Why the motion of pendulum will not be a simple harmonic motion?

Why the motion of pendulum will not be a simple harmonic motion?

Any pendulum undergoes simple harmonic motion when the amplitude of oscillation is small. The pendulum still oscillates, but the motion is no longer simple harmonic motion because the angular acceleration is not proportional to the negative of the angular displacement.

Why is the motion of a simple pendulum said to be simple harmonic?

All the motions which can be represented by this function are known as simple harmonic motions. Motion of a simple pendulum is approximately a simple harmonic motion for small amplitudes. It stops vibrating after some-time due to drag from air i.e. loss of energy. It is in that case, known as Damped Harmonic Motion.

What is the relationship between mass and period of a pendulum?

The period of a pendulum does not depend on the mass of the ball, but only on the length of the string. Two pendula with different masses but the same length will have the same period. Two pendula with different lengths will different periods; the pendulum with the longer string will have the longer period.

Why does the mass of a pendulum not affect the period?

The mass of a pendulum’s bob does not affect the period. As mass increases, so does the force on the pendulum, but acceleration remains the same. (It is due to the effect of gravity.) Because acceleration remains the same, so does the time over which the acceleration occurs.

Why does period increase with mass?

Since a mass attached to a spring is a simple harmonic oscillator, we know the amplitude does not affect the period. If the mass is moved only a little from equilibrium and released, it will oscillate back and forth gently with some period. The period will increase as the mass increases.

How does mass affect a pendulum?

(Mass does not affect the pendulum’s swing. The longer the length of string, the farther the pendulum falls; and therefore, the longer the period, or back and forth swing of the pendulum. The greater the amplitude, or angle, the farther the pendulum falls; and therefore, the longer the period.)

What cause a pendulum to come to a stop?

A pendulum stops oscillating because it loses energy when it is converted into heat. Even without air friction, the friction which exists with the point around which the pendulum rotates causes the system to lose kinetic energy and eventually stop.

How do I keep my pendulum swinging?

There are several things that you can do to make a pendulum swing for a long time:

  1. Make it heavy (and, specifically, dense). The more mass a pendulum has, the less outside influences such as air resistance will degrade its swing.
  2. Put it in a vacuum.
  3. Use an escapement mechanism.
  4. Give it a large initial swing.

How do you date a WM L Gilbert clock?

The best way to tell a Gilbert clock’s age is to inspect the back of it. You should see a label displaying the name of the company. Because this company changed its name various times throughout its duration, the name engraved on the back will help you identify the time period it was constructed in.

Why does my clock chime wrong?

The usually happens when an hour hand is moved by mistake when re-setting the time on your grandfather clock. Sometimes if a grandfather clock is allowed to wind down so the weights are on the bottom and the grandfather clock pendulum stops, this can happen.

How do you fix an overwound chime clock?

First you can try to run your clock manually by moving the minute hand clockwise stopping to let the clock chime this will relax the chime mainspring if your clock has chimes, moving the pendulum back and forth will relax the mainspring that controls the pendulum but will take some time to do so.

How do clocks work without batteries?

Unlike their digital and quartz counterparts, mechanical clocks don’t depend on a battery to keep time. Instead, they harness the energy stored in a wound spring. The escapement regulates the release of stored energy into a predictable curve, which translates into the motion of the hands around the dial.

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