Welcome all to the first ever Brilliant Mechanics Contest. Like the Brilliant Integration Contest, the aim of the Mechanics Contest is to improve skills and techniques often used in Olympiad/JEE-style Mechanics problems. But above all, the main reason is so we can have fun.
Anyone is allowed to participate, as long as they adhere to the following rules.
I will post the first problem. If someone solves it, he or she can post a solution and then must post a new problem.
A solution must be posted below the thread of the problem. Then, the solver must post a new problem as a separate thread.
Please make a substantial comment.
Make sure you know how to solve your own problem before posting it, in case no one else is able to solve it within 48 hours. Then, you must post the solution and you have the right to post a new problem.
If the one who solves the last problem does not post a new problem in 24 hours, the creator of the previous problem has the right to post another problem.
The scope of the problems is (IPhO) Olympiad Mechanics.
Keep yourself restricted to Newtonian Mechanics. Do not use Lagrangian mechanics
You are allowed to apply a slight dressing of Electricity And Magnetism to your Mechanics Problem.
It is NOT compulsory to post original problems. But make sure it has not been posted on brilliant.
Try to post the simplest solution possible. For example, if someone posted a solution using Newton's Laws, when there is a solution using only Work Energy theorem, the latter is preferred.
There should be only one question. No sub questions allowed.No parts. Only one answer should be there.
The problem creator should give the answer to his/her question with the question.
Post only the problem and it's solution here. Extremely relevant comments are allowed. All discussions should be done here
Format your proof as follows:
Solution to Problem (Insert Problem no here)
[Post your solution here]
And put your Problem in a new thread following the format :
Problem (Insert Problem no here)
[Post your problem here]
Remember to reshare this note so it goes to everyone out there. And above all else, have fun!