A particle whose mass is 4 kg moves in xyplane with a constant speed of 2 m/s in the positive x-direction along y = 6 m. Find th
e magnitude of its angular momentum relative to the point (x0, y0), where x0 = 0.9 m and y0 = 10 m. Answer in units of kg m2 /s.
1 answer:
Answer: 32.8kgm^2/s
Step-by-step explanation:
1. Angular momentum is a product of linear momentum and the distance of the object from a rotation axis.
2. Linear momentum (L) is given as :
L = mv
Where: m= mass = 4kg
v= velocity= 2m/s
=> L = 8kgm/s
Angular momentum (A) = L x centre distance (d) of object from a rotation axis
d = √(0.9-0)^2 + (10-6)^2 = 4.1m
=> A = 8 x 4.1 = 32.8kgm^2/s.
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