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ENMEC4060 Vibration And Machine Dynamics

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Question:

An unbalanced flywheel shows an amplitude of 0.165 and a phase angle of 15° clockwise from the phase mark. When a trial weight of magnitude 50 is added at an angular position 45° counter-clockwise from the phase mark, the amplitude and the phase angle become 0.225 and 35° counterclockwise, respectively. Find the magnitude and angular position of the balancing weight required. Assume that the weights are added at the same radius. 
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