HW$10$: Continuous Systems A: String, Bars, Beams

Submit as a pdf file on CANVAS.

$10$ pts

A cable with a massless and frictionless slide on one end and fixed on the other has the following properties.

Tension in string $=25N$

String Density $=1k\frac{g}{m}$

String Length, $L=1m$

a$)$ What are the boundary conditions?

b$)$ Derive the expression for the natural frequencies.

c$)$ Write the expression for the mode shapes

d$)$ Draw the first $3$ mode shapes corresponding to the $3$ lowest natural frequencies.