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Circular Motions & ypical Time Speed & Distance

Sujoy Das
24/02/2018 0 0

Concept 1: Circular Motions  is mostly based on two or three objects moving around a circular track.

In such cases the relative speed becomes effective speed of the bodies.

Let us assume the three objects are moving with a speed of a, b & c on a track of length L. (a>b>c)

1) If two bodies are moving in the same direction, their relative speed is (a-b).

2) If two bodies are moving in the opposite direction, their relative speed is (a+b)

Number of distinct Points at which body meets on a track:

1) If they are moving in same direction, they will meet at (a-b) distinct points, where a and b are coprimes

2) If they are moving in opposite directions, they will meet at (a+b) distinct points, where a and b are coprimes

3) All these points will be equidistant from each other.

Note: If they aren't coprimes then cancel the common part, make them coprime (a:b) and then use the above points.

Ex 1: If two bodies are moving in the opposite direction at speed 7 and 19, then they will meet at (7+19) = 26 distinct points on the track.

Ex 2: If two bodies are moving in the same direction at speed 6 and 15, (6:15 :: 2 : 5)then they will meet at (5-2) = 3 distinct points on the track.

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