A shaft is rotating at a uniform speed with four masses 𝒎𝟏, 𝒎𝟐, 𝒎𝟑, &#11

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A shaft is rotating at a uniform speed with four masses 𝒎𝟏, 𝒎𝟐,
𝒎𝟑, 𝒎𝟒 of magnitudes 𝟏𝟓𝟎𝒌𝒈, 𝟐𝟐𝟓𝒌𝒈, 𝟏𝟖𝟎𝒌𝒈, 𝟏𝟗𝟓𝒌𝒈 respectively. The
masses are rotating in the same plane, and the corresponding radii
of rotation are 𝟐𝟎𝟎𝒎𝒎, 𝟏𝟓𝟎𝒎𝒎, 𝟐𝟓𝟎𝒎𝒎, 𝟑𝟎𝟎𝒎𝒎. The angles made by
these masses with respect to horizontal are 𝟎°, 𝟒𝟓°, 𝟏𝟐𝟎°, 𝟐𝟓𝟓°
respectively.
2.1. Find the magnitude and position of balance mass by drawing the
Angular Position diagram and Vector diagram. The balance mass
radius of rotation is 𝟐𝟎𝟎𝒎𝒎. [24]
2.2. Use the Analytical method to determine the magnitude and
position of the balance mass, placing the mass-radius of rotation
at 200mm. [16]
2.3. Is there a difference between the two answers? Discuss your
reasoning. (3)