Question

praticle of 11 class for simple pendulum with diagram answer will be correct the mark as brainlist

Answer 1

check the attachment

Answer 2

A simple pendulum is one which can be considered to be a point mass suspended from a string or rod of negligible mass. It is a resonant system with a single resonant frequency. For small amplitudes, the period of such a pendulum can be approximated by:
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For pendulum length
L = cm = m
and acceleration of gravity
g = m/s 2
the pendulum period is
T = s
(Enter data for two of the variables and then click on the active text for the third variable to calculate it.)
Note that the angular amplitude does not appear in the expression for the period. This expression for period is reasonably accurate for angles of a few degrees, but the treatment of the large amplitude pendulum is much more complex.
If the rod is not of negligible mass, then it must be treated as a
physical pendulum .
Sean Carroll relates the story of Galileo's discovery of the fact that for small amplitudes, the period and frequency are unaffected by the amplitude. "In 1581, a young Galileo Galilei reportedly made a breakthrough discovery while he sat bored during a church service in Pisa. The chandelier overhead would swing gently back and forth, but it seemed to move more quickly when it was swinging widely (after a gust of wind, for example) and more slowly when it wasn't moving as far. Intrigued, Galileo decided to measure how much time it took for each swing, using the only approximately periodic event to which he had ready access: the beating of his own pulse. He found something interesting: The number of heartbeats between swings of the chandelier was roughly the same, regardless of whether the swings were wide or narrow. The size of the oscillations - how far the pendulum swung back and forth - didn't affect the frequency of those oscillations."
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Periodic motion concepts
Carroll
Eternity to Here, p16
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Pendulum Motion
The motion of a simple pendulum is like
simple harmonic motion in that the equation for the angular displacement is
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which is the same form as the motion of a mass on a spring:
The anglular frequency of the motion is then given by
compared to for a mass on a spring.
The frequency of the pendulum in Hz is given by
and the period of motion is then
.
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Periodic motion concepts
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Period of Simple Pendulum
A point mass hanging on a massless string is an idealized example of a simple pendulum. When displaced from its
equilibrium point, the restoring force which brings it back to the center is given by:
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For small angles θ, we can use the approximation
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in which case Newton's 2nd law takes the form
Even in this approximate case, the solution of the equation uses calculus and differential equations. The differential equation is
and for small angles θ the solution is:
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Pendulum Geometry
The period of a simple pendulum for small amplitudes θ is dependent only on the pendulum length and gravity. For the
physical pendulum with distributed mass, the distance from the point of support to the center of mass is the determining "length" and the period is affected by the distribution of mass as expressed in the moment of inertia I .
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Periodic motion concepts
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Pendulum Equation
The equation of motion for the simple pendulum for sufficiently small amplitude has the form
which when put in angular form becomes
This differential equation is like that for the simple harmonic oscillator and has the solution:
Index
Periodic motion concepts
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