Force in a vector form:
The magnitude of the resultant force, Fr = F1 + F2 + F3
F1 = (4.0)cos(25°)x + (4.0)sin(25°)y = 3.63x + 1.69y
Three forces of magnitudes F1=4.0N, F2=6.0N, and F3=8.0N are applied to a block of mass m=2.0kg, 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).
Part A: Calculate the magnitude of the resultant force acting on the block.
Part B: What angle does Fr make with the positive x axis?
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What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Intro to Vectors (Basic Trigonometry) concept. You can view video lessons to learn Intro to Vectors (Basic Trigonometry). Or if you need more Intro to Vectors (Basic Trigonometry) practice, you can also practice Intro to Vectors (Basic Trigonometry) practice problems.
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Based on our data, we think this problem is relevant for Professor Pasupathy's class at COLUMBIA.