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# Tag Archives: vectors

## Displacement – A Numerical Problem

A fly is sitting in the middle of a wall of a cubic room of side ’a’.If it flies and sit to one of opposite corner of the wall. Find its displacement?

**Answer:**

**A to B**in the diagram) the displacement is “

**a**“

**A to C**in the diagram) the displacement is “

**√2 a**“

**A to H**in the diagram) the displacement is “

**√3 a**“

## Tensor

streess is** tensor**,then,what is meant by **tensor**?

rupasri

Ans:

**Tensors** are used to represent the **relation** between **vectors**. They are geometrical objects which show’s the **relation** between **vectors**, **vectors** and scalars.It is a geometrical maping of the relations .Tensor analysis ,a branch in mathematics is helping to **solve** the complex equations in which many **vectors** are involved

for further reference visit http://www.grc.nasa.gov/WWW/k-12/Numbers/Math/documents/Tensors_TM2002211716.pdf

## Numerical from Kinematics and vectors

- A jetliner moving at 500. km/h due east moves into a region where the wind is blowing from exactly NW toward the SE at a speed of 127 km/h. What is the new velocity of the airplane? you must include both magnitude and direction in your answer.
- The speed of a train changes from36km/h to 72km/h in 10sec. calculate the distance travelled during this time

## Rain and Man problems – How to solve?

**Shashank Asked:**

“How to solve

rain and man problemsfrom motion in one dimension?”

**Answer:**

The problem is solved using principles of **vector addition**.

There is a simple logic to remember

**A/C = A/B x B/C**

If we represent diagrammatically (in the form of vectors) the velocity of rain wrt ground, velocity of man wrt ground and velocity of rain wrt man, then we can write

Vr/m = V r/g + Vg/m = V r/g – Vm/g = V r/g + (- Vm/g)

Where (- Vm/g) is the negative vector of Vg/m

I will be adding illustrations soon.