# Tessellate - S.T.E.M.S - Mathematics - School - Subjective Problem

A disc is kept at the North End of each rope. The two discs start moving at the same time from the North Wall to the South Wall along the respective ropes. It is seen that along the entire motion of the two discs, the centre of the two discs are always on the respective ropes, and the two discs always touch each other. The two discs gradually reach from the North Wall to the South Wall.

Consider another situation. The walls, ropes and discs are same as before, but now one disc is kept at the North End of Rope 1, the other is kept at the South End of Rope 2. The two discs start moving at the same time towards their respective opposite walls such that their centres are always on the respective ropes. Is it possible for the discs to reach the opposite walls without hitting/touching each other?

(Hint: You may use the following result without proof. For any convex quadrilateral $ABCD$, any curve from $A$ to $C$ entirely contained within the quadrilateral intersects any other curve from $B$ to $D$ entirely contained within the quadrilateral. If you visualize it intuitively, it seems pretty obvious.)

This problem is a part of Tessellate S.T.E.M.S.

Note by Writabrata Bhattacharya
3 years, 5 months ago

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Excuse me. what is meant by touching?? If you mean that the disks are tangential, then the answer is probably should be no as then the ropes are parallel..... But if they are not tangential, then can the disks overlap?? Please tell me soon..

- 3 years, 5 months ago

- 3 years, 5 months ago

Yes they will touch each other as we know that when they go together they touch each other. Therefore,when they meet at some pt. they will touch each other by their perimeter.

- 3 years, 5 months ago

No

- 2 years, 5 months ago