A plate in the shape of an equilateral triangle, with uniform thickness and density, oscillates in...
A plate in the shape of an equilateral triangle, with uniform thickness and density, oscillates in the plane of the plate with the pivot at one vertex. If the period of oscillation is 1.00 s, find the length of a side of the triangle.
Homework Answers
Distance from centre of mass (centroid) of an equilateral triangle to each of its vertex
l = L / sqrt(3) (By simple geometry)
time period of the pendulum = 2 pi root(l / g)
thus 1 = 4 pi^2 (L/sqrt(3)*g)
We get L = 43 cm.
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