Constraint Equations Homework: v0, v1, v2

Click For Summary
The discussion centers on determining the relationship between the velocities v0, v1, and v2 of blocks A, B, and C. It is established that the inextensibility of the string implies that the velocities at both ends must be equal, leading to the conclusion that v1 equals v2. However, confusion arises regarding whether to consider velocities relative to block C or the ground, as different frames yield different results. Clarification is sought on whether the speeds should be measured with respect to the block or the ground, emphasizing the importance of consistent reference frames in solving the problem. The conversation highlights the need for careful consideration of relative motion in physics problems involving multiple objects.
Titan97
Gold Member
Messages
450
Reaction score
18

Homework Statement


Block C is moving with a velocity v0 and block A and B are moving with velocities v1 and v2 with respect to block C. Find the relation between v0, v1 and v2
Capture.PNG


Homework Equations


none

The Attempt at a Solution


Since the string is in-extensible, its velocity at both ends should be equal. So v1=v2
But should i take the velocity with respect to Earth instead of velocity with respect to block? Both gives me different answers.
 
Last edited:
Physics news on Phys.org
Titan97 said:
So v01=v2
Did you mean v1=v2?
What do you think - should it be the speeds relative to the block that are equal or speeds relative to the ground?
 
The string itself has a velocity v0 if A and B are at rest. Then if A acquires a velocity v1, then B should also have a velocity v1.
 
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 10 ·
Replies
10
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 35 ·
2
Replies
35
Views
6K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 6 ·
Replies
6
Views
5K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 7 ·
Replies
7
Views
5K