A large horizontal surface moves up and down in S.H.M. with an amplitude of 1 cm . If a mass of 10 kg (which is placed on the surface) is to remain continuously in contact with it, the maximum frequen

Question

A large horizontal surface moves up and down in S.H.M. with an amplitude of 1 cm . If a mass of 10 kg (which is placed on the surface) is to remain continuously in contact with it, the maximum frequency of S.H.M. will be

TestHub · Accepted Answer

Here, a = 1 cm = 0.01 m ; The mass will remain in contact with surface, if m g = m ω 2 a or ω = g / a ​ ​ or 2 π v = g / a ​ or v = 2 π 1 ​ a g ​ ​ v = 2 × 22 7 ​ 1 980 ​ ​ = 4.9 s − 1 = 5 Hz ​

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