07:34Rotational Inertia of a Slender Rod of NON-UNIFORM Mass Density (See Note in Description.)lasseviren1687views
Textbook Question(III) Determine the moment of inertia of a uniform solid cone whose base has radius R₀, height L and mass M. The axis of rotation (𝒵) is the symmetry axis perpendicular to the base, Fig. 10–66. [Hint: Think of the cone as a stack of infinitesimally thin disks of mass dm, radius R, and thickness dz.]<IMAGE>122views
Textbook QuestionA 25 kg solid door is 220 cm tall, 91 cm wide. What is the door's moment of inertia for (a) rotation on its hinges323views2comments
Textbook QuestionA 12-cm-diameter DVD has a mass of 21 g. What is the DVD's moment of inertia for rotation about a perpendicular axis (b) through the edge of the disk?212views
Textbook QuestionA rod of length L and mass M has a nonuniform mass distribution. The linear mass density (mass per length) is λ = cx^2 , where x is measured from the center of the rod and c is a constant. b. Find an expression for c in terms of L and M.255views
Textbook Question(III) Integrate to derive the formula for the moment of inertia of a uniform thin rod of length ℓ about an axis through its center, perpendicular to the rod (see Fig. 10–21f).89views
Textbook QuestionThe density (mass per unit length) of a thin rod of length ℓ increases uniformly from λ₀ at one end to 3λ₀ at the other end. Determine the moment of inertia about an axis perpendicular to the rod through its geometric center.128views
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