15. Consider a non-uniform long thin rod with total mass m, length 1, and the linear mass density given by A = 50 + 20x. (a) Calculate the center of mass of the rod. (b) If l = 30 cm, bow far from the x=0 end is its cm? (c) Calculate moment of inertis of the rod about an axis passing through the center of mass of the rod and perpendicular to its length. (d) Calculate moment of inertia of the rod about an axis passing through one end of the rod and perpendicular to its length
15. Consider a non-uniform long thin rod with total mass m, length 1, and the linear mass density given by A = 50 + 20x. (a) Calculate the center of mass of the rod. (b) If l = 30 cm, bow far from the x=0 end is its cm? (c) Calculate moment of inertis of the rod about an axis passing through the center of mass of the rod and perpendicular to its length. (d) Calculate moment of inertia of the rod about an axis passing through one end of the rod and perpendicular to its length
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Transcribed Image Text:15.
Consider a non-uniform long thin rod with total mass m, length I, and the linear mass
density given by λ = 50 + 20x.
(a) Calculate the center of mass of the rod.
(b) Ifl = 30 cm, how far from the x = 0 end is its cm?
(c) Calculate moment of inertia of the rod about an axis passing through the center of mass of the rod
and perpendicular to its length.
(d) Calculate moment of inertia of the rod about an axis passing through one end of the rod and
perpendicular to its length.
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