Ravnilostrel

Pogoj za začetek gibanja pokrovčka

$$F_p\ge F_l+F_{l,tla}$$

$$2F_v\sin \frac{{\phi }_0}{2}\ge 2F_v{k}_l\cos \frac{{\phi }_0}{2}+mg{k}_{l,tla}$$

Pokrovček v ravnilostrelu

$$F_{p,1}=2F_v\sin \frac{\phi }{2}$$

$$F_{t,1}=2F_v{k}_t\cos \frac{\phi }{2}$$

$$F_{t,tla,1}=mg{k}_{t,tla}$$

$$s_1=\frac{R}{\sin \frac{\phi }{2}}$$

$$d{s}_1=-\frac{R\cos \frac{\phi }{2}}{2{\sin }^2\frac{\phi }{2}}d\phi$$

$${\phi }_{\ast }=2\arctan \frac{R}{l}$$

$$W_{k,1}=A_1={\int }_{{\phi }_0}^{{\phi }_{\ast }}(F_{p,1}-F_{t,1}-F_{t,tla,1})d{s}_1$$

Pokrovček na robu ravnilostrela

$$F_{p,2}=2F_v\sin \frac{\phi }{2}$$

$$F_{t,2}=2F_v\cos (\frac{\pi }{2}-\vartheta -\frac{\phi }{2})k_t\sin \vartheta =2F_v\sin (\vartheta +\frac{\phi }{2})k_t\frac{l}{R}\sin \frac{\phi }{2}$$

$$F_{t,tla,2}=mg{k}_{t,tla}$$

$$\vartheta =\arcsin \left(\frac{l\sin \left(\frac{\phi }{2}\right)}{R}\right)$$

$$s_2=\frac{R\sin (\pi -\vartheta -\frac{\phi }{2})}{\sin \frac{\phi }{2}}$$

$$d{s}_2=[\frac{R\cos (\frac{\phi }{2}+\vartheta )}{\sin \left(\frac{\phi }{2}\right)}(\frac{l\cos \left(\frac{\phi }{2}\right)}{2R\sqrt{1-{\left(\frac{l\sin \left(\frac{\phi }{2}\right)}{R}\right)}^2}}+\frac{1}{2})-\frac{R\sin (\frac{\phi }{2}+\vartheta )\cos \left(\frac{\phi }{2}\right)}{2{\sin }^2\left(\frac{\phi }{2}\right)}]d\phi$$

$$W_{k,2}=A_2={\int }_{{\phi }_{\mathrm{*}}}^{0_{}}(F_{p,2}-F_{t,2}-F_{t,tla,2})d{s}_2$$

Izstopna hitrost pokrovčka

Če je W_k,1 < 0 pomeni, da se je pokrovček ustavil v ravnilostrelu, takrat kraka oklepata kot φ_stop. Velja:

$${\int }_{{\phi }_0}^{{\phi }_{stop}}(F_{p,1}-F_{t,1}-F_{t,tla,1})d{s}_1=0,$$

drugače pa je izstopna hitrost

$$v=\sqrt{\frac{2(W_{k,1}+W_{k,2})}{m}}.$$