Constraint relation 01

Using constraint equations, show that the relationship between a 1 a_1 and a 2 a_2 can be expressed as a 2 = α × a 1 a_2 = \alpha \times a_1 . Find α \alpha .

Assume both the pulleys and string are light and friction is absent everywhere. Where a 1 a_1 and a 2 a_2 are vectors.


The answer is -7.

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1 solution

Raj Rajput
Nov 10, 2015

come on never thought negative answers allowed kept putting 7 and getting it wrong

Rohith M.Athreya - 5 years, 3 months ago

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In Brilliant you cannot answer 7 three times, I think you have viewed solution

RAJ RAJPUT - 5 years, 3 months ago

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yeah frustrated as i was getting same answer again and again nice problem btw

Rohith M.Athreya - 5 years, 3 months ago

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@Rohith M.Athreya try my nice problems " speck of dust" and "speck of dust returns" not original but very nice!!

Rohith M.Athreya - 5 years, 3 months ago

@Rohith M.Athreya Thanks, you were familiar about the trick ??

RAJ RAJPUT - 5 years, 3 months ago

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@Raj Rajput yeah we learnt stuff like this in detail

Rohith M.Athreya - 5 years, 3 months ago

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@Rohith M.Athreya You are in which class??

RAJ RAJPUT - 5 years, 3 months ago

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@Raj Rajput currently 11 you??

Rohith M.Athreya - 5 years, 3 months ago

Bro Please write answer with direction or put a vector sign over acceleration in question.otherwise it seems we are talking about magnitude only unless a vector sign is there

Prakhar Bindal - 4 years, 11 months ago

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@Prakhar Bindal Yes ,I will take care about that next time, it is handwritten cannot be edited ..... :)

RAJ RAJPUT - 4 years, 11 months ago

Man! I was also having the same confusion.

Akshat Sharda - 4 years, 11 months ago

I'm not very good at classical mechanics, how do you know that tension is inversely proportional to acceleration?

Shaun Leong - 4 years, 11 months ago

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Thats called virtual work method for constraints @Shaun Leong

Prakhar Bindal - 4 years, 11 months ago

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try my problem too, https://brilliant.org/problems/another-troublesome-cylinder/ .....btw i kept entering 7 and then entered random values as i got frustrated y the ans is not 7 !!

A Former Brilliant Member - 4 years, 7 months ago

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@A Former Brilliant Member yeah! nice problem :)

Rohith M.Athreya - 4 years, 7 months ago

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@Rohith M.Athreya thanx bro!

A Former Brilliant Member - 4 years, 7 months ago

mention that a1 and a2 are vectors

Anubhav Tyagi - 4 years, 11 months ago

Got wrong ! Entered 7 and saw the solution :( Btw Another short trick is using the formula 1/ 2^n -1 . And doing it verbally :)

sanyam goel - 3 years, 10 months ago

sorry, i be confused by this questions, please can you make understand me? Tikka

Pauline Salter - 5 years, 6 months ago

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Read the solution once again, you will get it

RAJ RAJPUT - 5 years, 6 months ago

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I not sure still. Korma

Pauline Salter - 5 years, 6 months ago

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@Pauline Salter there is trick shown above, a relation used for finding relations between acceleration, velocities and displacement for 2 blocks that is T is invesely proportional to a . Assume acceleration of block 1 a and its tension t and acceleration of block 2 A and its tension T use proportionality relation, constant used will be cancelled and you will get relation.

RAJ RAJPUT - 5 years, 6 months ago

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@Raj Rajput make sense nows, thank s for helps. usually i find maths difficult so I do naan

Pauline Salter - 5 years, 6 months ago

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@Pauline Salter who are you ??

RAJ RAJPUT - 5 years, 6 months ago

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@Raj Rajput My name is Pauline, I am old now so I saag (at maths)

Pauline Salter - 5 years, 6 months ago

sorry for my english bad Vindapoo

Pauline Salter - 5 years, 6 months ago

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