Question

the string of Pendulum must be thin inextensible and of negligible mass . Explain with a suitable reason

Answer 1

Answer:

Pendulums are in common usage. Some have crucial uses, such as in clocks; some are for fun, such as a child’s swing; and some are just there, such as the sinker on a fishing line. For small displacements, a pendulum is a simple harmonic oscillator. A simple pendulum is defined to have an object that has a small mass, also known as the pendulum bob, which is suspended from a light wire or string, Exploring the simple pendulum a bit further, we can discover the conditions under which it performs simple harmonic motion, and we can derive an interesting expression for its period.

We begin by defining the displacement to be the arc length. that the net force on the bob is tangent to the arc and equals −mg sinθ. (The weight mg has components mg cosθ along the string and mg sinθ tangent to the arc.) Tension in the string exactly cancels the component mg cosθ parallel to the string. This leaves a net restoring force back toward the equilibrium position at θ = 0.

Now, if we can show that the restoring force is directly proportional to the displacement, then we have a simple harmonic oscillator. In trying to determine if we have a simple harmonic oscillator, we should note that for small angles (less than about 15º), sinθ ≈ θ (sinθ and θ differ by about 1% or less at smaller angles). Thus, for angles less than about 15º, the restoring force F is F ≈ −mgθ.

Explanation:

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