Explain Elastic Spring Forces
Physics

Explain Elastic Spring Forces

An elastic spring is attached to the ceiling. A block with mass m is attached to the spring, and the spring is stretched by the…
What is Harmonic Motion?
Physics

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
Physics

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…
What is Mechanical Equilibrium?
Physics

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
Physics

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
Physics

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
Physics

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.…
Momentum: Mathematical Solution
Physics

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?
Physics

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…
Potential Energy: Mathematical Solution
Physics

Potential Energy: Mathematical Solution

Example: A steelball with mass in = 0.44 kg and radius r = 1.0 cm moves along a rollercoaster. Seven photogates are placed along the…
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