This lesson explores the relationship between work done by torque and a body's rotational kinetic energy. It covers the application of the work-kinetic energy theorem for rotating bodies, explains how to calculate work done by constant...

This content walks through a multi-step physics problem involving a block sliding down a frictionless surface and undergoing an inelastic collision with a pivoted rod, causing the combined system to swing upwards. It demonstrates the...

This content explores the kinetic energy of a rolling object, comprising both rotational kinetic energy (1/2 I omega^2) and translational kinetic energy (1/2 M v_com^2). It emphasizes energy conservation in rolling, the crucial role of...

This content solves a multi-part physics problem involving a solid ball that first rolls smoothly along a horizontal path, then up a ramp onto a plateau, and finally launches horizontally to land at a specific distance. It demonstrates...

This content analyzes the motion of a hollow sphere rolling without slipping up an incline. It demonstrates how to determine the initial rotational and translational kinetic energies from the total, calculate the initial speed of the...

Dive into Unit 6 of AP Physics 1: Energy and Momentum of Rotating Systems! This video covers rotational kinetic energy, torque, work, angular momentum, rolling without slipping, and conservation laws. Watch as we connect linear and...

Calculus based review of moment of inertia for a system of particles and a rigid object with shape, the derivation of rotational kinetic energy, derivations of the following moments of inertia: Uniform Thin Hoop about is Cylindrical...

Mass 1 and mass 2 hang from either side of a frictionless #pulley with #rotationalInertia, I, and radius, R. What is the angular acceleration of the pulley? Use #ConservationOfEnergy

Determine the #Acceleration of a uniform, solid cylinder #RollingWithoutSlipping down an #Incline with incline angle θ. The rotational inertia of a uniform, solid cylinder about its long cylindrical axis is ½MR^2. Assume the cylinder...

Three 20.0-gram masses are 9.4 cm from an axis of rotation and rotating at 152 revolutions per minute. What is the moment of inertia of the three-object system? The strings holding the masses are of negligible mass. Rotational Kinetic...

The concept of kinetic energy applied to a stationary, rotating wheel is used to define Moment of Inertia and derive Rotational Kinetic Energy. Moment of Inertia is demonstrated.

A hollow sphere, solid sphere, and thin hoop are simultaneously released from rest at the top of an #incline. Which will reach the bottom first? Assume all objects are of uniform density. #RollingWithoutSlipping

When a point particle is moving along a circle, should we use the translational or rotational kinetic energy equation? Should we use the point particle or rigid object with shape equation for angular momentum? The equations are also...