Earth with mass M. The angular velocity magnitude of the Earth relative to the inertial frame, Ω. Find any cross products in this problem.
This problem will have calculation in the non inertial frame S which rotates with the Earth about its axis. Earth is motionless in the S frame. The xyz coordinate system originates at the center of the Earth, the North Pole is on the positive z axis.
At t = 0, a ball of mass m is thrown with
Initial velocity = (-v0 cosθ0, 0, v0 sinθ0), initial position vector = (R sinθ0, 0, R cosθ0)
R = radius of Earth, θ0 = angle between 0 and pi/2
Setting Ω to 0.
Earth with mass M. The angular velocity magnitude of the Earth relative to the inertial frame,...
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