Two physical pendulums (not simplependulums) are made from meter sticks that are

Question

Two physical pendulums (not simplependulums) are made from meter sticks that are suspended from theceiling at one end. They are identical in all respects, except thatone is made of wood and the other of metal. The are set intooscillation and execute simple harmonic motion. The wood andmetal pendulums have masses of 0.24 and 1.00 kg, respectively.
What is the algebraic expressionfor the period T of a physical pendulum? Expressyour answer in terms of thelength L0 of a meter stick and themagnitude g of the acceleration due to gravity.(Answer using L_0 to be the length of a meter stick, g to be theacceleration due to gravity, and pi torepresent ).
What is theperiod T of the wood pendulum?
What is theperiod T of the metal pendulum?
What is the algebraic expressionfor the period T of a physical pendulum? Expressyour answer in terms of thelength L0 of a meter stick and themagnitude g of the acceleration due to gravity.(Answer using L_0 to be the length of a meter stick, g to be theacceleration due to gravity, and pi torepresent ).
What is theperiod T of the wood pendulum?
What is theperiod T of the metal pendulum?

Explanation / Answer

What is theperiod T of the wood pendulum?

T=2piI/m g L_o
I=mL_o2/3
hence T becomes
T=2pi2L_o/3g=2*3.142*1.00/3*9.8=1.64sec
What is theperiod T of the metalpendulum?
T=2pi2L_o/3g=2*3.142*1.00/3*9.8=1.64sec
note mass has no role in calculating T

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