Need a relation between W,F,M,KE,P,Imp and H (one relation)

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The discussion revolves around finding a single relation that connects work, force, moment, kinetic energy, linear momentum, impulse, and angular momentum in mechanics. The original poster expresses frustration over a past exam question that seems impossible to solve, seeking help before an upcoming final exam. They provide various equations related to the concepts but are unsure if their solution attempts are correct. The conversation highlights the complexity of integrating these fundamental mechanics concepts into one cohesive relation. Ultimately, the need for clarity in understanding these relationships is emphasized.
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hi I'm in faculty of engineering.. and i study mechanics III .. there's a question that the doctor brought in the exam years ago.. and i couldn't solve it and its probably going to be in the final exam tomorow..

Homework Statement



The question is simply: Find a relation (one relation) between all of those (Work, Force, Moment, kinetic energy, linear momentum, impulse, angular momentum)
the question is like an impossible one !
thnx all

Homework Equations



U:work T:kinetic energy F:force M:moment Imp:impulse Q:linear momentum H:angular momentum ω:angular velocity θ:angle

U1->2 = T2-T1
T = (1/2)mv2 + (1/2)Iω2
U1->2 = ʃ Fdr
rotation motion. U1->2 = Mdθ
Q=mv
Imp1->2 = ʃ Fdt
Imp1->2 = Q2 - Q1
∑ ʃ Mdt = Ho1 - Ho2

The Attempt at a Solution



U1->2 = T2 - T1 = ʃ Fdr = M(θ2 - θ1) = ʃ Qdv

rxImp1-2 = ∑ ʃ Mdt = H2 - H1
 
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this solution is right?
 
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