Shown in the figure are four different pendulums. Find the period of each pendul
ID: 1912325 • Letter: S
Question
Shown in the figure are four different pendulums. Find the period of each pendulum when it is pulled 20? to the right and then released. (a) a rod has a mass M and a length L (Use any variable or symbol stated above along with the following as necessary: g.) T = (b) a rod has a mass 2M and a length L (Use any variable or symbol stated above along with the following as necessary: g.) T = (c) a mass M is attached to a massless string of a length L (Use any variable or symbol stated above along with the following as necessary: g.) T = (d) a mass M is attached to a massless string of length 1 2 L (Use any variable or symbol stated above along with the following as necessary: g.) T =
Explanation / Answer
As we know
T = 2(I/MgL)
In First Case I = (1/3)ML^2
Therefore
T = 2(L/3g)
============================
In First Case I = (1/3)*2ML^2
Therefore
T = 2(L/6g)
=====================
It is a Simple Pendulum
Therefore
T = 2(L/g)
==================
It is a Simple Pendulum of String Length L/2
Therefore
T = 2(L/2g)
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