At a particular instant, a 1.0 kg particle's position is r = (3.0î - 4.0j + 5.0k) m, its velocity is v = (-1.0î + 4.0j + 1.0k) m/s, and the force on it is F = (12.0î + 17.0j) N. (Express your answers in vector form.) (a) What is the angular momentum (in kg · m2/s) of the particle about the origin? kg - m?/s (b) What is the torque (in N • m) on the particle about the origin? T3D N.m (c) What is the time rate of change of the particle's angular momentum about the origin at this instant (in kg · m2/s?)? IP dt kg - m?/s2 %3D

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At a particular instant, a 1.0 kg particle's position is r = (3.0î – 4.0ĵ + 5.0k) m, its velocity is v = (-1.0î + 4.0j + 1.0k) m/s, and the force on it is F = (12.0î + 17.0j) N. (Express your answers in
vector form.)
(a) What is the angular momentum (in kg • m/s) of the particle about the origin?
kg • m
m2/s
(b) What is the torque (in N • m) on the particle about the origin?
N• m
(c) What is the time rate of change of the particle's angular momentum about the origin at this instant (in kg · m²/s)?
di
kg · m2/s?
dt
II
Transcribed Image Text:At a particular instant, a 1.0 kg particle's position is r = (3.0î – 4.0ĵ + 5.0k) m, its velocity is v = (-1.0î + 4.0j + 1.0k) m/s, and the force on it is F = (12.0î + 17.0j) N. (Express your answers in vector form.) (a) What is the angular momentum (in kg • m/s) of the particle about the origin? kg • m m2/s (b) What is the torque (in N • m) on the particle about the origin? N• m (c) What is the time rate of change of the particle's angular momentum about the origin at this instant (in kg · m²/s)? di kg · m2/s? dt II
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