Question

Please answer the following questions fast....its very urgent!!
1)What is a simple pendulum?
2)What is the length of simple pendulum?
3)What is extreme position/
4)What is amplitude of simple pendulum?
5) If a simple pendulum has 400 oscillation in 20 sec, find the time period and frequency.

Answer 1

1) A pendulum is a simple kind of machine in which there is a metallic ball hanged to a stand with a thread.
3)An extreme position is a position when the pendulum is at rest.

Answer 2

i)A simple pendulum is defined as an object that has a small mass, also known as the pendulum bob, which is suspended from a wire or string of negligible mass.
When displaced, a pendulum will oscillate around its equilibrium point due to momentum in balance with the restoring force of gravity.
When the swings (amplitudes) are small, less than about 15º, the pendulum acts as a simple harmonic oscillator with period
T=2πLg
, where L is the length of the string and g is the acceleration due to gravity.
ii) and iv){The period of swing of a simple gravity pendulum depends on its length, the local strength of gravity, and to a small extent on the maximum angle that the pendulum swings away from vertical, θ0, called the amplitude. It is independent of the mass of the bob.}
iii)Extreme Position: The position of the bob at the maximum distance from the mean position is called extreme position.
v)THE TIME PERIOD (T) :
The time period of a vibrating or oscillatory system is the time required to complete one full
cycle of vibration of oscillation.

THE FREQUENCY (ν) :
The frequency is the number of complete oscillations or cycles per unit time which means 1 sec. If T is the time
for one complete oscillation.
ν = 1 /T
soln:-
Given that 400 oscillations are made by the pendulum for 20 sec.
So, It makes 20 oscillations are made by the pendulum for 1sec.
We know that the number of oscillations made per second (20 oscillations per second ) is called its frequency

∴ Frequency = 20 Hz
Time period = 1/Frequency
Time period = 1/ 20
Time period = 0.05sec