the-linear-density-of-a-thin-bar-with-length-lb-and-mass-mb-varies-with-position

Question

The linear density of a thin bar with length l _b and mass m _b varies with position in accordance with the function λ(y) = ay ³, where y is the distance in meters from one end of the bar and an is a constant. Determine the relationship between the constant a and the bar's mass and length.

Accepted Answer

4m_b/l_b⁴

Answer

mb/lb

Answer

2mb/lb2

Answer

3mb/lb3

The linear density of a thin bar with length l b and mass m b varies with position in accordance with the function λ(y) = ay 3, where y is the distance in meters from one end of the bar and an is a constant. Determine the relationship between the constant a and the bar's mass and length.

The linear density of a thin bar with length l _b and mass m _b varies with position in accordance with the function λ(y) = ay ³, where y is the distance in meters from one end of the bar and an is a constant. Determine the relationship between the constant a and the bar's mass and length.