Speed of a pendulum at its lowest point

Click For Summary
SUMMARY

The discussion centers on calculating the speed of a pendulum at its lowest point, utilizing the principles of potential and kinetic energy. The gravitational force equation, Fg = M * g, with g set at -9.8 m/s², is critical for understanding the pendulum's motion. The participant initially misinterprets the acceleration at the lowest point, believing it to be zero, but recognizes that potential energy is maximized at the highest points (Q and Q') and zero at the lowest point (P). The correct approach involves calculating the kinetic energy at point P using the potential energy derived from the height of 0.109 meters.

PREREQUISITES
  • Understanding of gravitational force and acceleration (Fg = M * g)
  • Familiarity with potential and kinetic energy concepts
  • Knowledge of trigonometric functions (Sine, Cosine, Tangent)
  • Basic principles of pendulum motion
NEXT STEPS
  • Study the relationship between potential and kinetic energy in pendulum motion
  • Learn how to apply conservation of energy principles to pendulum systems
  • Explore the effects of mass and height on pendulum speed
  • Investigate the role of angular displacement in pendulum dynamics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and energy conservation, as well as educators seeking to clarify pendulum motion concepts.

Runaway
Messages
48
Reaction score
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 \DeltaY
(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.
 
Physics news on Phys.org
What do you know about the potential energy of the ball?
 
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
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 2 ·
Replies
2
Views
10K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 6 ·
Replies
6
Views
4K
Replies
2
Views
2K