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When a force F1 acts on a particle, frequency is 6 Hz, when a force F2 acts, frequency is 8 Hz. What is the frequency when both the forces act simultaneously in the same direction? |
Answer» Let m be the mass of the particle and r be its amplitude of oscillations. Then F1 = mrω12 = mr4π2 v2 and F2 = mr4π2 v22 When both the forces act simultaneously, on the particle, then F = F1 + F2 or, mr4π2 v2 = mr4π2 v12 + mr4π2v22 or, v2 = v12 + v22 or, v = √{v12 + v22} = √{62 + 82} = 10 Hz |
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