Understanding Simple Harmonic Movement: Debunking Common Misconceptions

In summary, the statements that are true are the first, third, and fifth ones, while the second and fourth statements are false.
  • #1
zhenyazh
56
0
Hi,
could some one please explain in detail why this things are true?

thanks

A simple pendulum suspended in a rocket ship has a period T0. Assume that the rocket ship is near the Earth in a uniform gravitational field.

True: If the ship accelerates downward at 9.81 m/s2, the pendulum will no longer oscillate.
False: If the ship accelerates upward, the period increases.
True: If the length of the pendulum is doubled, the new period will be the square root of two times T0.
False: If the mass of the pendulum is halved, the period decreases.
False: If the ship moves upward with a constant velocity, the period increases.
 
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  • #2
The first statement is true because when the rocket ship accelerates downward at 9.81 m/s2, the pendulum will experience a force equal to its weight and the period of oscillation will be reduced to zero. The second statement is false because acceleration is necessary in order for the period to change. The third statement is true because increasing the length of the pendulum results in an increase in its moment of inertia, so the period of oscillation increases. The fourth statement is false because changing the mass of the pendulum does not affect the period of oscillation. The fifth statement is also false because a constant velocity does not cause any change in the period of oscillation.
 

Related to Understanding Simple Harmonic Movement: Debunking Common Misconceptions

1. What is Simple Harmonic Movement?

Simple Harmonic Movement is a type of periodic motion in which a system experiences a restoring force that is proportional to its displacement from equilibrium. This results in a repetitive back and forth motion around a central point.

2. What are the characteristics of Simple Harmonic Movement?

The characteristics of Simple Harmonic Movement include a constant amplitude, a constant period, and a sinusoidal or wave-like motion. It also follows Hooke's Law, which states that the restoring force is directly proportional to the displacement.

3. How is Simple Harmonic Movement different from other types of periodic motion?

Simple Harmonic Movement differs from other types of periodic motion in that it is driven by a restoring force that is directly proportional to the displacement, while other types of motion may have different types of forces acting on the system.

4. What are some real-world examples of Simple Harmonic Movement?

Some examples of Simple Harmonic Movement in the real world include the motion of a pendulum, a mass attached to a spring, and the vibrations of a guitar string.

5. How is Simple Harmonic Movement used in science and engineering?

Simple Harmonic Movement is used in science and engineering to model and analyze systems that exhibit this type of motion. It is also used in designing systems such as shock absorbers and pendulum clocks.

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