A communications satellite is struck by a meteoroid and sent spinning. Half a second later, the satellite's thrusters fire opposite the rotation to stop the spinning.
What is known:
meteoroid momentum pm = 0.33 kg-km/s
impact angle α = 45°
satellite mass ms = 100 kg
satellite moment of inertia Is = 150 kg-m2
thruster force F = 200 N each
initial angular velocity is zero before impact
How long must the thrusters fire in order to stop the satellite from spinning?
Assume the meteoroid becomes imbedded in the satellite.
Using the Conservation of Momentum, determine the motion of the satellite after the impact.
Using the Principle of Impulse and Momentum, determine the thruster firing-time required to reduce the rotational velocity back to zero.
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