Pendulum- Maximum displacement?

Click For Summary
The maximum displacement of a pendulum, also known as amplitude, is the farthest distance it swings away from its resting point. It can be measured from the central point to the end of the arm. In mathematical terms, if given a periodic sine function like s = A sin(ωt), the maximum displacement is represented by the amplitude A. This amplitude indicates the distance from the lowest point of the pendulum to the highest point. Understanding these concepts is essential for solving problems related to pendulum motion.
yourmom98
Messages
42
Reaction score
0
what is the maximum displacement of a pendulum i don't know what it is. is it the distance from the central point to the end of the arm? and how do i solve it if i am given a periodic Sin function?
 
Physics news on Phys.org
The "maximum displacement" is usually the distance, measured along the arc, from the lowest point of the pendulum to the highest. If you are given a function of the form s= A sin(ωt), then the displacement is the amplitude, A.
 


The maximum displacement of a pendulum is the farthest distance the pendulum swings away from its resting point. This can be measured from the central point to the end of the arm, as you mentioned. To solve for the maximum displacement using a periodic sine function, you can use the amplitude of the function. The amplitude represents half of the distance between the highest and lowest points of the sine curve, so it would be the maximum displacement of the pendulum.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 16 ·
Replies
16
Views
1K
  • · Replies 27 ·
Replies
27
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 31 ·
2
Replies
31
Views
4K
  • · Replies 32 ·
2
Replies
32
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
17
Views
1K
Replies
6
Views
996
  • · Replies 16 ·
Replies
16
Views
1K
  • · Replies 15 ·
Replies
15
Views
2K