Two inertial frames of reference, denoted by S and S', are in uniform relative motion such...

Two inertial frames of reference, denoted by S and S', are in uniform relative motion such

that the origin O' moves at constant velocity V = V0(êxcosβ + êysinβ) relstive to O. In frame

S, a particle moves along the space curve prescribed by the vector position r = êx4(3t^2 – t^4) +

êy(t^3+2t)+êz(2t^2 +3t)^2.

(a) Find the velocity of the particle relative to O′.

(b) Show explicitly that the acceleration of the particle is the same in both frames of

reference.

(c) If the particle has a mass of 2 kg, find the z component of the angular momentum, L ≡

r x p, in frame S' at t=1 when β =60° and V0 =15ms^-1

Expert Solution

genius_generous answered 2 years ago

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