What are Degrees of freedom in physics(Understanding them) | solved examples by mathOgenius

what are degrees of freedom in physics-
This video is about The degrees of freedom -The number of directions in which a particle can move freely is defined as its degree of freedom. OR The number of independent coordinates required to specify completely the position of a particle in space, is defined as its degree of freedom .
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[@mathOgenius]

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[@s.dassneembarveen3817]

3×3_3=6degrees of freedom

[@psonicdaplug5180]

The number of degree of freedom of a particle moving in a space curve....pls answer

[@fizikmania5857]

very good examples 👌

[@iknownothing35]

Nah bro. You have some explaining to do.. "5 particles moving in a plane" does not make sense. The particle moving in the circle is in a plane so why use 3N for particle in a circle but 2N for particle in a plane?????????!!!!
Particle moving in a circle [N = 1 particle, k = 2 because r and phi are constarined] therefore 3(1) - 2 = 1
so plane MUST be [N = 5 particles, k = 1 only z is constrained] therefore 3(5) - 1 = 14 RIGHT?? AM I TRIPPING???
Answer this and I will be satisfied, does the preconvieced conditions of the problem determine if we use 3N or 2N?
Like say a car moving on a straight road that is free to switch lanes. Will I use 3N or 2N to determine its DoF?

[@mathOgenius]

if you want to do it with a 2d space, then the constraint would only be of r , if we are in a 3d space then it will be on r and phi.

[@vincys8217]

Thankyou sir

[@evidencekapondoro4573]

You are the best

[@status_lover00]

Wah katii zhrr

[@pakarmyisizindabad6206]

Its good for basic level, but this equation not holds in theory of machines

[@suryasabu20]

the number of degrees of freedom of a system of three particles moving on a plane.Explain?

[@Mathematics-_Sir.Talhas]

6

[@hurmatparvaiz5878]

😇

[@Mathematics-_Sir.Talhas]

3

[@malubhai13]

6

[@amansheikh181]

6dgree

[@shreeharshahc1163]

3n-3n+6=6

[@nishantkumar-cb1mi]

Koi real life example btaoo...??

[@mathOgenius]

we have six degrees of freedom ..

[@lakshminarayanan5242]

degree of freedom of rigid body is 3(3)-0 = 9 but it is 6 i dont understand please help

[@mathOgenius]

see for a rigid body we have N particles and in 3 dimensions it will be 3N -(the number of constraints)
the number of constrains in a rigid body are 3N-6 so .. 3N-(3N-6).. hence 6 degrees of freedom.

[@ManojKumar-cj7oj]

Why no. of constraints in a rigid body 3N-6
Please elaborate ❤️
Btw video was lit🔥

[@mathOgenius]

@@ManojKumar-cj7oj here is its explaination physics.stackexchange.com/questions/20954/degree-of-freedom-paradox-for-a-rigid-body

[@ManojKumar-cj7oj]

@@mathOgenius thanks adwenturer,🤗

[@amritha5553]

@@mathOgenius how is the number of constraints 3N-6? Please help

[@mbv1462]

6

[@Akashsharma-tt8zd]

6

[@HackyHumorBites]

6

[@rashmibhatnagar9435]

6

[@ssmukund1688]

6