In the case of rotational dynamics, which of the following statements is correct? { S = linear displacement, α = angular acceleration, r = radius vector, a = linear acceleration, L = angular momentum,

Question

In the case of rotational dynamics, which of the following statements is correct? { $S$ = linear displacement, $α$ = angular acceleration, $r$ = radius vector, $a$ = linear acceleration, $L$ = angular momentum, $p$ = linear momentum, $θ$ = angular displacement}

1. $S = r \times θ, a = r \times α, L = p \times r$
2. $S = θ \times r, a = α \times r, L = r \times p$
3. $S = r \cdot θ, a = r \cdot α, L = p \cdot r$
4. $S = ω \times r, a = r \times p, L = r \times f$

TestHub · Accepted Answer

The vector relations between linear and angular quantities in rotational dynamics follow the right-hand rule.

Linear displacement is the cross product of angular displacement and the radius vector: $S = θ \times r$

Linear acceleration is the cross product of angular acceleration and the radius vector: $a = α \times r$

Angular momentum is the cross product of the radius vector and linear momentum: $L = r \times p$

These relations match statement 2.

Physics - Rotation Question with Solution | TestHub

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