Calculus based review of equations I suggest you memorize for the AP Physics C: Mechanics Exam. Please realize I abhor memorization, however, there are a few equations which I do recommend you memorize. I also list equations NOT to...

Deriving the Parallel Axis Theorem for moment of inertia or rotational inertia.

Thin Rod example of the Parallel Axis Theorem

A basic rotational form of Newton’s Second Law problem with only one force.

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...

That’s right, we actually measure the rotational inertia of a bicycle wheel. How cool is that?

The second moment of area (or moment of inertia of area) about the x or y axis can be found using the integral of y^2 dA and x^2 dA respectively. <b<br/>r/>

The larger the moment of inertia, the greater resistance to bending / rotation.

To find the second moment of area about the x axis use

Ix = /int y

^2 dA

To find the second moment of area about
the y axis use<

br/>Iy = /int x^2 dA

In this video I solve this problem using the double integral...

In this video I use the double integral to solve for the moment of inertia of area of a triangle about a vertex



Ix = /

int y^2 dA

This can also be done without using double integrals if we choose a 'larger' value of...

Here I calculate the second moment of area (moment of inertia) for an I beam. The easiest way to do this is to find the moment of inertia of each of the rectangles about the I beams centroid (note you'll have to use the parallel axis...

Calculus based review of the cross product torque equation, how to do a unit vector cross product problem, rotational equilibrium, the rotational form of Newton’s second law, the angular momentum of a particle and of a rigid object with...

Here I prove the result that the sum of moments about the center of mass = I_G alpha and the sum of moments about a fixed point = I_o alpha.

Deriving the integral equation for the moment of inertia or rotational inertia of a uniform solid cylinder.

Review of the Rotational Dynamics topics covered in the AP Physics 1 curriculum.

We use integrals to derive the #rotationalinertia of a uniform, long, thin rod. And we demonstrate our answer is correct using a Rotational Inertia Demonstrator.

1) Calculating if our answer makes sense. 2) Why can’t we sum the torques on everything? 3) Finding the force of tension.

A uniform 0.093 kg meterstick is supported at the 15 cm and 92 cm marks. When a 0.250 kg object is placed at the 6.0 cm mark, what are the magnitudes of the forces supporting the meterstick?

The moment of inertia of a system of particles equation is used to estimate six different moments of inertia of rigid objects with constant density.

Ix is the second moment of area about the x axis. Choosing the value of dA is the important part for this problem. In this example where we're dealing with a section of a circle, it's easier to use cylindrical coordinates dA = r dr...

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...

Deriving the integral equation for the moment of inertia of a rigid body. Also deriving the rotational inertia of a uniform thin hoop. Want Lecture Notes?f='http://www.flippingphysics.com/rotati...
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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.

Angular momentum of a rigid body is demonstrated and derived. This is an AP Physics C: Mechanics topic. <br<br/>/>

Content Ti<br/>mes:
0:00<br/> The Demonstration
1:20 The Derivation
4:15 Newton’s Second Law

Find the acceleration of the center of mass of the disk. 1. Use F = ma AND M = I alpha 2. Assume pure roll ie a = r alpha 3. Check validity of assumption ie, F less than Fmax 4. If F less than Fmax, THEN assumption is true 5. If F...