a_τ = V^′ = ερ

$$a_{n} = \frac{V^{2}}{\rho} = \omega^{2}\rho$$

V = V₀ + at = ωρ

$$\varepsilon = \omega^{'} = \varphi^{''} = \frac{a}{\rho}$$

$$\omega = \varepsilon t = \varphi^{'} = \frac{V}{\rho}$$

$$\varphi = \frac{\varepsilon t^{2}}{2}$$

Sprężyna: $F = c*x = c\frac{\rho^{2}}{2}$

$$F_{\text{od}} = \frac{mV^{2}}{\rho}$$

W_Z + V₁ + E₁ = V₂ + E₂

W_Z + V = E

• Ruch postępowy $E = \frac{mV^{2}}{2}$

• Ruch obrotowy $E = \frac{I_{\text{Zc}}\omega^{2}}{2}$

• Ruch płaski $E = \frac{mV^{2}}{2} + \frac{I_{\text{Zc}}\omega^{2}}{2}$

Momenty bezwładności:

• Kula: $I_{0} = \frac{3}{5}mr^{2}\ ,\ I_{c} = \frac{2}{5}mr^{2}$

• Tarcza,walec: $I_{c} = \frac{1}{2}mr^{2}$

• Stozek: $I_{0} = \frac{3}{20}mr^{2}$ ,$I_{c} = \frac{3}{10}mr^{2}$

a_τ = V^′ = ερ

$$a_{n} = \frac{V^{2}}{\rho} = \omega^{2}\rho$$

V = V₀ + at = ωρ

$$\varepsilon = \omega^{'} = \varphi^{''} = \frac{a}{\rho}$$

$$\omega = \varepsilon t = \varphi^{'} = \frac{V}{\rho}$$

$$\varphi = \frac{\varepsilon t^{2}}{2}$$

Sprężyna: $F = c*x = c\frac{\rho^{2}}{2}$

$$F_{\text{od}} = \frac{mV^{2}}{\rho}$$

W_Z + V₁ + E₁ = V₂ + E₂

W_Z + V = E

• Ruch postępowy $E = \frac{mV^{2}}{2}$

• Ruch obrotowy $E = \frac{I_{\text{Zc}}\omega^{2}}{2}$

• Ruch płaski $E = \frac{mV^{2}}{2} + \frac{I_{\text{Zc}}\omega^{2}}{2}$

Momenty bezwładności:

• Kula: $I_{0} = \frac{3}{5}mr^{2}\ ,\ I_{c} = \frac{2}{5}mr^{2}$

• Tarcza,walec: $I_{c} = \frac{1}{2}mr^{2}$

• Stozek: $I_{0} = \frac{3}{20}mr^{2}$ ,$I_{c} = \frac{3}{10}mr^{2}$

a_τ = V^′ = ερ

$$a_{n} = \frac{V^{2}}{\rho} = \omega^{2}\rho$$

V = V₀ + at = ωρ

$$\varepsilon = \omega^{'} = \varphi^{''} = \frac{a}{\rho}$$

$$\omega = \varepsilon t = \varphi^{'} = \frac{V}{\rho}$$

$$\varphi = \frac{\varepsilon t^{2}}{2}$$

Sprężyna: $F = c*x = c\frac{\rho^{2}}{2}$

$$F_{\text{od}} = \frac{mV^{2}}{\rho}$$

W_Z + V₁ + E₁ = V₂ + E₂

W_Z + V = E

• Ruch postępowy $E = \frac{mV^{2}}{2}$

• Ruch obrotowy $E = \frac{I_{\text{Zc}}\omega^{2}}{2}$

• Ruch płaski $E = \frac{mV^{2}}{2} + \frac{I_{\text{Zc}}\omega^{2}}{2}$

Momenty bezwładności:

