A particle of mass ‘m’ is moving with constant velocity ‘v’ parallel to x-axis at y = b. If particle displace from ‘ $p_{1}$ ’ to ‘ $p_{2}$ ’ as shown in figure then about origin ‘O’

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Angular momentum is constant but angular velocity increases

Angular momentum is constant but angular velocity decreases

Angular momentum and angular velocity decreases

Angular momentum and angular velocity increases

answer is C.

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Detailed Solution

Question Image

Angular momentum

L = P $\times$ perpendicular distance to line of motion

L = P $\times$ b, it is constnt

Angular velocity

$ω = \frac{v}{r}$ $ω = \frac{v \sin θ}{r}$

$ω = \frac{v \sin θ}{b / \sin θ}$ $ω α \sin^{2} θ$

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