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

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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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