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.

Classical Dynamics of Particles and Systems
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ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter3: Oscillations
Section: Chapter Questions
Problem 3.12P
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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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