I am having difficulty trying to figure the following .
What is \frac{\mathrm{d} }{\mathrm{d} x}f(x,y) where x is a function of s and t.
Here is my calculation \frac{\mathrm{d} }{\mathrm{d} x}f(x(s,t),y) = \frac{\partial f}{\partial x}\frac{\partial x}{\partial t}+\frac{\partial f}{\partial...
Any suggestions on how do define the static friction? Haruspex, what you have pointed out is the source of my confusion. I understand the the static friction combined with some of the normal force is the cause of the centripetal acceleration, but I am having difficulties creating a mathematical...
Homework Statement
Question: [/B]A 600-kg car traveling at 30.0 m/s is going around a curve having a radius of 120 m that is banked at an angle of 25.0°. The coefficient of static friction between the car's tires and the road is 0.300. What is the magnitude of the force exerted by friction on...
The assumption is the cylindrical shell's thickness is infinitesimally small. I guess if you think about it, if you was to cut a hollow cylinder down the middle the surface are of one side would not equal the surface area of the other, unless the thickness was extremely, extremely, extremely...
In my physics lab, I am asked to calculate the volume of a hollow cylinder. The equation for the volume hollow cylinder below was given. Then, my curiosity made me wonder, is the volume of the hollow cylinder the same as the volume of a cylindrical shell used in calculus? At first though you...