Simple Pendulum: Help with Displacement and Velocity at A,B,C

In summary, the conversation discusses a simple pendulum with 3 points A, B, and C. At point A, the displacement is 0, at point B, the displacement is maximum, and the displacement at point C is unknown. It is also mentioned that when the pendulum starts from maximum displacement at point B, the velocity at point B is 0 and at point A it is maximum. The displacement at point C in this scenario is also unknown. The conversation also touches on the acceleration at point B and the graphical representation of the pendulum's motion. There is a question about the equation of motion for small angles.
  • #1
XuFyaN
50
0
in this simple pendulum there are 3 points A,B,C , at point A the displacement is 0 , at point B the displacement is maximum and at point C what is the displacement??
also
When the Pendulum starts from maximum Displacement i.e point B , the velocity at point B would be 0, and at point A the velocity would be maximum , what would be the displacement at point C ?
also
When the pendulum is at point B (maximum displacement) will the acceleration is maximum ??


http://www.educationalelectronicsusa.com/p/images/wep-4.gif

can anyone explain its graphical representation ?
Velocity vs time, Acceleration vs time.
 
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  • #2
Hi XuFyaN! :wink:

What do you think is the equation of motion (for small angles)? :smile:
 

1. What is a simple pendulum?

A simple pendulum is a weight suspended from a fixed point that is allowed to swing back and forth under the influence of gravity. It is a commonly used tool for studying periodic motion and can be found in many physics experiments.

2. How do you calculate the displacement of a simple pendulum?

The displacement of a simple pendulum can be calculated using the equation:
θ = θmaxcos(ωt + φ)
where θ is the displacement, θmax is the amplitude, ω is the angular frequency, and φ is the phase constant.

3. What affects the velocity of a simple pendulum?

The velocity of a simple pendulum is affected by the length of the pendulum, the angle of displacement, and the force of gravity. The longer the pendulum, the slower the velocity; the greater the angle of displacement, the faster the velocity; and the stronger the force of gravity, the faster the velocity.

4. How do you find the velocity at different points in a pendulum's swing?

The velocity at different points in a pendulum's swing can be found using the equation:
v = √(2g(l-y))
where v is the velocity, g is the acceleration due to gravity, l is the length of the pendulum, and y is the vertical displacement from the equilibrium position.

5. How does the displacement and velocity change as the pendulum swings?

As the pendulum swings, the displacement and velocity change continuously. At the highest point (point A), the displacement is at its maximum and the velocity is at its minimum. At the lowest point (point C), the displacement is at its minimum and the velocity is at its maximum. At the equilibrium point (point B), the displacement is zero and the velocity is at its average value.

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