3. A particle of mass 1 kg is moving along the line
y = x + 3 (x and y are in meter) with speed 3 m/s.
The magnitude of angular momentum of the particle
about origin is
Answers
Given info : A particle of mass, m = 1 kg is moving along the line y = x + 3, with speed , v = 3 m/s.
To find : The magnitude of angular momentum of the particle about origin is ...
solution : angular momentum, L = mvr
where m is mass , v is speed and r is distance of particle from the observation point.
here observation point is origin, so distance of line from the origin is r = |(0) + 3 - (0)|/√(1² + 1²)
= 3/√2
now L = 1 kg × 3 m/s × 3/√2 m
= 9/√2 kgm²/s
Therefore the angular momentum of the particle about origin is 9/√2 kgm²/s.
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