Question

State law of simple pendulum

Answer 1

Answer:

LAWS:

Simple Pendulum Derivation

You can determine the equation for a simple pendulum, the definition that depends upon a simple harmonic oscillator, from a series of steps beginning with the equation of motion for a pendulum.

Factors Affecting Pendulum Movement

If you compare the result of this derivation θ(t) = θmaxcos (t (L/g)2) to the equation of a simple harmonic oscillator (_θ(t) = θmaxcos (2πt/T)) b_y setting them equal to one another, you can derive an equation for the period T.

Length of Pendulum Example

With the equation for a period T = 2π (L/g)__-1/2, you can rearrange the equation to obtain L = (T/2_π)2 /g_ and substitute 1 sec for T and 9.8 m/s2 for g to obtain L = 0.0025 m.

Simple Pendulum Definition

You can pull the pendulum back angle θ to let it swing back and forth to see it oscillate just like a spring might. For a simple pendulum you can describe it using equations of motion of a simple harmonic oscillator. The equation of motion works well for smaller values of angle and amplitude, the maximum angle, because the simple pendulum model relies on the approximation that sin(θ) ≈ θ for some pendulum angle θ.

Newton's Laws in Pendulums

Newton’s first law defines the velocity of objects in response to forces. The law states that if an object moves at a specific speed and in a straight line, it will continue to move at that speed and in a straight line, infinitely, as long as no other force acts on it. Imagine throwing a ball straight forward – the ball would go around the earth over and over if air resistance and gravity did not act on it. This law shows that since a pendulum moves side to side and not up and down it has no up and down forces acting on it.

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Answer 2

Answer:Answer:

a period of simple pendulum at a given place is given by

where L is a length of the simple pendulum is the acceleration due to gravity at that place from the above expression the law of simple pendulum are as follow

(1) law of length: the period of a simple pendulum at a given place (g constant) is a directly directly proportional to the square root of it is length

(2) law of acceleration due to gravity: the period of a simple pendulum is length (Lconstant) is inversely proportional to the square root of the acceleration due to gravity

(3) law of mass: the period of simple pendulum does not depend on the mass of material of the bob of the pendulum

(4) love isochronous oscillation or law of isochronism: the period of simple pendulum do not develop on the amplitude of oscillation if amplitude is small

Explanation:

Explanation: