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A glider of mass m1 on a frictionless horizontal track is connected to an object of mass m2 by a massless string. The glider accelerates to the right, the object accelerates downward, and the string rotates the pulley. The pulley has a moment of inertia I. What is the relationship among T1 (the tension in the horizontal part of the string), T2 (the tension in the vertical part of the string), and the weight m2g of the object

Answer :

Answer:

m2g -> T2 -> T1

Explanation:

m2g -> T2 -> T1

The relationship between T₁, T₂, and w will be m₂g>-T₂>T₁. The relationship is found by analyzing the free body diagram.

What is tension force?

The tension force is described as the force transferred through a rope, string, or wire as it is pulled by opposing forces.

The tension force is applied along the whole length of the wire, pulling energy equally on both ends.

m₁ is the mass of a glide

m₂ is the mass of an object

a is the acceleration downward,

I is the moment of inertia of the pulley.

T₁ is the  tension in the horizontal part of the string

T₂ is the  tension in the vertical part of the string

w is the weight = m₂g

The relationship between T₁, T₂, and w is found by analyzing the free body diagram;

The weight is always acting downwards and has more magnitude than the tension in the string while both the tension is acting upward. The tension is more in megnitude due to the balancing forces.

So from the sign convection, it is found as;

m₂g>-T₂>T₁

Hence the relationship between T₁, T₂, and w will be m₂g>-T₂>T₁.

To learn more about the tension force refer to the link;

https://brainly.com/question/2287912

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