What is the Maximum Height of a Pendulum Ball with Constant Wind Force?

  • Context: Graduate 
  • Thread starter Thread starter emily27
  • Start date Start date
  • Tags Tags
    Pendulum
Click For Summary
SUMMARY

The maximum height \( H \) reached by a pendulum ball of mass \( m \), connected by a string of length \( L \) and subjected to a constant wind force \( F \), is defined by the equation \( H = \frac{2L}{1 + \left(\frac{mg}{F}\right)^2} \). This relationship is derived by analyzing the forces acting on the ball when released from rest. The discussion emphasizes resolving forces perpendicular to the string to accurately calculate the pendulum's motion under the influence of wind.

PREREQUISITES
  • Understanding of classical mechanics principles, particularly pendulum motion.
  • Knowledge of force resolution techniques in physics.
  • Familiarity with the concepts of gravitational force and wind resistance.
  • Basic algebra for manipulating equations and solving for variables.
NEXT STEPS
  • Study the derivation of pendulum motion equations under external forces.
  • Learn about the impact of wind forces on projectile motion.
  • Explore the concept of force resolution in two dimensions.
  • Investigate the effects of varying mass and string length on pendulum dynamics.
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of pendulum systems affected by external forces such as wind.

emily27
Messages
1
Reaction score
0
a ball having mass m is connected by a strong string of length L to a pivot point and held in place in a vertical position. a wind exerting constant force of magnitude F is blowing from left to right. if the ball is released from rest, show that the maximum height H it reaches, as measured from its initial height, is H = 2L/1 + (mg/F)^2

i am not sure where to start from.. please be specific and show your steps. thank you!
 
Physics news on Phys.org
Try resolving forces perpendicular to the string.
 

Similar threads

Graduate Modeling the damping of a physical rigid pendulum
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Conical Pendulum with varying string length
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad What is the zero point for Potential Energy and how to find it from integral limits?
  • · Replies 6 ·
Replies
6
Views
2K
Graduate Pendulum Work: Calculating the Net Force and Work Done
  • · Replies 6 ·
Replies
6
Views
3K
Undergrad The Plane in the Wind Puzzle: Does a Constant Wind Affect the Round Trip Time?
  • · Replies 5 ·
Replies
5
Views
3K
High School Sign conventions in torque and non-uniform circular motion
  • · Replies 1 ·
Replies
1
Views
2K
Calculating Maximum Height and Equilibrium Height of Pendulum with Wind Force
  • · Replies 1 ·
Replies
1
Views
5K
Undergrad Maximum height of ball with changing acceleration
  • · Replies 9 ·
Replies
9
Views
2K
Foucault Pendulum at the North Pole
  • · Replies 9 ·
Replies
9
Views
3K
Problem involving energy/motion
  • · Replies 19 ·
Replies
19
Views
3K