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Derive the equations for a particle moving near the surface of the earth, given by ?̈= 2?...

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Physics

Derive the equations for a particle moving near the surface ofthe earth, given by

?̈= 2? cos ? ?̇

?̈= −2( cos ? ?̇ + ? sin ? ?̇)

?̈= −? + 2? sin ? ?̇

? = v/r; v=velocity; r-radius

where the earth’s rotational speed in the ?̂ direction is ?.

Answer & Explanation Solved by verified expert
4.3 Ratings (887 Votes)
At rest we have V0x V0y and V0z Recall eqs 243 x 2 cos y y 2 xcos z sin z g 2 y sin By integrating both xand z we get x 2 cos y V0x z g t 2 y sin V0z Substitute x z in y we get y 2 2 w cos y V0x cos g t 2 y sin V0z sin 2 2 cos2 y V0x cos g t    See Answer
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