A particle executes S H M along a straight line so that its period is 12 s . The time it takes in traversing a distance equal to half its amplitude from its equilibrium position is-

Question

A particle executes S H M along a straight line so that its period is 12 s . The time it takes in traversing a distance equal to half its amplitude from its equilibrium position is-, 6 s, 4 s, 2 s, 1 s

MARKS App · Accepted Answer

for T = 12 s, ω = 2 π T = 2 π 12 = π 6 Using x = A sin ( ω t ) (from equilibrium position) A 2 = A sin ( π 6 t ) ⇒ π 6 t = 30 ° = π 6 ⇒ t = 1 s

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