Simple pendulam derivation...
Answers
Answer:
For the pendulum in Figure 1, 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 xxx-component of the weight, so the restoring force on a pendulum is:
F=-mg\sin\thetaF=−mgsinθF, equals, minus, m, g, sine, theta
For angles under about 15 \degree15°15, degree, we can approximate \sin\thetasinθsine, theta as \thetaθtheta and the restoring force simplifies to:
F\approx -mg\thetaF≈−mgθF, approximately equals, minus, m, g, theta
Thus, simple pendulums are simple harmonic oscillators for small displacement angles
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Answer:
simple pendulum are some time used as an example of simple harmonic motion. s.h.m. since their motion is periodic as the pendulum swings it is accurate both centripetally towards it is acurating both centripetally towards the point of suspension intention tikli towards it equillibrium position.