A particle executes simple harmonic motion (amplitude = A) between x = - A and x = + A. The time taken for it to go from 0 to A 2 is T 1 and to go from A 2 to A is T 2 . Then

Question

A particle executes simple harmonic motion (amplitude = A) between x = - A and x = + A. The time taken for it to go from 0 to A 2 is T 1 and to go from A 2 to A is T 2 . Then, T 1 T 2, T 1 > T 2, T 1 = T 2, T 1 = 2 T 2

MARKS App · Accepted Answer

x = A s i n ω t For x = A 2 , s i n ω T 1 = 1 2 ⇒ T 1 = π 6 ω For x = A, s i n ω T 1 + T 2 = 1 ⇒ T 1 + T 2 = π 2 ω ⇒ T 2 = π 2 ω - T 1 = π 2 ω - π 6 ω = π 3 ω i.e. T 1 T 2

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