MATH 1172 Midterm: MATH 1172 Ohio State University Math 1172 6.7 Fa 2014

• School: Ohio State University
• Department: Mathematics
• Course: MATH 1172
• Professor: All

Document Summary

September 4, 2014: find the mass of the thin bar over the in- terval 0 x with the density function. Mass of an linear object of variable density: suppose we have a thin strait ob- ject like a bar or a wire with variable den- sity. Further suppose that we can model the object by a line segment on the interval a x b with density function (x). M ass = a (x)dx: find the mass of the thin bar with density. Work done over varying force: let us move an object form x = a to x = b in the presence of a force dependent on x, f (x). Hooke"s law: the force required to keep a spring compressed or stretched in a posi- tion x units from the equilibrium position is. 1(x) = 5e x and 2(x) = 7e 2x (assume that the ends of the bars are at x = 0 and x = l).