A simple pendulum (mass M and length L) is suspended from a cart (mass m) that can oscillate on the end of a spring of force constant k, as shown in Figure 11.18. (a) Assuming that the angle cb remains small, write down the system's Lagrangian and the equations of motion for x and 0. (b) Assuming that m=M=L=g=1 and k = 2 (all in appropriate units) find the normal frequencies, and for each normal frequency find and describe the motion of the corresponding normal mode.

Chapter 3: Composition of Substances and Solutions Molecular and Formula Mass The molecular mass is the mass in atomic mass units (amu) of an individual molecule. o To calculate the molecular mass, multiply the atomic mass for each element in a molecule by the number of atoms of that element and then total...