Question

Draw a diagram of simple pendulum and state the type of motion it executes​

Answer 1

Answer:

Simple pendulum:In a laboratory a heavy metallic bob is suspended from a rigid support with the help of a supunless thread. This arrangement is known as "simple pendulum". <br> Let the length of simple pendulum is 'l' and the point of suspension is 'S'. Let the pendulum is drawn to a side by a small angle

thita

$\huge\red{"θ"}$

and allowed free to oscillatioate in the veritcle plane. Then it will oscillate between the extreme position A and B with a displacement say 'X' at any given time. <br> Let the bob is at onc extreme position say B. The force vertically acting downwards is weight

$w= mg$

By resolving the weight into two perpendicular components: <br> 1) The component

is responsible for the to and fro motion of the bob. <br> 2) The component

will balance the tension in the string. <br> Force useful for motion

(From Newton's 2nd Law) <br>

<br> When

is small

<br>

or a

<br> Since acceleration is proportional to displacement and acceleration is always directed towards a fixed point the motion of simple pendulum is "simple harmonic" <br> Time period of simple pendulum: <br> Time period of a body in S.H.M

<br> From equation(1)

<br>

Time period of simple pendulum.

<br> Problem: <br> In simple pendulum

<br> For seconds pendulum

<br>