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A sign board supported by two strings does illustrate the tension-tension and weight in the free body diagram.
In a sign board supported by two strings, there will be tension in each strings and a force of weight downward due to the mass of the body. The tension of both strings will be in equilibrium to weight of the object.
There will be elastic force or spring force also we can say if a rubber band is being stretched by a person.
A torque will be applied on the door when pulled by two applied forces but there will be no tension.
If a book fall from a table then the book will go under free fall motion, hence there is no possibility of tension tension on the book.
Hence we can conclude that tension tension and weight force will only be there, where we will be having an object supported by strings, also go through the diagram attached for better understanding.
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