Table of contents
- 0. Math Review(0)
- 1. Intro to Physics Units(0)
- 2. 1D Motion / Kinematics(0)
- Vectors, Scalars, & Displacement(0)
- Average Velocity(0)
- Intro to Acceleration(0)
- Position-Time Graphs & Velocity(0)
- Conceptual Problems with Position-Time Graphs(0)
- Velocity-Time Graphs & Acceleration(0)
- Calculating Displacement from Velocity-Time Graphs(0)
- Conceptual Problems with Velocity-Time Graphs(0)
- Calculating Change in Velocity from Acceleration-Time Graphs(0)
- Graphing Position, Velocity, and Acceleration Graphs(0)
- Kinematics Equations(0)
- Vertical Motion and Free Fall(0)
- Catch/Overtake Problems(0)
- 3. Vectors(0)
- Review of Vectors vs. Scalars(0)
- Introduction to Vectors(0)
- Adding Vectors Graphically(0)
- Vector Composition & Decomposition(0)
- Adding Vectors by Components(0)
- Trig Review(0)
- Unit Vectors(0)
- Introduction to Dot Product (Scalar Product)(0)
- Calculating Dot Product Using Components(0)
- Intro to Cross Product (Vector Product)(0)
- Calculating Cross Product Using Components(0)
- 4. 2D Kinematics(0)
- 5. Projectile Motion(0)
- 6. Intro to Forces (Dynamics)(0)
- 7. Friction, Inclines, Systems(0)
- 8. Centripetal Forces & Gravitation(0)
- Uniform Circular Motion(0)
- Period and Frequency in Uniform Circular Motion(0)
- Centripetal Forces(0)
- Vertical Centripetal Forces(0)
- Flat Curves(0)
- Banked Curves(0)
- Newton's Law of Gravity(0)
- Gravitational Forces in 2D(0)
- Acceleration Due to Gravity(0)
- Satellite Motion: Intro(0)
- Satellite Motion: Speed & Period(0)
- Geosynchronous Orbits(0)
- Overview of Kepler's Laws(0)
- Kepler's First Law(0)
- Kepler's Third Law(0)
- Kepler's Third Law for Elliptical Orbits(0)
- Gravitational Potential Energy(0)
- Gravitational Potential Energy for Systems of Masses(0)
- Escape Velocity(0)
- Energy of Circular Orbits(0)
- Energy of Elliptical Orbits(0)
- Black Holes(0)
- Gravitational Force Inside the Earth(0)
- Mass Distribution with Calculus(0)
- 9. Work & Energy(0)
- 10. Conservation of Energy(0)
- Intro to Energy Types(0)
- Gravitational Potential Energy(0)
- Intro to Conservation of Energy(0)
- Energy with Non-Conservative Forces(0)
- Springs & Elastic Potential Energy(0)
- Solving Projectile Motion Using Energy(0)
- Motion Along Curved Paths(0)
- Rollercoaster Problems(0)
- Pendulum Problems(0)
- Energy in Connected Objects (Systems)(0)
- Force & Potential Energy(0)
- 11. Momentum & Impulse(0)
- Intro to Momentum(0)
- Intro to Impulse(0)
- Impulse with Variable Forces(0)
- Intro to Conservation of Momentum(0)
- Push-Away Problems(0)
- Types of Collisions(0)
- Completely Inelastic Collisions(0)
- Adding Mass to a Moving System(0)
- Collisions & Motion (Momentum & Energy)(0)
- Ballistic Pendulum(0)
- Collisions with Springs(0)
- Elastic Collisions(0)
- How to Identify the Type of Collision(0)
- Intro to Center of Mass(0)
- 12. Rotational Kinematics(0)
- 13. Rotational Inertia & Energy(0)
- More Conservation of Energy Problems(0)
- Conservation of Energy in Rolling Motion(0)
- Parallel Axis Theorem(0)
- Intro to Moment of Inertia(0)
- Moment of Inertia via Integration(0)
- Moment of Inertia of Systems(0)
- Moment of Inertia & Mass Distribution(0)
- Intro to Rotational Kinetic Energy(0)
- Energy of Rolling Motion(0)
- Types of Motion & Energy(0)
- Conservation of Energy with Rotation(0)
- Torque with Kinematic Equations(0)
- Rotational Dynamics with Two Motions(0)
- Rotational Dynamics of Rolling Motion(0)
- 14. Torque & Rotational Dynamics(0)
