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karinagaticap73vrn
05.02.2020 •
Physics
Two identical, thin rods, each with mass m and length l, are joined at right angles to form an l-shaped object. this object is balanced on top of a sharp edge. if the l-shaped object is deflected slightly, it oscillates.
find the frequency of oscillation.
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Ответ:
The frequency of oscillation of the given L-shaped object made of two rods is
.
Further Explanation:
The combination of the two rods perpendicular to each other and making a L-shaped object is as shown in figure attached below.
This L-shaped object rests on a sharp edge and therefore, each rod will make an angle of
with the sharp edge. When there is a very small deflection in the rod, it will start performing oscillations with a small angle
. Then the time period of oscillation of this rod about its center of gravity is given as:
Here,
is the moment of inertia of the rod,
is the distance of the center of gravity from the fixed point and
is the time period of oscillation of the L-shaped object.
The moment of inertia of the rod about its one end is given as:
For the above mentioned case, the moment of inertia of the two rods about the fixed sharp point is:
The distance of the center of gravity from the fixed point is:
Substitute the values in equation (1).
The frequency of oscillation of the L-shaped object is:
Thus, the frequency of oscillation of the given L-shaped object made of two rods is
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Answer Details:
Grade: Senior School
Subject: Physics
Chapter: Simple Harmonic Motion
Keywords:
L-shaped object, two identical thin rods, balanced, a sharp edge, deflected slightly, moment of inertia, frequency of oscillation, center of gravity.
Ответ:
Explanation:
b not sure I don't do physics