• Kula: $I_{0} = \frac{3}{5}mr^{2}\ ,\ I_{c} = \frac{2}{5}mr^{2}$

• Tarcza,walec: $I_{c} = \frac{1}{2}mr^{2}$

• Stozek: $I_{0} = \frac{3}{20}mr^{2}$ ,$I_{c} = \frac{3}{10}mr^{2}$

a_τ = V^′ = ερ

$$a_{n} = \frac{V^{2}}{\rho} = \omega^{2}\rho$$

V = V₀ + at = ωρ

$$\varepsilon = \omega^{'} = \varphi^{''} = \frac{a}{\rho}$$

$$\omega = \varepsilon t = \varphi^{'} = \frac{V}{\rho}$$

$$\varphi = \frac{\varepsilon t^{2}}{2}$$

Sprężyna: $F = c*x = c\frac{\rho^{2}}{2}$

$$F_{\text{od}} = \frac{mV^{2}}{\rho}$$

W_Z + V₁ + E₁ = V₂ + E₂

W_Z + V = E

• Ruch postępowy $E = \frac{mV^{2}}{2}$

• Ruch obrotowy $E = \frac{I_{\text{Zc}}\omega^{2}}{2}$

• Ruch płaski $E = \frac{mV^{2}}{2} + \frac{I_{\text{Zc}}\omega^{2}}{2}$

Momenty bezwładności:

• Kula: $I_{0} = \frac{3}{5}mr^{2}\ ,\ I_{c} = \frac{2}{5}mr^{2}$

• Tarcza,walec: $I_{c} = \frac{1}{2}mr^{2}$

• Stozek: $I_{0} = \frac{3}{20}mr^{2}$ ,$I_{c} = \frac{3}{10}mr^{2}$

a_τ = V^′ = ερ

$$a_{n} = \frac{V^{2}}{\rho} = \omega^{2}\rho$$

V = V₀ + at = ωρ

$$\varepsilon = \omega^{'} = \varphi^{''} = \frac{a}{\rho}$$

$$\omega = \varepsilon t = \varphi^{'} = \frac{V}{\rho}$$

$$\varphi = \frac{\varepsilon t^{2}}{2}$$

Sprężyna: $F = c*x = c\frac{\rho^{2}}{2}$

$$F_{\text{od}} = \frac{mV^{2}}{\rho}$$

W_Z + V₁ + E₁ = V₂ + E₂

W_Z + V = E

• Ruch postępowy $E = \frac{mV^{2}}{2}$

• Ruch obrotowy $E = \frac{I_{\text{Zc}}\omega^{2}}{2}$

• Ruch płaski $E = \frac{mV^{2}}{2} + \frac{I_{\text{Zc}}\omega^{2}}{2}$

Momenty bezwładności:

• Kula: $I_{0} = \frac{3}{5}mr^{2}\ ,\ I_{c} = \frac{2}{5}mr^{2}$

• Tarcza,walec: $I_{c} = \frac{1}{2}mr^{2}$

• Stozek: $I_{0} = \frac{3}{20}mr^{2}$ ,$I_{c} = \frac{3}{10}mr^{2}$

a_τ = V^′ = ερ

$$a_{n} = \frac{V^{2}}{\rho} = \omega^{2}\rho$$

V = V₀ + at = ωρ

$$\varepsilon = \omega^{'} = \varphi^{''} = \frac{a}{\rho}$$

$$\omega = \varepsilon t = \varphi^{'} = \frac{V}{\rho}$$

$$\varphi = \frac{\varepsilon t^{2}}{2}$$

Sprężyna: $F = c*x = c\frac{\rho^{2}}{2}$

$$F_{\text{od}} = \frac{mV^{2}}{\rho}$$

W_Z + V₁ + E₁ = V₂ + E₂

W_Z + V = E

• Ruch postępowy $E = \frac{mV^{2}}{2}$

• Ruch obrotowy $E = \frac{I_{\text{Zc}}\omega^{2}}{2}$

• Ruch płaski $E = \frac{mV^{2}}{2} + \frac{I_{\text{Zc}}\omega^{2}}{2}$

Momenty bezwładności:

• Kula: $I_{0} = \frac{3}{5}mr^{2}\ ,\ I_{c} = \frac{2}{5}mr^{2}$

• Tarcza,walec: $I_{c} = \frac{1}{2}mr^{2}$

• Stozek: $I_{0} = \frac{3}{20}mr^{2}$ ,$I_{c} = \frac{3}{10}mr^{2}$