A rod of length 37.5 cm has a linear density (mass-per-length)given by the follo

Question

A rod of length 37.5 cm has a linear density (mass-per-length)given by the following equation, where x is the distance from oneend. = 50.0 g/m + 22.0x g/m2 a) what is its mass? b)How far from the x=0 end is its center of mass? A rod of length 37.5 cm has a linear density (mass-per-length)given by the following equation, where x is the distance from oneend. = 50.0 g/m + 22.0x g/m2 a) what is its mass? b)How far from the x=0 end is its center of mass? a) what is its mass? b)How far from the x=0 end is its center of mass?

Explanation / Answer

Linear density = m / L Given that L = 37.5 cm = 50.0 g/m + 22.0x g/m2 Therefore mass                m = L = (50.0 g/m + 22.0x g/m2)(0.375 m) b) Center of mass of rod = L / 2 = 37.5 cm = 18.75cm             

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