What is Harmonic Motion?

What is Harmonic Motion?

We consider the uniform motion of a point along a circle of radius A. Light produces a shadow on a screen. The motion of the…
Rotational Dynamics: Mathematics Examples

Rotational Dynamics: Mathematics Examples

Example: A Yo-Yo is a uniform disk with mass m = 0.24 kg, outer radius R = 0.12 m, and inner radius r = 0.08…
Mechanical Equilibrium: Mathematical Examples

Mechanical Equilibrium: Mathematical Examples

Example 1: A block with mass M = 5.1 kg sits on a massless plank of length L = 2.3 m. The plank is supported…
What is Mechanical Equilibrium?

What is Mechanical Equilibrium?

We consider a meter stick that is free to rotate about a fixed axis (at the end). Intuition tells us that the applied force F…
Explain Rolling Motion Theory with Mathematical Solution

Explain Rolling Motion Theory with Mathematical Solution

We consider a wheel with radius r that rolls without slipping. This means that the distance d is equal to arc-length s = rθ, d…
Rotational Kinematics: Mathematical Examples

Rotational Kinematics: Mathematical Examples

Angular displacement is defined, Δθ = (arc length / radius) = s/r For a full circle θ = 2π rad. Note that rad is not…
Define Collisions with Mathematical Exampls

Define Collisions with Mathematical Exampls

The momentum is conserved, but the mechanical energy is not conserved in the example with a person throwing the dumbbell while standing on a skateboard.…
Center of Mass: Mathematical Solution

Center of Mass: Mathematical Solution

Example: Two people with masses m1 = 45.1 kg and m2 = 65.2 kg are standing on the left and right side of a 4.2 m…
Momentum: Mathematical Solution

Momentum: Mathematical Solution

Example : A person [mass mp = 43 kg] is standing on a skateboard [mass mb = 2 kg ] at rest, while holding a…
What is Momentum in Kinetic Energy Theorem?

What is Momentum in Kinetic Energy Theorem?

When a ball bounces off a wall, it is reflected with the same speed but travels in the opposite direction: v → -v The kinetic…
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