Find the ratio of amplifier gain, Electrical Engineering

The input to the satellite system of Figure 1 is a step function θc(t) = 5u(t) in degrees. As a result, the satellite angle θ(t) varies sinusoidally at a frequency of 10 cycles per Minute. Find the ratio of the amplifier gain K and the moment of inertia J for the system, assuming that the units of time in the system Differential equation are seconds.

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Figure: Satellite control system

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