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
Simple pendulum's are used to describe simple harmonic motion. If the amplitude becomes large, then the oscillations become chaotic and can no longer be described by simple harmonic motion.
we should keep the amplitude of simple pendulum small because we have to make a very small angle so that we can neglecting value of sin
The change of amplitude affects the time of one cycle of a pendulum if the amplitude is big. In such a case, time increases as amplitude increases. In the case of a small amplitude, the time is very slightly affected by amplitude and is considered negligible.
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)
making timings by sighting the bob past a fixed reference point (called a 'fiducial point')Sighting the bob as it moves fastest past a reference point. The pendulum swings fastest at its lowest point and slowest at the top of each swing.· The bob of the pendulum was displaced with a small angle· The amplitude of the oscillation of a simple pendulum is small.· The simple pendulum oscillates in a vertical plane only.· Switch off the fan to reduce the air resistance
In an ideal pendulum, the only factors that affect the period of a pendulum are its length and the acceleration due to gravity. The latter, although often taken to be constant, can vary by as much as 5% between sites. In a real pendulum, the amplitude will also have an effect; but if the amplitude is relatively small, this can safely be ignored.
we should keep the amplitude of simple pendulum small because we have to make a very small angle so that we can neglecting value of sin
wind resistance cannot be ignored in considering a simple pendulum. The wind resistance will be proportional to a higher power of the velocity of the pendulum. A small arc of the pendulum will lessen this effect. You could demonstrate this effect for yourself. A piece of paper attached to the pendulum will add to the wind resistance, and you can measure the period both with and without the paper.
The change of amplitude affects the time of one cycle of a pendulum if the amplitude is big. In such a case, time increases as amplitude increases. In the case of a small amplitude, the time is very slightly affected by amplitude and is considered negligible.
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)
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.
making timings by sighting the bob past a fixed reference point (called a 'fiducial point')Sighting the bob as it moves fastest past a reference point. The pendulum swings fastest at its lowest point and slowest at the top of each swing.· The bob of the pendulum was displaced with a small angle· The amplitude of the oscillation of a simple pendulum is small.· The simple pendulum oscillates in a vertical plane only.· Switch off the fan to reduce the air resistance
In an ideal pendulum, the only factors that affect the period of a pendulum are its length and the acceleration due to gravity. The latter, although often taken to be constant, can vary by as much as 5% between sites. In a real pendulum, the amplitude will also have an effect; but if the amplitude is relatively small, this can safely be ignored.
i think small amplitude is best because small amplitude gives perfect time period as well as to obey SHM.
The period of a pendulum is (sort of) independent of the amplitude. This is technically true for very small, "infinitesimal" swings. In this range, amplitude does not affect period. For larger swings, however, a circular error is introduced, but it is possible to compensate with various designs. See the Related Link below for further information.
A simple harmonic motion is one for which the acceleration of the body into consideration is proportional its displacement from the mean position and the direction of the acceleration is always directed towards that mean position. It can be shown that, provided that the amplitude of oscillation is small, the motion of a simple pendulum is simple harmonic. All simple harmonic motions follow one rule F=-kx . When the oscillation is small(around 5 °), the motion of simple pendulum is simple harmonic motion.
You can build a simple pendulum - one that has most of its mass concentrated in a small place, at the end of the pendulum. Measure the pendulum's length, and measure how long it takes to go back and forth. Use the formula for the period of a pendulum, solving for "g".
It's not always the same. The frequency of a pendulum depends on its length, on gravity, on the pendulum's exact shape, and on the amplitude. For a small amplitude, and for a pendulum that has all of its mass concentrated in one point, the period is 2 x pi x square root of (L / g) (where L=length, g=gravity). The frequency, of course, is the reciprocal of this.