If the time period of a two meter long simple pendulum is 2s, the acceleration due to gravity at the place where pendulum is executing S.H.M. is:
If the time period of a two meter long simple pendulum is 2s, the acceleration due to gravity at the place where pendulum is executing S.H.M. is:
Option 1 - <p>9.8 ms<sup>-2</sup></p>
Option 2 - <p>16 m/s<sup>2</sup></p>
Option 3 - <p>2π<sup>2</sup> ms<sup>-2</sup></p>
Option 4 - <p>2π<sup>2</sup> ms<sup>-2</sup></p>
2 Views|Posted 6 months ago
Asked by Shiksha User
1 Answer
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Answered by
6 months ago
Correct Option - 3
Detailed Solution:
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Then,
Given mg = kL
∴ Iα = (kLθ.L + k (L/2)²θ - mg (L/2)θ)
(mL²/3)α = kL² (3/4)θ (restoring torque)
α = (9k/4m)θ
∴ ω = (3/2)√ (k/m)
y = A sin (2πt/T)
t? - t? = (T/2π) [sin? ¹ (x? /A) - sin? ¹ (x? /A)]
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