ï»¿ Derive an expression for the increase in the length of a uniform rope hanging from the ceiling of a room, due to its own weight. from Physics Mechanical Properties of Solids Class 11 Manipur Board

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Derive an expression for the increase in the length of a uniform rope hanging from the ceiling of a room, due to its own weight.

Let,

Mass of the wire = M

Area of cross section = A

Length of the rope = LÂ

Let, lÂ be the increase in the length of rope due to its own weight.

Since the rope is uniform and whole of the weight of rope can supposed to be concentrated at the centre of gravity, therefore the effective length of the rope is L/2 loaded by weight Mg.

Thus, Young's modulus is given by,Â

Â Â Â
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What is the force of adhesion?

Adhesive force is the attractive force between two unlike molecules. They are caused by forces acting between two substances like electrostatic force (attraction due to opposing charges), mechanical force etc.

E.g., Force of attraction between gum and paper.

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What do you understand by intermolecular forces?

Intermolecular force is the force between the molecules of the substance is called intermolecular force.

There is a dipole-dipole interaction between the molecules.
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What is the force of cohesion?

Cohesive attraction or cohesive force is the force of attraction between same types of molecules sticking together.
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Define interatomic forces and give an example?

The force between atoms of the molecule is called interatomic force.

E.g.The nucleus and electron cloud of a molecule is binded by electrostatic force.
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What is the nature of inter-atomic or inter-molecular forces?

Inter-atomic or inter-molecular forces are electrostatic in nature.

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