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Problems Ch. 15 Misc.

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Example: Find the effective spring constant of multiple springs connected in series
Example: Find the effective spring constant of multiple springs connected in parallel
Find the effective spring constant of infinitely many identical springs attached in parallel
as shown. 1,2,4,8,.... infinitely many springs
Each has the same spring constant k
Fing the angular frequency of small oscillations in the vertical plane of the stick with length l and mass m that is held in equilibrium
between two identical horizontal springs
Fing the angular frequency of small oscillations in the vertical plane of the stick with length l and mass m that is held in equilibrium between two identical horizontal springs
To observe oscillations
A hexagonal frame, which can rotate freely with respect to the center of mass, has sides of length l
and mass m, is attached as shown in the figure by means of a spring with constant k. What is the
period of the small vibrations of the system?
A stick of length l will be pivoted such that it is free to rotate in the page plane around the axis perpendicular to the page.
Where should the stick be pivoted such that the angular frequency of small oscillations is maximized?
A stick of length l will be pivoted such that it is free to rotate in the page plane around the axis perpendicular to the page. Where should the stick be pivoted such that the
angular frequency of small oscillations is maximized?
Fing the angular frequency of small oscillations in the vertical plane around the perpendicular axis going thgrough O of the
circular plate with a circular hollow.
Fing the angular frequency of small oscillations in the vertical plane around the perpendicular axis going
thgrough O of the circular plate with a circular hollow.
Fing the angular frequency of small oscillations in the vertical plane around the perpendicular axis going
thgrough A of the circular plate with a circular hollow.
A homogeneous rod of length l and mass m is suspended from two springs with
spring constant k. Find the ratio of the periods of the possible oscillations.
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