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Due to what force a simple pendulum remains in simple harmonic motion?
  • a)
    y, displacement
  • b)
    mg sinθ, component of weight due to gravitational force
  • c)
    a, acceleration
  • d)
    mg , weight
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Due to what force a simple pendulum remains in simple harmonic motion?...
For the pendulum, we can use Newton's second law to write an equation for the forces on the pendulum. The only force responsible for the oscillating motion of the pendulum is the x-component of the weight, so the restoring force on a pendulum is:
F=−mg sinθ
For angles under about 15°, we can approximate sinθ as θ and the restoring force simplifies to:
F ≈ −mgθ
Thus, simple pendulums are simple harmonic oscillators for small displacement angles.
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Most Upvoted Answer
Due to what force a simple pendulum remains in simple harmonic motion?...
Component of mg
mg cos theta balanced by tension at extreme position
mgsin theta provide the restoring torque
responsible for shm
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Due to what force a simple pendulum remains in simple harmonic motion?a)y, displacementb)mg sinθ, component of weight due to gravitational forcec)a, accelerationd)mg , weightCorrect answer is option 'B'. Can you explain this answer?
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