Rigid Body problem please help

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Homework Help Overview

The discussion revolves around a rigid body problem involving a uniform solid cube suspended from a horizontal axis. Participants are exploring the dynamics of the cube as it swings under the influence of gravity, specifically focusing on finding the length of an equivalent simple pendulum and determining the angular velocity at the lowest point of its swing.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to clarify the setup of the problem, particularly the axis of suspension and the motion of the cube. Questions have been raised regarding the vertical displacement in the energy conservation equation and how it relates to the problem's parameters.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the original poster's diagram and the assumptions made in their calculations. Some guidance has been offered regarding the interpretation of the problem, but no consensus has been reached yet.

Contextual Notes

There are constraints regarding the visibility of attachments and adherence to posting guidelines, which may affect the clarity of the discussion. Participants have noted the importance of referencing specific lines in images for effective communication.

Goodwill
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Homework Statement
A uniform solid cube of edge length 2a is suspended from a horizontal axis along one edge. find the length of the equivalent simple pendulum. given that the cube is released from rest with
Relevant Equations
I = Icm + Md*d
I
 
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Hello @Goodwill ,
:welcome:
Please complete your post and add your best attempt. And your question ... :smile:

##\ ##
 
BvU said:
Hello @Goodwill ,
:welcome:
Please complete your post and add your best attempt. And your question ... :smile:

##\ ##
 
Attached a solution, please check
 
Goodwill said:
Attached a solution, please check
Welcome, Goodwill!
No attachment is visible.
 
Lnewqban said:
Welcome, Goodwill!
No attachment is visible.
 
IMG_20240204_183229.jpg
IMG_20240204_183210.jpg
 
Question
A uniform solid cube of edge length 2a is suspended from a horizontal axis along one edge. find the length of the equivalent simple pendulum. given that the cube is released from rest with its centre of mass level with the axis, find is angular velocity when it reaches the lowest point
 
  • #11
Goodwill said:
Question
A uniform solid cube of edge length 2a is suspended from a horizontal axis along one edge. find the length of the equivalent simple pendulum. given that the cube is released from rest with its centre of mass level with the axis, find is angular velocity when it reaches the lowest point
Your diagram above appears to show a vertical axis. As I understand the question, the cube is swinging backwards and forwards under gravity.
 
  • #12
Goodwill said:
PeroK said:
Your diagram above appears to show a vertical axis. As I understand the question, the cube is swinging backwards and forwards under gravity.
I couldn't draw it upside down but it just a illustration how the system moves
,
 
  • #13
Equivalent pendulum.jpg
 
  • #14
One of the problems with posting images of working, in violation of the guidelines, is that others cannot easily reference specific lines in it.

In your energy conservation equation, how do you get ##\frac 43\sqrt 2## for the vertical displacement?
 

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