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The uniform rod AB of mass 10 kg can rotate about an axis at A and is connected to a triangle wooden block of mass 50 kg and height h, 0.15 m to formm a composite pendulum as shown in i) Formulate the equation of motion for small oscillations of the pendulum. ii) Determine the natural period of oscillations.

The uniform rod AB of mass 10 kg can rotate about an axis at A and is connected to a triangle wooden block of mass 50 kg and height h, 0.15 m to formm a composite pendulum as shown in i) Formulate the equation of motion for small oscillations of the pendulum. ii) Determine the natural period of oscillations.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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The uniform rod AB of mass 10 kg can rotate about an axis at A and is connected to a triangle wooden block of mass 50 kg and height h, 0.15 m to form a composite pendulum as shown in i) Formulate the equation of motion for small oscillations of the pendulum. ii) Determine the natural period of oscillations. Note: The mass moment of inertia of a rod, mass m, length L, about its centroidal axis and perpendicular to the rod is l= m?/12. The triangle wooden block has a mass moment of inertia of 0.375 kgm?. The centroid of the triangle is 1/3h from the center. A 0.36 m B h= 0.15 m G H3
Transcribed Image Text:The uniform rod AB of mass 10 kg can rotate about an axis at A and is connected to a triangle wooden block of mass 50 kg and height h, 0.15 m to form a composite pendulum as shown in i) Formulate the equation of motion for small oscillations of the pendulum. ii) Determine the natural period of oscillations. Note: The mass moment of inertia of a rod, mass m, length L, about its centroidal axis and perpendicular to the rod is l= m?/12. The triangle wooden block has a mass moment of inertia of 0.375 kgm?. The centroid of the triangle is 1/3h from the center. A 0.36 m B h= 0.15 m G H3
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