0
Small: This is to ensure that the motion of the pendulum mostly stays along one direction, i.e. it is swinging back and forth as opposed to rotating or moving erratically. Only when the pendulum is moving in this manner can you say that it follows SHM - Simple Harmonic Motion (If that is the aim of the experiment)
What else can I help you with?
Would you keep the amplitude of simple pendulum small or large?
It is preferable to keep the amplitude of a simple pendulum small because larger amplitudes can lead to nonlinear behavior and make the system harder to analyze. Keeping the amplitude small ensures that the motion remains approximately harmonic, simplifying calculations and predictions.
Does a pendulum oscillating with a large amplitude have a period longer or shorter than the period for oscillation with small amplitude?
A pendulum oscillating with a larger amplitude has a longer period than a pendulum oscillating with a smaller amplitude. This is due to the restoring force of gravity that acts on the pendulum, causing it to take longer to swing back and forth with larger swings.
Why you should keep the amplitude of simple pendulum small?
Because a larger angle will exacerbate the dampening effect. The dampening effect is an effect that tends to reduce the amplitude of any oscillations. http://en.wikipedia.org/wiki/Damping
Why is it important to keep the amplitude of the swinging pendulum small?
Keeping the amplitude of the swinging pendulum small is important to maintain the regularity and predictability of its motion. Large amplitudes can introduce non-linearities that impact the period of oscillation and make the pendulum less reliable for timekeeping or measurement purposes. Additionally, larger amplitudes can result in higher energy loss due to air resistance or friction, leading to dampening of the pendulum's motion.
What happens to to the frequency of a swing as its oscillation die from large amplitude to small?
As a swing's oscillation dies down from large amplitude to small, the frequency remains constant. The frequency of a pendulum swing is determined by its length and gravitational acceleration, so as long as these factors remain constant, the frequency will not change.
How does the amplitude of the pendulum affect the pendulum?
It messes up the math. For large amplitude swings, the simple relation that the period of a pendulum is directly proportional to the square root of the length of the pendulum (only, assuming constant gravity) no longer holds. Specifically, the period increases with increasing amplitude.
Would you keep the amplitude of simple pendulum small or large?
It is preferable to keep the amplitude of a simple pendulum small because larger amplitudes can lead to nonlinear behavior and make the system harder to analyze. Keeping the amplitude small ensures that the motion remains approximately harmonic, simplifying calculations and predictions.
What is the relationship between a swinging pendulum and a sine curve?
Assuming an idealised pendulum with a small amplitude, both are examples of simple harmonic motion. That is, the second derivative of the curve is directly proportional to its displacement but in the opposite direction. If the amplitude (swing) of the pendulum is large or if the majority of its mass is not oi the "blob" the relationship is only approximate.
Does a pendulum oscillating with a large amplitude have a period longer or shorter than the period for oscillation with small amplitude?
A pendulum oscillating with a larger amplitude has a longer period than a pendulum oscillating with a smaller amplitude. This is due to the restoring force of gravity that acts on the pendulum, causing it to take longer to swing back and forth with larger swings.
Why you should keep the amplitude of simple pendulum small?
Because a larger angle will exacerbate the dampening effect. The dampening effect is an effect that tends to reduce the amplitude of any oscillations. http://en.wikipedia.org/wiki/Damping
Would you keep the amplitude of simple pendulm small or large?
i think small amplitude is best because small amplitude gives perfect time period as well as to obey SHM.
What is that motion which is periodic but not harmonic?
what is difference between simple harmonic motion and vibratory motion?
What are the disadvantages of simple pendulum?
The simple pendulum model does not take into account some factors that affect actual pendulums. It is a close approximation in many cases. The formulas are much simpler than the formulas for the actual motion of the pendulum. That's why it's called simple. But if the 'swinging angle' is too large the simpler formulas are no longer accurate. Also if the rod, which the pendulum is suspended on, has too large a mass in relation to the pendulum weight, then the simple formulas won't work.
Why is it important to keep the amplitude of the swinging pendulum small?
Keeping the amplitude of the swinging pendulum small is important to maintain the regularity and predictability of its motion. Large amplitudes can introduce non-linearities that impact the period of oscillation and make the pendulum less reliable for timekeeping or measurement purposes. Additionally, larger amplitudes can result in higher energy loss due to air resistance or friction, leading to dampening of the pendulum's motion.
What happens to to the frequency of a swing as its oscillation die from large amplitude to small?
As a swing's oscillation dies down from large amplitude to small, the frequency remains constant. The frequency of a pendulum swing is determined by its length and gravitational acceleration, so as long as these factors remain constant, the frequency will not change.
Why time periods is equal of pendulum?
A simple pendulum, ideally consists of a large mass suspended from a fixed point by an inelastic light string. These ensure that the length of the pendulum from the point of suspension to its centre of mass is constant. If the pendulum is given a small initial displacement, it undergoes simple harmonic motion (SHM). Such motion is periodic, that is, the time period for oscillations are the same.
What is a limitations to a simple pendulum?
A "simple pendulum" is a mathematical abstraction; the limitation, of course, is that it is not 100% accurate. The assumptions are that it is frictionless, that all the mass of the bob is concentrated in one point, and that the thread that holds the pendulum is massless. Each of these assumptions can be approximated in real life, but only up to a certain point.
