Ten questions. The result tells you which lessons you may skip.
A string with a mass per unit length of \(0.01\,\text{kg/m}\) is under a tension of \(64\,\text{N}\). The speed of a transverse wave on it is
In the derivation of the wave speed, what gives a small segment of the string its vertical acceleration?
A string \(1.0\,\text{m}\) long has a mass of \(10\,\text{g}\) and a tension of \(100\,\text{N}\). The wave speed on it is
A heavy rope \(20\,\text{m}\) long hangs from a ceiling. Take \(g = 10\,\text{m/s}^2\). A pulse made at its free bottom end reaches the top after about
A pulse climbs a heavy rope hanging from a support. Its acceleration is
The mass per unit length of a string is made four times as large at the same tension. The wave speed becomes
At one instant, where along a travelling sine wave on a string are the kinetic and the potential energy greatest?
For a harmonic wave on a string, the kinetic energy \(dK\) and the potential energy \(dU\) of a small segment are
A harmonic wave of amplitude \(0.1\,\text{m}\) and angular frequency \(50\,\text{rad/s}\) travels on a string with \(\mu = 0.02\,\text{kg/m}\). Its average energy per unit length is
The amplitude of a harmonic wave on a string is halved, with the frequency and the string unchanged. The average power becomes