Question

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1. 3 resorturi identice avand constanta elastica K=10N/m sunt legate in serie si resprctiv paralel. Determinati constantele echivalente.

2. Rezolvati aceiasi problema pt cazul im care resorturile au constantele elastice:
K1-10N/m
K2-15N/m
K3-30N/m

1/K3=(1/10 + 1/15 + 1/30) m/N
m/N= N/m
Kp=K1+K2+K3=55N/m

Answer 1

1.

Kp=k1+k2+k3

k1=k2=k3=k

kp=3k=30 N/m

1/ks=1/k1+1/k2+1/k3=3/k=>ks=k/3=10/3 N/m

2.Kp=k1+k2+k3=10+15+30=55 N/m

1/ks=1/k1+1/k2+1/k3=(k2k3+k1k3+k1k2)/k1k2k3=>ks=k1k2k3/(k2k3+k1k3+k1k2)=10•15•30/(15•30+10•30+10•15)=4500/(450+300+150)=4500/900=5 N/m