consider two cases where two boxes are pulled by the same force f along frictionless races, accelerating toward the left. the masses of the boxes are indicated in each figure. will the tension in rope a on the left be a) greater than, b) less than, or c) equal to the tension in rope b on the right

Any physical object that is in contact with another one can apply forces to that object. Depending on the types of objects in touch, we label these contact forces differently. We refer to the force as tension if a rope, string, chain, or cable is one of the things applying the force.

In medium lengths, tension exerts its force, especially in flexible materials like rope or cord. The force of tension is still a gravitational force. The tension will be referred to as the T = W + ma if the body is moving upward. The thickness remains constant as the body descends, T = W - ma.

Case 1 : The tension can be calculated by :

F = 3ma

a = F/3 m

Thus the equation becomes

mass X acceleration = F - T1

T1 = F - 2/3 F

T1 = F /3

Case 2: ma = 3ma - T2

T2 = 2ma = 2 X F/3m

the values are taken from the diagram

thus T2 = 2F/3

So we can conclude that T2 > T1

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