When placing a fulcrum in a lever, to get the greatest mechanical advantage, you would need to make the length of the effort arm
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Refer to the diagram shown below.
The second axis is at the centroid of the rod.
The length of the rod is L = 100 cm = 1 m
The first axis is located at 20 cm = 0.2 m from the centroid.
Let m = the mass of the rod.
The moment of inertia about the centroid (the 2nd axis) is
According to the parallel axis theorem, the moment of inertia about the first axis is
The ratio of the moment of inertia through the 2nd axis (centroid) to that through the 1st axis is
Answer: 0.676
The second axis is at the centroid of the rod.
The length of the rod is L = 100 cm = 1 m
The first axis is located at 20 cm = 0.2 m from the centroid.
Let m = the mass of the rod.
The moment of inertia about the centroid (the 2nd axis) is
According to the parallel axis theorem, the moment of inertia about the first axis is
The ratio of the moment of inertia through the 2nd axis (centroid) to that through the 1st axis is
Answer: 0.676