Answer:
The interference of two sound waves of similar amplitude but slightly different frequencies produces a loud-soft-loud oscillation we call <u>beats</u>.
Explanation:
When two objects vibrate at different frequencies, a fluctuating sound is heard, (loud-soft-loud). This phenomenon is known as beating. Loud sound is caused by constructive interference, and soft sound is caused by destructive interference.
Answer:
At top vertical componant of velocity is zero
The statement is false. Sound REQUIRES a material medium
in order to propagate from one place to another..
<span>Electromagnetic and mechanical waves differ in that electromagnetic waves are always longitudinal and do not require a known medium, while mechanical waves are either longitudinal or compression waves and require a medium. All known electromagnetic waves are also known as forms of light.</span>
Given:
k = 100 lb/ft, m = 1 lb / (32.2 ft/s) = 0.03106 slugs
Solution:
F = -kx
mx" = -kx
x" + (k/m)x = 0
characteristic equation:
r^2 + k/m = 0
r = i*sqrt(k/m)
x = Asin(sqrt(k/m)t) + Bcos(sqrt(k/m)t)
ω = sqrt(k/m)
2π/T = sqrt(k/m)
T = 2π*sqrt(m/k)
T = 2π*sqrt(0.03106 slugs / 100 lb/ft)
T = 0.1107 s (period)
x(0) = 1/12 ft = 0.08333 ft
x'(0) = 0
1/12 = Asin(0) + Bcos(0)
B = 1/12 = 0.08333 ft
x' = Aω*cos(ωt) - Bω*sin(ωt)
0 = Aω*cos(0) - (1/12)ω*sin(0)
0 = Aω
A = 0
So B would be the amplitude. Therefore, the equation of motion would be x
= 0.08333*cos[(2π/0.1107)t]
