Mass Density

  • AIMS Maxwell 2021 Consider a rod of length \(L\) lying on the \(z\)-axis. Find an algebraic expression for the mass density of the rod if the mass density at \(z=0\) is \(\lambda_0\) and at \(z=L\) is \(7\lambda_0\) and you know that the mass density increases
    1. (2pts) linearly;
    2. (2pts) like the square of the distance along the rod;
    3. (2pts) exponentially.