Three forces of magnitudes , , and are applied to a block of mass , initially at
ID: 2191244 • Letter: T
Question
Three forces of magnitudes , , and are applied to a block of mass , initially at rest, at angles shown on the diagram. (Figure 1) In this problem, you will determine the resultant (net) force by combining the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (i.e., all angles are positive). What is the direction of ? In other words, what angle does this vector make with respect to the positive x axis? Express your answer in degrees to two significant figures. How far (in meters) will the block move in 5.0 ? Recall that it starts from rest. Express the distance in meters to two significant figures.
Explanation / Answer
Your diagrams didn't show up in your question, but basically this is a very simple problem to solve: (1) Take each Force acting on the mass and divide them into X-component's, and Y-component's (note: there should be NO Z-component forces, since this problem is dealing with a frictionless horizontal surface) (2) Add up the X-component forces, and then add up the Y-component forces (note: make sure that you subtract component forces that are in the opposite direction from the X or Y positive directions.) (3) To calculate the magnitude of the resultant force, use the following formula: F(net) = sqrt(F(x-net)^2+F(y-net)^2)