Question

Consider a simple pendulum, having a bob attached to a string that osscilates under the action of the

force of gravity. Suppose the period of oscillation (T) of the simple pendulum depends on its length (l),

mass of the bob (m) and acceleration due to gravity (g). Derive the expression for its time period using

method of dimension.​

Answer 1

Answer:

Let<br> where k is dimensionless constant and a,b,c, <br> are the respecitve dimensious, Writing the <br> dimensions on both sides of (i), we get <br><br><br> Equating the dimensious of M,L and T on both <br> sides, we get <br><br><br> From (i),<br> By other methods, we find<br>