Speed of a pendulum at its lowest point

In summary, the conversation discusses the application of various equations, including Fg= M * g and trigonometric functions, to solve a problem involving the concept of a unit circle. The solution involves finding the potential energy of a ball at different points on the unit circle.
  • #1
Runaway
48
0

Homework Statement


358anb5.png

Homework Equations


Fg= M * g
g=-9.8m/s2
Sine=Opp/Hyp
Cos=Adj/Hyp
Tan=Opp/Adj

The Attempt at a Solution


I used the concept of a unit circle to find [tex]\Delta[/tex]Y
(Sine(270 + 19)* 2 meters) + 2 meters= 0.109 meters
but I am unsure of what to do now. I thought that the answer to part 2 would be zero, because at point P it is no longer accelerating due to gravity but it says that's not the answer.
 
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  • #2
What do you know about the potential energy of the ball?
 
  • #3
it's zero at point P and at its maximum at points Q and Q', and at points Q and Q' it is equal to .109m * 9.8m/s2 * its mass = 10.682 s-2 * m
 

What factors affect the speed of a pendulum at its lowest point?

The speed of a pendulum at its lowest point is affected by the length of the pendulum, the mass of the pendulum bob, the angle of release, and the force of gravity.

How does the length of a pendulum affect its speed at the lowest point?

The longer the length of the pendulum, the slower it will swing at its lowest point. This is because a longer pendulum has a longer period of oscillation, meaning it takes longer to complete one full swing.

What is the relationship between the mass of the pendulum bob and its speed at the lowest point?

The mass of the pendulum bob does not affect the speed at the lowest point. The speed is solely determined by the length of the pendulum and the force of gravity.

Does the angle of release impact the speed of a pendulum at its lowest point?

Yes, the angle of release does impact the speed of a pendulum at its lowest point. The larger the angle, the faster the pendulum will swing at its lowest point.

How does gravity affect the speed of a pendulum at its lowest point?

The force of gravity is the main factor that determines the speed of a pendulum at its lowest point. The stronger the force of gravity, the faster the pendulum will swing at its lowest point.

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