Rigid Body problem please help

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AI Thread Summary
A user named Goodwill seeks help with a rigid body problem involving a uniform solid cube suspended from a horizontal axis. The question requires finding the length of an equivalent simple pendulum and the angular velocity when the cube reaches its lowest point. Participants note that an attachment with a diagram is missing, making it difficult to reference specific details. There is confusion regarding the vertical displacement in the energy conservation equation, specifically the value of 4/3√2. The discussion emphasizes the importance of clear communication and adherence to posting guidelines for effective assistance.
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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