The housing of the electric motor is freely pivotedabout the horizontal x-axis, which

Chapter 7, Problem 7/116

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The housing of the electric motor is freely pivoted about the horizontal x-axis, which passes through the mass center G of the rotor. If the motor is turning at the constant rate \(\dot{\phi}=p\), determine the angular acceleration \(\ddot{\psi}\) which will result from the application of the moment M about the vertical shaft if         \(\dot{\gamma}=\dot{\psi}=0\). The mass of the frame and housing is considered negligible compared with the mass m of the rotor. The radius of gyration of the rotor about the z-axis is \(k_{z}\) and that about the x-axis is \(k_{x}\).