4. Please proof the below equations. (hint: please use the lever rule and draw the picture) W. M, C,-C, W. R+S C.-C. R C, -C %3D %3D M + M. R+S C,-C

Problem 3: Now we will repeat the previous problem using the Cartesian method. Values: FA = 20 N FB = 30 N a = 25° Use the Cartesian method to determine... a) the magnitude of the resultant force on the bolt. b) the angle made by the resultant, as measured relative to the positive x-axis. Break individual forces into Cartesian components This is the method you are probably more familiar with. We are going to break each force into its respective x and y components, and then add the components together to get the resultant. We can therefore check our answers to the previous problem. Add components along x & y FA This is what we do in the real world by the way. When we don't have answers in the back of the book, we use different methods of achieving the same result, and if we don't get the same result, we know something is wrong. Here's an illustration of what we're doing: FIX X α FRY FB FRX Determine magnitude and direction of resultant

HW. Use bisection method to locate the root of f(x) = x " - 1

P4-4