamics, which one of the following statements… | MHT CET 2024 (3 May, Shift 1)

Q12MHT CET 2024 · 3 MAY · SHIFT 1Easy

Torque, Couple & Equilibrium of Rigid Bodies

In case of rotational dynamics, which one of the following statements is correct? [ $\vec{\omega} =$ angular velocity, $\vec{v} =$ linear velocity

$\vec{r} =$ radius vector, $\vec{\alpha} =$ angular acceleration

$\vec{a} =$ linear acceleration, $\vec{L} =$ angular momentum

$\vec{p} =$ linear momentum, $\vec{\tau} =$ torque,

$\vec{f} =$ centripetal force]

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Answer: (c)

$\vec{v} = \vec{\omega}\times\vec{r}$ , $\vec{L} = \vec{r}\times\vec{p}$ , $\vec{\tau} = \vec{r}\times\vec{f}$ are the standard forms.
(a) reverses $\vec{v}$ , (b) reverses $\vec{L}$ , (d) writes $\vec{L}$ as a dot product (a scalar).
Only (c) has all of these right, so the answer is (c).

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