Question

A balanced rigid disc mounted on a rigid rotor has four identical point masses, each of 10 grams, attached to four points on the 100 mm radius circle shown in the figure.

The rotor is driven by a motor at uniform angular speed of 10 rad/s. If one of the masses gets detached then the magnitude of the resultant unbalance force on the rotor is ______ N. (round off to 2 decimal places).

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Answer :

Correct answer is : 0.10

Given, m = (mass in kg) = 10 g = 10 × 10-3 kg

r(radius) = 100 mm = 0.1 m, ω (Angular speed) = 10 rad/s

∴ Unbalance force = 10 × 10-3 × 0.1 × 102 = 0.1 N

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