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The model you are referring to is called a pendulum. In this setup, a weight is hung from a wire or string, and when the weight is displaced horizontally, it oscillates back and forth due to gravity. The motion of the pendulum can be used to detect and measure horizontal movement or acceleration.

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The model you are referring to is called a pendulum. In this setup, a weight is hung from a wire or string, and when the weight is displaced horizontally, it oscillates back and forth due to gravity. The motion of the pendulum can be used to detect and measure horizontal movement or acceleration.

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If this is a homework assignment, please consider trying to answer it yourself first, otherwise the value of the reinforcement of the lesson offered by the assignment will be lost on you.

The period of a pendulum increases as it length increases because the verticle distance the bob travels is less, and thus there is less potential energy available to accelerate the bob in its arc. Also, recall that in vector mechanics the horizontal force vector due to gravity is a function of the direction the object is constrained to follow, and if the pendulum is longer, that direction is more horizontal, giving the horizontal force vector less of an effect.

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what is the principle behind simple pendulum

no because heavy body is suspended with light extensibe string.
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Compound pendulum is a physical pendulum whereas a simple pendulum is ideal pendulum. The difference is that in simple pendulum centre of mass and centre of oscillation are at the same distance.

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A shorter pendulum has a shorter period.

A longer pendulum has a longer period.

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