The uniform rod AB of mass 17 kg can rotate in a vertical x-y plane about an axis at G and is connected to a rectangular steel block of mass 35 kg to form a composite pendulum as shown in ! Note: The mass moment of inertia of a rod, mass m, length L, about its centroidal axis and perpendicular to the rod is l= ml²/12. The rectangular steel block has a mass moment of inertia of l= (1/12) m (a² + b²). 3m 2.5m 1.5m -Rod G Rectangular steel block c) Determine the natural period of oscillations. 1.2m a) Draw the free body diagram and kinetic diagram of the pendulum. b) Formulate the equation of motion for small oscillations of the pendulum.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The uniform rod AB of mass 17 kg can rotate in a vertical x-y plane about an axis at G and is
connected to a rectangular steel block of mass 35 kg to form a composite pendulum as shown
in !
Note: The mass moment of inertia of a rod, mass m, length L, about its centroidal axis and
perpendicular to the rod is l= ml?/12. The rectangular steel block has a mass moment of inertia
of l= (1/12) m (a? + b?).
1.5 m
G
2.5 m
Rod
Rectangular steel block
12m
3 m
a) Draw the free body diagram and kinetic diagram of the pendulum.
b) Formulate the equation of motion for small oscillations of the pendulum.
c) Determine the natural period of oscillations.
Transcribed Image Text:The uniform rod AB of mass 17 kg can rotate in a vertical x-y plane about an axis at G and is connected to a rectangular steel block of mass 35 kg to form a composite pendulum as shown in ! Note: The mass moment of inertia of a rod, mass m, length L, about its centroidal axis and perpendicular to the rod is l= ml?/12. The rectangular steel block has a mass moment of inertia of l= (1/12) m (a? + b?). 1.5 m G 2.5 m Rod Rectangular steel block 12m 3 m a) Draw the free body diagram and kinetic diagram of the pendulum. b) Formulate the equation of motion for small oscillations of the pendulum. c) Determine the natural period of oscillations.
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