2. Show using parallel axis theorem and the result of 1 how you would find the moment of inertia of the same rod, bu now rotating about a point L/4 from one of its ends.

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Please answer the second question.

1. Show using calculus how to find the moment of inertia for a uniform rod of length L and mass M rotating about its
center of mass.
2. Show using parallel axis theorem and the result of 1 how you would find the moment of inertia of the same rod, but
now rotating about a point L/4 from one of its ends.
Transcribed Image Text:1. Show using calculus how to find the moment of inertia for a uniform rod of length L and mass M rotating about its center of mass. 2. Show using parallel axis theorem and the result of 1 how you would find the moment of inertia of the same rod, but now rotating about a point L/4 from one of its ends.
Taking integration of the element from -L/2 to +L/2.
/dl=/t (분)Pdr
1=(4){}
+L/2
+1/2
3
-L/2
ML?
3
Thus, the moment of inertia of the rod about the center of mass is MIE
Transcribed Image Text:Taking integration of the element from -L/2 to +L/2. /dl=/t (분)Pdr 1=(4){} +L/2 +1/2 3 -L/2 ML? 3 Thus, the moment of inertia of the rod about the center of mass is MIE
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