For a) you have to integrate the linear mass density equation, then solve for the length given. ans=.0204 kg
I still haven't figured out b
A rod with a length
L = 0.385 m and a nonuniform linear mass density rests along the y axis with one end at the origin. If the linear mass density of the rod is given by
λ = (5.00 ✕ 10−2 kg/m) + (1.50 ✕ 10−2 kg/m2)y then
a) what is the total mass of the rod in kg?
b) distance of the center of the mass of the rod from the origin?
4 answers
For part b, the equation for center of mass should be:
x(cm)=(1/M)(integral of x dm)
so integrate the equation you used to find the mass from 0 to 0.385 (aka find the second integral of the initial equation and plug in the length for x) and divide by the mass.
x(cm)=(1/M)(integral of x dm)
so integrate the equation you used to find the mass from 0 to 0.385 (aka find the second integral of the initial equation and plug in the length for x) and divide by the mass.
For b.) you need to take the 2nd integral of the equation you are given from 0 to L(which is .365 for you). You then divide that number by the number you found in part a. I got this from looking at the center of mass equation.
.385* sorry about that