A force of magnitude 20 N is applied to a box of mass m2 = 2 kg. The force is directed up a plane tilted by theta =53°. The box is connected by a cord to a box of mass m1= 4 kg on the floor. The floor, plane, and pulley are frictionless, and the masses of the pulley and cord are negligible. What is the tension in the cord?

 

T = 2.887 N

Draw separate free body diagram for each box. Starting with box 2 where a known force of 20 N is applied. You can draw the force system in a separate illustration. See the pictures below.

Summation of forces was done with respect to the inclined axis x' since F and T were directed in the same direction. x' component of W is included in this computation.

An equation will be discovered.

Do the same step for box 1.

Another equation was discovered. We can now solve for the tensile force in the cord.

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https://drive.google.com/file/d/1EA2KsVjy5KFvxhpLBZdsNI2-ZS7e905b/view?usp=sharing                                

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https://helpinhomework.org/blog/how-to-obtain-answer-through-google-drive-link