PhysicsExplain 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…
PhysicsWhat 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…
PhysicsRotational 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…
PhysicsWhat 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…
PhysicsExplain 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…
PhysicsRotational 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…
PhysicsDefine 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.…
PhysicsMomentum: Mathematical Solution Example : A person [mass mp = 43 kg] is standing on a skateboard [mass mb = 2 kg ] at rest, while holding a…
PhysicsWhat 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…
PhysicsPotential 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…