Forces in 2D Video Lessons

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Problem: The diagram below shows a block of mass m = 2.00 kg on a frictionless horizontal surface, as seen from above. Three forces of magnitudes F4.00 N, F2 6.00 N, and F3 8.00 N are applied to the block, initially at rest on the surface, at angles shown on the diagram. (Figure 1) In this problem, you will determine the resultant (total) force vector from the combination of the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (i.e., all angles are positive). 

FREE Expert Solution

A force can be expressed as:

F=|F|cosθi^+|F|sinθj^

Magnitude:

|F|=Fx2+Fy2

For the three forces, we have:

F1=(4.00)cos (25°)i^+(4.00)sin (25°)j^=(3.62N)i^+(1.69N)j^F2=(6.00)cos (325°)i^+(6.00)sin (325°)j^=(4.91N)i^-(3.44N)j^F3=-(4.00N)i^

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Problem Details

The diagram below shows a block of mass m = 2.00 kg on a frictionless horizontal surface, as seen from above. Three forces of magnitudes F4.00 N, F2 6.00 N, and F3 8.00 N are applied to the block, initially at rest on the surface, at angles shown on the diagram. (Figure 1) In this problem, you will determine the resultant (total) force vector from the combination of the three individual force vectors. All angles should be measured counterclockwise from the positive x axis (i.e., all angles are positive). 

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Our tutors have indicated that to solve this problem you will need to apply the Forces in 2D concept. You can view video lessons to learn Forces in 2D. Or if you need more Forces in 2D practice, you can also practice Forces in 2D practice problems.

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Based on our data, we think this problem is relevant for Professor Wang's class at New Jersey Institute of Technology.