Simple Harmonic motion of buoyant force

Click For Summary

Homework Help Overview

The problem involves a cylinder submerged in a liquid, exploring the conditions under which its motion can be classified as simple harmonic. The scenario includes specific parameters such as the mass of the cylinder, its dimensions, and the density of the liquid.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss drawing a free body diagram (FBD) to identify forces acting on the cylinder, including buoyant force and gravitational force. There is an expression for the net force derived from these forces, but uncertainty remains about how to proceed from this point.

Discussion Status

The discussion is ongoing, with some participants expressing confusion about the next steps in the analysis. A suggestion to find the position of equilibrium has been made, indicating a potential direction for further exploration.

Contextual Notes

Participants have noted feelings of being lost in the problem, highlighting the challenge of applying concepts of simple harmonic motion in this context.

Jake4
Messages
111
Reaction score
1

Homework Statement


a cylinder is in a deep pool of liquid. it has mass 2kg, diameter 10cm, height 15cm. the density of the liquid is 1.5g/cm^3. The cylinder is submerged up to 12cm, and let go. Show that the resulting motion is simple harmonic.

Homework Equations



x=Acos(wt)

buoyant force = M(of displaced water) * g
 
Physics news on Phys.org
Draw a FBD with all forces acting on system.
 
i drew a fbd, and that got me F= F(buoyant)-mg

thats as far as I can get... I've never felt so lost in a physics problem, i don't even know where to start...
 
Try to find the position of equilibrium first.
 

Similar threads

Replies
36
Views
4K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 10 ·
Replies
10
Views
4K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 21 ·
Replies
21
Views
3K