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Theory of Machines Miscellaneous

  1. Two masses m are attached to opposite sides of a rigid rotating shaft in the vertical plane. Another pair of equal masses m1 is attached to the opposite sides of the shaft in the vertical plane as shown in figure. Consider m = 1 kg, e = 50 mm, e1 = 20 mm, b = 0.3 m, a = 2 m and a1 = 2.5 m. For the system to be dynamically balanced, m1 should be ______ kg.
    1. 2 kg
    2. 3 kg
    3. 1 kg
    4. 12 kg
Correct Option: B


Balance moment of all forces
ω² (m1 × 0.02 × 2.5) + (1 × .05 × .3)ω²
= (m1 × 0.02 × 0) ω² + (1 × .05 × 2.3)ω²
m1 = 2 kg



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