﻿ What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop? from Physics Motion in A Plane Class 11 Manipur Board

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What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?

C.

The question is illustrated in the figure below,

Let, the tension at point A be TA.

Using Newton's second law, we have

Energy at point A =
Energy at point C is,

At point C, using Newton's second law,

In order to complete a loop, Tc
So,

From equation (i) and (ii)

Using the principle of conservation of energy,

The question is illustrated in the figure below,

Let, the tension at point A be TA.

Using Newton's second law, we have

Energy at point A =
Energy at point C is,

At point C, using Newton's second law,

In order to complete a loop, Tc
So,

From equation (i) and (ii)

Using the principle of conservation of energy,

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What is a vector quantity?

A physical quantity that requires direction along with magnitude, for its complete specification is called a vector quantity.
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A physical quantity that requires only magnitude for its complete specification is called a scalar quantity.
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