A grandfather clock keeps time using a pendulum consisting of a light rod connected to a small heavy mass. With a rod of length L, the period of oscillation is 2.00 s. What shou…

Question

asked Feb 9, 2020 190k views

1 Answer

OmniOwl · Answer 1 · 2020-02-15T08:53:23+0000

Answer:

The length of the rod should be

$(L)/(4) \\$

Step-by-step explanation:

Period of simple pendulum is given by

$T=2\pi\sqrt{(l)/(g)} \\$

We have

$(T_1^2)/(T_2^2)=(l_1)/(l_2)\\\\(2^2)/(1^2)=(L)/(l_2)\\\\l_2=(L)/(4) \\$

The length of the rod should be

$(L)/(4) \\$