The two are related by: \[\begin{aligned} ds = Rd\theta\end{aligned}\] The mass element, \(dm\), can then be expressed in terms of the mass per unit length of the wire and the length, \(Rd\theta\), of...The two are related by: \[\begin{aligned} ds = Rd\theta\end{aligned}\] The mass element, \(dm\), can then be expressed in terms of the mass per unit length of the wire and the length, \(Rd\theta\), of the mass element: \[\begin{aligned} dm = \lambda ds = \lambda Rd\theta\end{aligned}\] We also need to express the \(y\) position of the mass element using \(\theta\): \[\begin{aligned} y = R\sin\theta\end{aligned}\] Now that we have expressed \(dm\) and \(y\) in terms of \(\theta\), we can determi…
