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Answer in Mechanics | Relativity for A #108105

Author:
March 12th, 2023

Given data,

Angular velocity =43rpm

Time = 6.5min=390second

Mass of the satellite M=4000kg

Mass of the rocket m = 250kg

Radius of the satellite R =5m

Angular velocity “omega=43timesfrac{2pi}{60}=4.50 rad s^{-1}”

Angular acceleration “alpha”,

“omega=omega_0+alphatimes t”

“alpha=frac{4.5}{390}=0.0115rads^{-2}”

Inertia is given by

“I=0.5MR^2+4mR^2”

And the net torque,

“tau_{net}=Itimesalpha=4Ftimes R”

“F=frac{Itimesalpha}{4R}”

“F=frac{R(0.5M+4m)timesalpha}{4}”

F=43.125N

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