Complete Question
A wave is described by y(x,t) = 0.1 sin(3x + 10t), where x is in meters, y is in centimetres and t is in seconds. The angular wave frequency is
Answer:
The value is
Explanation:
From the question we are told that
The equation describing the wave is y(x,t) = 0.1 sin(3x + 10t)
Generally the sinusoidal equation representing the motion of a wave is mathematically represented as
Where w is the angular frequency
Now comparing this equation with that given we see that
Given:
Applied stress,
Critical Resolved Stress,
Solution:
a). According to the question, orientation of tensile load is along [1 1 1],
Now, for resolved shear stress, along [1 0 1] within (1 1 T)
let '' be the angle between [1 1 1] and [1 0 1], then by coordinate formula:
=
=
let '' be the angle between [1 1 1] and [1 1 1], then by coordinate formula:
= 1
Now, for the resolved components along [1 0 1]
=
=
= 0.3673 MPa
b). For required tensile stress to produce :