Starting from the differential equation for a 1-degree of freedom system with mass m, damping c and spring stiffness a: a- show that the particular solution for the equation with an applied force f, cos(or). ie., mx+cx+x-f, cos(or) can be expressed as x t)-a, cos(or)+a^ sin(wt) and find the values of al and a2 that solve the differential equation in terms of m, c, k and . 5 points. b. use the result from part a to find the value of frequency co of the applied force that maximizes the amplitude of the oscillations of the forced response and show that the value differs from the natural frequency of the undamped system by a term that is equal to one when c-0. 5 points. c- use the results from part a to find an expression for the load transmitted to the foundation ct+kx and find an expression for its maximum value in terms of m, c, k and deduce that expression from the given solution for the vibrations of the system and express the final result using the non-dimensional variables r and defined in the lab 5 handout.

waves moving from a fast medium to a slow medium will experience a reflection as light travels more slowly than red light. total internal reflection occurs when the critical angle is.

electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia

magnets not strong enough

explanation: