Simple harmonic motion homework

In summary, simple harmonic motion is a type of periodic motion characterized by a sinusoidal pattern and a restoring force that is directly proportional to the displacement from equilibrium. The period of simple harmonic motion can be calculated using the equation T = 2π√(m/k), where T is the period in seconds, m is the mass in kilograms, and k is the spring constant in Newtons per meter. The frequency of simple harmonic motion is inversely proportional to the period, and the amplitude is directly proportional to the energy of the system. Displacement in simple harmonic motion can be both positive and negative, with the magnitude of the displacement remaining the same regardless of its direction.
  • #1
divyaushadam
2
0
a small creature moves with a constant speed in a vertical circle on a bright day.does its shadow formed by the sun on a hortizantal plane move in simple harmonic motion
 
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  • #2
What exactly is a "vertical circle?"

cookiemonster
 
  • #3
probably a circle drawn in a plane perpendicular to Earth...
 
  • #4
Assuming the sun is directly above the creature, then yes, since the shadow would outline the creature's circular motion in only one of the axes.

http://www.phy.ntnu.edu.tw/java/shm/shm.html
 
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Related to Simple harmonic motion homework

1. What is simple harmonic motion?

Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. It is characterized by a sinusoidal pattern and is often seen in systems such as a mass attached to a spring or a pendulum.

2. How do you calculate the period of a simple harmonic motion?

The period of a simple harmonic motion can be calculated using the equation T = 2π√(m/k), where T is the period in seconds, m is the mass in kilograms, and k is the spring constant in Newtons per meter.

3. What is the relationship between frequency and period in simple harmonic motion?

The frequency of a simple harmonic motion is inversely proportional to the period. This means that as the frequency increases, the period decreases, and vice versa. The equation for this relationship is f = 1/T, where f is the frequency in hertz and T is the period in seconds.

4. How do amplitude and energy affect simple harmonic motion?

The amplitude of a simple harmonic motion is directly proportional to the energy of the system. This means that as the amplitude increases, so does the energy. However, the period and frequency remain unchanged. Additionally, as the energy of the system increases, the amplitude also increases.

5. Can you have negative values for displacement in simple harmonic motion?

Yes, displacement in simple harmonic motion can be both positive and negative. A positive displacement indicates that the object is on one side of the equilibrium point, while a negative displacement indicates that the object is on the other side of the equilibrium point. The magnitude of the displacement remains the same, regardless of its direction.

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