Examples of pendulum in the following topics:
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- In contrast, a physical pendulum (sometimes called a compound pendulum) may be suspended by a rod that is not massless or, more generally, may be an arbitrarily-shaped, rigid body swinging by a pivot (see ).
- In this case, the pendulum's period depends on its moment of inertia around the pivot point .
- This is of the same form as the conventional simple pendulum and this gives a period of:
- As with a simple pendulum, a physical pendulum can be used to measure g.
- This is another example of a physical pendulum.
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- Example:Measuring Acceleration due to Gravity: The Period of a Pendulum.What is the acceleration due to gravity in a region where a simple pendulum having a length 75.000 cm has a period of 1.7357 sStrategy: We are asked to find g given the period T and the length L of a pendulum.
- For small displacements, a pendulum is a simple harmonic oscillator.
- For the simple pendulum:
- or the period of a simple pendulum.
- Even simple pendulum clocks can be finely adjusted and accurate.
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- For example, imagine a pendulum in a vacuum.
- However, when the pendulum is at its lowest point, all of its energy exists in the form of kinetic energy.
- This animation shows the velocity and acceleration vectors for a pendulum.
- One may note that at the maximum height of the pendulum's mass, the velocity is zero.
- This corresponds to zero kinetic energy and thus all of the energy of the pendulum is in the form of potential energy.
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- For instance, the motion of a plane pendulum of length $\ell$ (Figure 1.1) is governed by
- So for small displacements, the equation for the pendulum is:
- Thus the equation of motion for the pendulum is linear in $\theta$ when $\theta$ is small.
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- We did this, in effect, when we computed the tangential force of gravity on a simple pendulum.
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- For example, the movement of the sun across the sky, the phases of the moon, the swing of a pendulum, and the beat of a heart have all been used as a standard for time keeping.
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- For example, for a simple pendulum we replace the velocity with v=Lω, the spring constant with k=mg/L, and the displacement term with x=Lθ.
- A similar calculation for the simple pendulum produces a similar result, namely:
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- Consider the apparatus shown in , which swings a pendulum bob between the poles of a strong magnet.
- (a) The motion of a metal pendulum bob swinging between the poles of a magnet is quickly damped by the action of eddy currents.
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- An example of something that utilizes mechanical energy is a pendulum.
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- In addition, other phenomena can be approximated by simple harmonic motion, such as the motion of a simple pendulum, or molecular vibration.