Further Mathematics 9231: Rotation of a rigid body Topical Past Paper Questions
Cambridge AS & A Level Further Mathematics (9231) past-paper questions on Rotation of a rigid body, free. This topic is occasionally examined across 21 exam sessions. Sign in for the full topic-segregated question bank and AI worksheets.
Sample questions
A particle P of mass m is attached to one end of a light inextensible rod of length 3a. An identical particle Q is attached to the other end of the rod. The rod is smoothly pivoted at a point O on the rod, where $ OQ = x $. The system, of rod and particles, rotates about O in a v…
A thin uniform rod AB has mass $ \lambda M $ and length $ 2a $. The end A of the rod is rigidly attached to the surface of a uniform hollow sphere (spherical shell) with centre O, mass $ 3M $ and radius a. The end B of the rod is rigidly attached to the surface of a uniform solid…
A uniform disc, of radius a and mass 2M, is attached to a thin uniform rod AB of length 6a and mass M. The rod lies along a diameter of the disc, so that the centre of the disc is a distance x from A (see diagram). (i) Find the moment of inertia of the object, consisting of disc…
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