A particle of mass 5 units is moving with a uniform speed 3 2 units in the XOY plane along the line y = x + 4 . The magnitude of the angular momentum about the origin is

Angular momentum about the origin L = | r × m v | = ( 4 cos ⁡ 45 ° ) × ( 5 ) × 3 2 = 4 2 × 5 × 3 2 L = 60 units

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Physics - Rotation Question with Solution | TestHub

PhysicsRotationAngular momentumEasy2 minPYQ_2020

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A particle of mass $5$ units is moving with a uniform speed $3 \sqrt{2} units$ in the $XOY$ plane along the line $y = x + 4$ . The magnitude of the angular momentum about the origin is

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Solution:

Angular momentum about the origin

$|L| = | r \times m v |$

$= (4 \cos 45 °) \times (5) \times 3 \sqrt{2}$

$= \frac{4}{\sqrt{2}} \times 5 \times 3 \sqrt{2}$

$|L| = 60$ units

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:RotationSubtopic:Angular momentum

⏱ 2mℹ️ Source: PYQ_2020

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