All questions
AP Physics C: Mechanics
5.4 Rotational Inertia
IntermediateMCQMathematical16.2k
A horizontal axis labeled x points to the right. A thin horizontal rod of length L lies along the axis with its left end positioned at x = 0 and its right end at x = L. A small open circle at x = 0 marks the location of the perpendicular pivot axis. The interior shading of the rod transitions smoothly from light gray at x = 0 to dark gray at x = L to represent the linearly increasing mass density. A horizontal dimension line below the rod with vertical end ticks spans from x = 0 to x = L and is labeled L. No other labels, lines, text, or axes appear.
Non-uniform rod of length \(L\) positioned along the \(x\)-axis.
A thin, non-uniform rod of total mass \(M\) and length \(L\) is oriented along the \(x\)-axis between \(x = 0\) and \(x = L\). The linear mass density of the rod varies with position according to \(\lambda(x) = bx\), where \(b\) is a positive constant. Which of the following expressions represents the correct integral setup to determine the rotational inertia \(I\) of the rod about an axis perpendicular to the rod through the end at \(x = 0\)?

Log In to Continue

Accounts are free! Log in to try this question, see explanations, save progress, and more!

Similar Questions

Tools for a 5

The Quiz Lab library of AP Physics quizzes AP aligned mock tests to help you get a 5. With grading, adaptive explanations, and more. Find a Quiz Find, solve, and grade every AP FRQ ever. Find an FRQ Stuck on AP Physics C: Mechanics? Get unstuck with an AP specialist.1 to 1 tutors who know the exam inside out. Understand weeks of material in a single session.Find a Tutor Learn AP Physics from scratch, quickly. This is the only course you'll need for the year. A self-paced course with everything you need to get a 5. Trusted by over 15,000 students and 200+ schools. Learn fast, or we'll refund your purchase, backed by our 100% satisfaction guarantee. Explore the Course