It is easier to rotate a rod about its center or about its edge and why? Explain with appropriate equations
It is easier to rotate the rod about its center than about edge.
let M is the mass and L is the length of the rod.
moment of inertia of the rod about an axis passing through center of mass perpendicular to its length,
Icm = M*L^2/3
moment of inertia of the rod about its edge,
I_edge = M*L^2/3
clearly, I_edge = 4*Icm
so, it is easier to rotate the rod about its center.
It is easier to rotate a rod about its center or about its edge and why?...
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The figure shows an overhead view of a ring that can rotate
about its center like a merry-go-round. Its outer radius
R2 is 0.6 m, its inner radius
R1 is R2/2, its mass
M is 7.4 kg, and the mass of the crossbars at its center
is negligible. It initially rotates at an angular speed of 6.5
rad/s with a cat of mass m = M/4 on its outer edge, at
radius R2. By how much does the cat increase...
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