Equilibrium of a Rigid Body
>> A rigid body is in equilibrium when all forces acting on it sum to zero AND all torques sum to zero. This means the body won't accelerate linearly or rotationally. You need to satisfy two independent conditions: ΣF =…
Every StudyAI plan writes notes with a different AI model. Read a few from each and see the difference for yourself: Free uses our fastest model, Basic uses Claude Haiku, and Pro uses Claude Sonnet, with deeper explanations and worked examples, and Pro Plus gives Claude Sonnet room for the longest, most thorough notes.
Open both and compare: the clearest way to see what an upgrade changes.
>> A rigid body is in equilibrium when all forces acting on it sum to zero AND all torques sum to zero. This means the body won't accelerate linearly or rotationally. You need to satisfy two independent conditions: ΣF =…
>> A function is continuous if its graph has no breaks or jumps; it's differentiable if it has a well-defined slope everywhere. Area functions (antiderivatives) are always continuous, but they're only differentiable…
>> The Fundamental Theorem of Calculus Part 1 tells you that if you define a function as the area under a curve from a fixed point to a variable point, then differentiating that function gives you back the original…
>> If you know a function's derivative and one value of the original function, you can rebuild the whole thing using a definite integral. The fundamental theorem of calculus says: if you integrate the derivative from a…
>> FTC 2 says: if you want to compute a definite integral, find an antiderivative of the integrand, then evaluate it at the upper limit minus the lower limit. This turns integration—which used to mean "find the area…
>> The Fundamental Theorem of Calculus requires the integrand to be continuous on the interval, but differentiability of the antiderivative breaks down at discontinuities. You need to understand which regularity…
>> Moment of inertia is a property that measures how hard it is to spin an object—the farther mass sits from the rotation axis, the larger it is. It plays the same role in rotational motion that mass plays in linear…
>> [58 words] Rotational motion describes how objects spin around a fixed axis using angular versions of linear concepts: angular displacement (θ), angular velocity (ω), and angular acceleration (α). Torque (τ = r × F)…
>> [58 palabras] Iván Pávlov descubrió accidentalmente el condicionamiento clásico mientras estudiaba la digestión en perros: notó que los animales salivaban antes de recibir comida si escuchaban sonidos asociados con…
>> Watson revolucionó la psicología al argumentar que solo el comportamiento observable importa, no los estados mentales. Publicó su "Manifiesto Conductista" en 1913, rechazando la introspección y proponiendo que la…
>> [50 palabras] John B. Watson revolucionó la psicología negando la conciencia como objeto de estudio y proponiendo que el comportamiento observable era el único dato legítimo. Desarrolló un sistema donde los estímulos…
>> El conductismo clásico se fundamenta en experimentos rigurosos que demuestran cómo los estímulos condicionan la conducta observable. Desde Pavlov hasta Skinner, la evidencia experimental transformó la psicología en…
John B. Watson revolucionó la psicología al proponer que la conducta observable era el único objeto científico legítimo, rechazando la introspección y el mentalismo. Su enfoque materialista y mecanicista dominó la…
>> A psicologia evoluiu de uma disciplina filosófica para uma ciência empírica, passando por três períodos principais: a psicologia pré-científica (filosofia e fisiologia), a fundação científica (Wundt, James), e a…
>> Effective exam study isn't about cramming for hours; it's about understanding how your brain actually learns and retains information. You'll cover spaced repetition, active recall, and deliberate practice — the three…
>> Deep dive learning means systematically breaking a complex topic into its smallest parts, understanding how each piece connects, then rebuilding your knowledge until you can explain it to someone else. It replaces…
>> Review isn't just re-reading your notes—it's retrieving what you know from memory, spacing sessions over days or weeks, and testing yourself to close gaps. Spaced retrieval beats cramming because your brain needs…
>> A force is a push or pull that changes how something moves. Newton's three laws tell you exactly how forces work: objects don't change speed unless a force acts on them, the force you apply equals the effect you get…
>> Work is force applied over distance; energy is the capacity to do work. Simple machines (levers, pulleys, ramps) don't save energy, but they trade force for distance—use less force over more distance. Understanding…
>> Forces make things accelerate, and understanding this helps you predict what happens when cars brake, planes take off, or crashes occur. You'll use distance-time graphs, Newton's laws, and the idea of balanced forces…
>> [58 words] Kinematics describes motion using position, velocity, and acceleration; dynamics explains why things move by connecting forces to acceleration via Newton's second law. Advanced problem-solving links these…