Determine the moment of inertia of a rod of length L = 10 cm that is heavier on one side than the other such that the linear density A is a function of a given as X(x) = 2 kg/m. L a) b) c) x=0 Determine the moment of inertia I, about the center of mass of the rod (i.e. at x = - L) Determine the moment of inertia I₂ about the end of the rod (i.e. at x = 0 cm) using the integral I₂ = fr²dm Determine the moment of inertia I₂ about the end of the rod using the parallel axis theorem and your result from part (a). You we need to use M = f dm to get the total mass of the rod.

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Determine the moment of inertia of a rod of length L = 10 cm that is heavier on one side than the other such
that the linear density A is a function of a given as X(x) = 2 kg/m.
L
a)
b)
c)
x=0
Determine the moment of inertia I, about the center of mass of the rod (i.e. at x = - L)
Determine the moment of inertia I₂ about the end of the rod (i.e. at x = 0 cm) using the
integral I₂ = fr²dm
Determine the moment of inertia I₂ about the end of the rod using the parallel axis
theorem and your result from part (a). You we need to use M = f dm to get the total mass of the
rod.
Transcribed Image Text:Determine the moment of inertia of a rod of length L = 10 cm that is heavier on one side than the other such that the linear density A is a function of a given as X(x) = 2 kg/m. L a) b) c) x=0 Determine the moment of inertia I, about the center of mass of the rod (i.e. at x = - L) Determine the moment of inertia I₂ about the end of the rod (i.e. at x = 0 cm) using the integral I₂ = fr²dm Determine the moment of inertia I₂ about the end of the rod using the parallel axis theorem and your result from part (a). You we need to use M = f dm to get the total mass of the rod.
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