Two simple pendulums A and B of lengths and are suspended side by side at the same…

PHYSICS · Multi-part · CBSE · Physics · Oscillations · Oscillations

Problem

Two simple pendulums A and B of lengths

L_{A}=1.00\,\text{m}

and

L_{B}=1.44\,\text{m}

are suspended side by side at the same location where

g=9.8\,\text{m\,s}^{-2}

. Both are set into small-amplitude oscillations simultaneously. (i) Obtain the ratio of their angular frequencies

\omega_{A}:\omega_{B}

in symbolic form and then calculate its numerical value. (ii) Compute the individual time periods

T_{A}

and

T_{B}

. (iii) How many complete oscillations does each pendulum make in

5\,\text{min}

? Which pendulum completes more oscillations in this interval? Show all calculations clearly.