13. Rotational Inertia & Energy

Rotational Dynamics with Two Motions

Rotational motion: Finding the velocity of the hanging mass and angular momentum of the sphere.

Rotational Dynamics (part II)

When you release a simple 100-g yo-yo from rest, it falls and rolls, unwinding the light string around its cylindrical shaft, which is 2 cm in radius. If the yo-yo can be modeled after a solid disc, calculate its linear acceleration.

Rotational Dynamics:  The Simple Yo-Yo Problem

Pulley Physics Problem - Finding Acceleration and Tension Force

Physics - Application of the Moment of Inertia (6 of 11) Acceleration=? When Pulley Has Mass (mu=0)

α = g(m1−m2) / (m1+m2)

α = (g/R)(m1−m2) / (m1+m2+M)

α = (g/R)(m1+m2) / (m1+m2+M)

α = (g/R)(m1−m2) / (m1+m2+M/2)

Two blocks of masses m1 and m2 are both attached to a long, light rope that is wrapped several times around a pulley, as shown below. The pulley has mass M and radius R, can be modeled as a solid cylinder, and is free to rotate about a fixed, frictionless axis perpendicular to itself and through its center. When the block is released from rest, it begins to fall, causing the pulley to unwind without slipping. Derive an expression for the angular acceleration of the pulley.<img src="https://static.studychannel-prd.pearsonprd.tech/courses/physics/thumbnails/images/eb238f6c"alt=""/>

Acceleration of block on a pulley

Angular Momentum and a Pulley Mass System

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1. Intro to Physics Units

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3. Vectors

4. 2D Kinematics

5. Projectile Motion

6. Intro to Forces (Dynamics)

7. Friction, Inclines, Systems

8. Centripetal Forces & Gravitation

9. Work & Energy

10. Conservation of Energy

11. Momentum & Impulse

12. Rotational Kinematics

14. Torque & Rotational Dynamics

15. Rotational Equilibrium

16. Angular Momentum

17. Periodic Motion

18. Waves & Sound

19. Fluid Mechanics

20. Heat and Temperature

21. Kinetic Theory of Ideal Gases

22. The First Law of Thermodynamics

23. The Second Law of Thermodynamics

24. Electric Force & Field; Gauss' Law

25. Electric Potential

26. Capacitors & Dielectrics

27. Resistors & DC Circuits

28. Magnetic Fields and Forces

29. Sources of Magnetic Field

30. Induction and Inductance

31. Alternating Current

32. Electromagnetic Waves

33. Geometric Optics

34. Wave Optics

35. Optical Instruments

36. Special Relativity

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Rotational Dynamics of Rolling Motion

Types of Motion & Energy

Torque with Kinematic Equations

Intro to Moment of Inertia

Energy of Rolling Motion

Intro to Rotational Kinetic Energy

Conservation of Energy in Rolling Motion

Moment of Inertia via Integration

Moment of Inertia & Mass Distribution

Conservation of Energy with Rotation

Parallel Axis Theorem

Moment of Inertia of Systems

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Data Analysis Fundamentals with Excel

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Learn Enough JavaScript to be Dangerous: A Tutorial Introduction to Programming with JavaScript