What is the magnitude of the angular momentum relative to the origin of the 100 g particle in the figure (figure 1? express your answer to two significant figures and include the appropriate units?

Question

Tianna Koch

Physics

24 November, 19:59

What is the magnitude of the angular momentum relative to the origin of the 100 g particle in the figure (figure 1? express your answer to two significant figures and include the appropriate units?

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Taliyah Luna · Answer 1

Radius distance from origin to particle = √ (2²+1²) = √5 m = R

I = MR² = (0.200) (5) = 1.00 kg-m²

Θ = arctan 2/1 = 63.4° = R's angle CCW from horizontal

V = 3.0 m/s

V component that is at 90° to R = 3.0 (sin 90° - 63.4°) = 3.0 (sin 26.6°) = 1.3433 m/s

w = [V component / R] = 1.3433/√5 = 0.601 rad/s

size of angular momentum of particle relative to origin = Iw = (1.00) (0.601) = 0.601 kgm²/s

i hope I'm right