The x − t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t = 3 4 s is

Question

The x − t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t = 3 4 ​ s is

TestHub · Accepted Answer

T = 8 s , ω = T 2 π ​ = ( 4 π ​ ) rads − 1 x ∴ a = − ω 2 x ​ = A sin ω t = − ( 16 π 2 ​ ) sin ( 4 π ​ t ) ​ Substituting t = 3 4 ​ s , we get a = − ( 32 3 ​ ​ π 2 ) cms − 2

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JEE Main - 1 year (12th class)