Workshop:The analysis of a simple pendulum assumed that the mass was a particle, with no size. A realistic pendulum is a small,
uniform diskof massMand radiusRat the end of a massless string, withLbeing the distance from the pivot to the center of the sphere.Find an expression for the period of this pendulum.SupposeM
1 answer:
Answer:
The expression for the period of the pendulum is
T=2π√l/g
Explanation
Kindly find attached document for the analysis of the pendulum and the derivation for the period
What is a simple harmonic motion?
Simple harmonic motion is defined as the to and fro motion of an object or a particle whose acceleration is directly proportional to its displacement from a fixed point and is always directed towards that point.
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Answer:
The ratio of lengths of the two mathematical pendulums is 9:4.
Explanation:
It is given that,
The ratio of periods of two pendulums is 1.5
Let the lengths be L₁ and L₂.
The time period of a simple pendulum is given by :
or
Where
l is length of the pendulum
or
....(1)
ATQ,
Put in equation (1)
So, the ratio of lengths of the two mathematical pendulums is 9:4.