Why does the centre of gravity shift when a rod is displaced?

In summary, when a rod is displaced slightly to the right, the normal reactions between the plank and cylinders change to R1 and R2, with R2 being greater than R1. This can be explained by the torque equation for the plank about G, which shifts the center of gravity and causes more mass to come on top of one cylinder than the other. However, there is no known qualitative explanation for why the normal reactions are equal when the plank is not displaced.
  • #1
andyrk
658
5
In the first attachment, the normal reactions are equal. But when the rod is displaced a slight distance x towards the right (second attachment), the normal reactions change to R1 and R2 with R2 being greater than R1. Why is that?
 

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  • #2
Hi andy

The plank and the cylinders are in rotational equilibrium . Can you write down the torque equation for the plank about G ? This should give you the answer you are looking for :smile: .
 
  • #3
Tanya Sharma said:
Hi andy

The plank and the cylinders are in rotational equilibrium . Can you write down the torque equation for the plank about G ? This should give you the answer you are looking for :smile: .
Yes it worked. Thanks for that. But is there a qualitative explanation to it too? Something like: The CG shifted which made more mass come on top of one cylinder than the other...? Similarly, is there some qualitative explanation to why the normal reactions are equal when the plank is not displaced?
 
  • #4
I don't know :oldsmile:
 

Related to Why does the centre of gravity shift when a rod is displaced?

1. What causes the shifting of centre of gravity?

The shifting of centre of gravity is caused by any change in the distribution of mass within a body. This can be due to movement or addition/removal of weight from one part of the body.

2. How does shifting of centre of gravity affect balance?

The position of the centre of gravity is directly related to an object's balance. When the centre of gravity is shifted, the object's balance is also affected, making it more difficult to maintain stability.

3. Can shifting of centre of gravity be dangerous?

Yes, shifting of centre of gravity can be dangerous, especially in activities that require balance and coordination. It can lead to loss of balance, falls, and accidents.

4. How can the centre of gravity be shifted intentionally?

The centre of gravity can be shifted intentionally by changing the position of one's body or by adding/removing weight from a specific part of the body. This can be seen in activities such as gymnastics, where the body's centre of gravity is deliberately shifted to perform certain movements.

5. What are some common examples of shifting of centre of gravity?

Some common examples of shifting of centre of gravity include walking, running, riding a bike, and performing various sports and exercises. In all of these activities, the body's centre of gravity is constantly shifting to maintain balance and stability.

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