The motion of a simple pendulum executing S.H.M. is represented by the following equation. where time is measured in second. The length of pendulum is
The motion of a simple pendulum executing S.H.M. is represented by the following equation. where time is measured in second. The length of pendulum is
Option 1 -
97.23 cm
Option 2 -
25.3 cm
Option 3 -
99.4 cm
Option 4 -
406.1 cm
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1 Answer
-
Correct Option - 3
Detailed Solution:According to question, we can write
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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)]
Displacement equation of SHM of frequency ' '
Now,
Potential energy
So frequency of potential energy
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