Formulario

It seems like you've provided a list of physics formulas and concepts related to mechanics, particularly focusing on circular motion, Newton's laws, forces, and friction. Here is an organized summary: 1. **Circular Motion:** - Uniform Circular Motion: - Angular velocity: \(\omega = \frac{d\theta}{dt}\) - Centripetal acceleration: \(a_c = \omega^2 r\) or \(a_c = \frac{v^2}{r}\) - Accelerated Circular Motion: - Tangential acceleration: \(a_t = \alpha r\) 2. **Newton's Laws of Motion:** - First Law (Inertia): A body at rest stays at rest, and a body in motion stays in motion unless acted upon by an external force. - Second Law (F=ma): - Force: \(F = ma\) - Differential form: \(\sum F_i = m \frac{d^2 x}{dt^2}\) - Impulse-momentum theorem: \(\int_{t_1}^{t_2} F(t) dt = \Delta p = m(v_f - v_i)\) - Third Law (Action and Reaction): For every action, there is an equal and opposite reaction. 3. **Forces in Mechanics:** - Weight: \(F_g = mg\) - Normal force on a plane: \(N + F_{g\perp} = m a_\perp\) or \(N = mg \cos(\theta)\) for static conditions - Tension in a string (static): \(T = mg \sin(\theta)\) - Friction: - Static friction: \(F_s \leq \mu_s N\) - Kinetic friction: \(F_k = \mu_k N\) 4. **Additional Concepts:** - Component of force: \(F_x = F \cos(\theta)\), \(F_y = F \sin(\theta)\) - Coefficient of friction: \(\mu_s, \mu_k\) (static and kinetic respectively) These formulas cover a wide range from basic kinematics to more complex scenarios involving forces and their interactions. If you need further explanations or examples for any specific topic, feel free to ask!