A particle moves such that its acceleration ′a′ is given by a=−bx where x is the displacement from equilibrium position and b is constant. The period of oscillation
2π/√b
2π/b
√2π/b
2√π/b
A
2π/b
B
2π/√b
C
√2π/b
D
2√π/b
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Solution
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a=−ω2x=−bx Thus, ω=√b Thus, T=2πω=2π√b
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A particle moves such that its acceleration a is given by a=-bx, where x is the displacement from equilibrium position and b is a constant. The period of oscillation is