• facebook
  • twitter
  • whatsapp
  • telegram

Motion In A Plane

  Physical quantities having magnitude and direction are called 'Vectors'. The concept of vector has given a precise definite direction to the study of Physics. A thorough understanding of 'Vectors' is like possessing a sharp tool to solve the secrets of nature. Man likes to learn from nature.
         All physical quantities do not have direction, distance, mass, temperature, speed, work etc will have only magnitude and they do not need direction. They are called 'Scalars'. You are astonished to note that all fundamental physical quantities are scalars.
         Suppose a force F is acting on a body. Then it is quite natural to ask 'What is the direction in which the force is acting?' Which means that 'force' direction has to be mentioned. Thus force is a vector. Similarly the physical quantities acceleration, momentum etc are vectors.
Vector - A sharp arrow!
 A vector is a directed line segment in space representing a physical quantity both in direction and magnitude. 

 The length of the straight line AB represents the magnitude and the arrow head gives the direction of the vector. Vectors are also represented as , , ,  etc.
 A vector is a mathematical object with both numerical and geometrical properties. Towards the end of 19th century Josiah Williand Gibbs and Oliver Heariside discovered vector analysis.
Are vectors, tails of monkeys?
       Consider three monkeys trying to cross a fast flowing river. As a measure of precaution, the second monkey will hold the tail of the first monkey going a head, and the third monkey will hold the second monkey's tail and all start crossing the river confidently. Suppose after travelling some distance, if the speed of the flowing water increases suddenly, the first monkey will hold the tail of the third and the three monkeys form a closed circuit such that they will come to an equilibrium.
       Similarly, if three forces (vectors) 1, 2, 3  are acting Simultaneously on a body, and if they are represented by the three sides of a triangle taken 'inorder' both in direction and magnitude then that body will be in equilibrium. This is the 'triangle law of forces' (vectors).

If many forces are acting on a body (if many monkeys are crossing the river) applying the same procedure (attaching the head of the one to the tail of the other) we can arrive at 'Polygon Law of Vectors'.
     These laws are called Vector Laws of addition.
Order of addition - No problem!
        Vector addition can be done in any order. What you have to do is to attach the 'tail' of one to the head of the other maintaining the magnitude and direction of the Vectors.

The 'Relative velocity' is the vector difference between the velocities.
Flying bird gives Parallelogram Law of forces
        Suppose two forces are acting simultaneously on a body in different directions. We can learn the resultant of these two forces from a 'flying bird', in the form of 'Parallelogram Law of forces'.

Posted Date : 31-10-2020

గమనిక : ప్రతిభ.ఈనాడు.నెట్‌లో కనిపించే వ్యాపార ప్రకటనలు వివిధ దేశాల్లోని వ్యాపారులు, సంస్థల నుంచి వస్తాయి. మరి కొన్ని ప్రకటనలు పాఠకుల అభిరుచి మేరకు కృత్రిమ మేధస్సు సాంకేతికత సాయంతో ప్రదర్శితమవుతుంటాయి. ఆ ప్రకటనల్లోని ఉత్పత్తులను లేదా సేవలను పాఠకులు స్వయంగా విచారించుకొని, జాగ్రత్తగా పరిశీలించి కొనుక్కోవాలి లేదా వినియోగించుకోవాలి. వాటి నాణ్యత లేదా లోపాలతో ఈనాడు యాజమాన్యానికి ఎలాంటి సంబంధం లేదు. ఈ విషయంలో ఉత్తర ప్రత్యుత్తరాలకు, ఈ-మెయిల్స్ కి, ఇంకా ఇతర రూపాల్లో సమాచార మార్పిడికి తావు లేదు. ఫిర్యాదులు స్వీకరించడం కుదరదు. పాఠకులు గమనించి, సహకరించాలని మనవి.

Special Stories

More

విద్యా ఉద్యోగ సమాచారం

More
 

లేటెస్ట్ నోటిఫికేష‌న్స్‌