A horizontal platform with an object placed on it is executing SHM in the vertical direction. The amplitude of oscillation is 4×10-3 m. What must be least period of these oscillations, so that the object is not detached from the platform? (Take, g=10 ms-2)
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a
π25s
b
π5s
c
π10s
d
π50s
answer is A.
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Detailed Solution
As, F = N or mω2A=mg⇒ω2A=g∴ ω =gA or T=2π Ag =2π4×10-310=2π×2×10-2⇒ T =4π100=π25 s