Any one solve the derivation of simple pendulam please....

1.	Any one solve the derivation of simple pendulam please....
Answer» 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 follow me

Answer»

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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