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16.5 Energy and the Simple Harmonic Oscillator

- The method for determining can be very accurate.
- This is the reason for the length and period to be five digits.
- The maximum displacement angle should be kept below, so that the approximation is better than the pendulum length and period.

- Knowing can be important in geological exploration, for example, a map of large geographical regions can be used to find oil fields and large mineral deposits.

- The movement of the pendula will not change because of the mass of the bob.

- The pendula are only affected by the period and the acceleration due to gravity.

- The period of a simple pendulum depends on the length of the string, the mass of the pendulum bob, and the amplitude of the swing.
- The photogate timer can be used to measure the period.
- The strength of gravity can be varied.
- The pendulum can be used to find the value of planet X.

- The other important form of energy is kinetic energy.

- In the case of undamped simple motion, the energy goes from one to the other as the system changes.
- The elastic potential energy is converted to kinetic energy as the object moves.
- When the elastic potential energy is converted back into elastic potential energy by the spring, the velocity becomes zero.
- Extra insight can be provided by this concept in applications such as alternating current circuits.

- An object attached to a spring is shown to have a transformation of energy.

- The expression for velocity can be derived from the conserved energy principle.

- The total energy is constant and is shifted back and forth between the two.

- The expression shows that the velocity is a maximum at.
- The maximum speed depends on three factors.
- The maximum speed is proportional to the amplitude.
- The greater the maximum displacement, the greater the maximum speed.
- Striking systems exert greater force for the same displacement.
- The expression shows that this observation is proportional to the square root of the force constant.
- The maximum velocity is smaller for larger objects because it is proportional to the square root.
- Large objects accelerate more slowly than smaller ones.

- A car with a suspension system that has a force constant is 900 kilograms.

- The maximum vertical velocity can be determined using the expression for given in.
- The maximum displacement is 0.100 m and the variables are given in the problem statement.

- It's possible to identify known.

- The answer seems reasonable for a bouncing car.
- There are other ways to conserve energy.
- In the example featured in Hooke's Law: Stress and Strain Revisited, we could use it directly.

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