- 15. Rotational Equilibrium(0)
- 16. Angular Momentum(0)
- Opening/Closing Arms on Rotating Stool(0)
- Conservation of Angular Momentum(0)
- Angular Momentum & Newton's Second Law(0)
- Intro to Angular Collisions(0)
- Jumping Into/Out of Moving Disc(0)
- Spinning on String of Variable Length(0)
- Angular Collisions with Linear Motion(0)
- Intro to Angular Momentum(0)
- Angular Momentum of a Point Mass(0)
- Angular Momentum of Objects in Linear Motion(0)
- 17. Periodic Motion(0)
- 18. Waves & Sound(0)
- Intro to Waves(0)
- Velocity of Transverse Waves(0)
- Velocity of Longitudinal Waves(0)
- Wave Functions(0)
- Phase Constant(0)
- Average Power of Waves on Strings(0)
- Wave Intensity(0)
- Sound Intensity(0)
- Wave Interference(0)
- Superposition of Wave Functions(0)
- Standing Waves(0)
- Standing Wave Functions(0)
- Standing Sound Waves(0)
- Beats(0)
- The Doppler Effect(0)
- 19. Fluid Mechanics(0)
- 20. Heat and Temperature(0)
- Temperature(0)
- Linear Thermal Expansion(0)
- Volume Thermal Expansion(0)
- Moles and Avogadro's Number(0)
- Specific Heat & Temperature Changes(0)
- Latent Heat & Phase Changes(0)
- Intro to Calorimetry(0)
- Calorimetry with Temperature and Phase Changes(0)
- Advanced Calorimetry: Equilibrium Temperature with Phase Changes(0)
- Phase Diagrams, Triple Points and Critical Points(0)
- Heat Transfer(0)
- 21. Kinetic Theory of Ideal Gases(0)
- 22. The First Law of Thermodynamics(0)
- 23. The Second Law of Thermodynamics(0)
- 24. Electric Force & Field; Gauss' Law(0)
- 25. Electric Potential(0)
- 26. Capacitors & Dielectrics(0)
- 27. Resistors & DC Circuits(0)
- 28. Magnetic Fields and Forces(0)
- 29. Sources of Magnetic Field(0)
- Magnetic Field Produced by Moving Charges(0)
- Magnetic Field Produced by Straight Currents(0)
- Magnetic Force Between Parallel Currents(0)
- Magnetic Force Between Two Moving Charges(0)
- Magnetic Field Produced by Loops and Solenoids(0)
- Toroidal Solenoids aka Toroids(0)
- Biot-Savart Law (Calculus)(0)
- Ampere's Law (Calculus)(0)
- 30. Induction and Inductance(0)
- 31. Alternating Current(0)
- Alternating Voltages and Currents(0)
- RMS Current and Voltage(0)
- Phasors(0)
- Resistors in AC Circuits(0)
- Phasors for Resistors(0)
- Capacitors in AC Circuits(0)
- Phasors for Capacitors(0)
- Inductors in AC Circuits(0)
- Phasors for Inductors(0)
- Impedance in AC Circuits(0)
- Series LRC Circuits(0)
- Resonance in Series LRC Circuits(0)
- Power in AC Circuits(0)
- 32. Electromagnetic Waves(0)
- 33. Geometric Optics(0)
- 34. Wave Optics(0)
- 35. Special Relativity(0)
6. Intro to Forces (Dynamics)
Vertical Equilibrium & The Normal Force
6. Intro to Forces (Dynamics)
Vertical Equilibrium & The Normal Force: Study with Video Lessons, Practice Problems & Examples
4PRACTICE PROBLEM
Consider a 950-kg truck kept stationary by a light rope on a frictionless slope as shown in the figure. The rope forms an angle of 28° with the slope's surface, and the slope is angled at 20.0° relative to the horizontal. Determine the magnitude of the normal force exerted by the slope on the truck.
![Diagram showing a 950-kg truck on a 20° slope, held by a rope at 28°.](data:image/png;base64,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)
Consider a 950-kg truck kept stationary by a light rope on a frictionless slope as shown in the figure. The rope forms an angle of 28° with the slope's surface, and the slope is angled at 20.0° relative to the horizontal. Determine the magnitude of the normal force exerted by the slope on the truck.