System in static equilibrium given a nudge. What happens?

In summary: Without knowing the exact location of the masses or the dimensions of the ramp or the pulley, it is difficult to say for certain what will happen.In summary, without knowing the specifics of the problem, it is difficult to say for certain what will happen when the 2 kg weight is nudged downwards.
  • #1
Blythe
1
0
We're given a problem: A 2.0 kg mass hangs from a rope attached to an unknown mass m on a frictionless ramp inclined at 20 degrees above the horizontal. This is drawn as a diagram which shows the incline at 20 degrees where the hanging mass is 2.0 kg and the attatched mass on the frictionless ramp is labeled m (found in an earlier problem m=5.8 kg).

The question I'm having issues with is if the 2.0 kg mass is given a quick nudge downwards, both masses will start to move. After being nudged, will the masses gradually speed up, slow down, or maintain at a constant speed? explain.

What I was thinking is that since it's a frictionless, there's nothing stopping the objects from maintaining the velocity they were given by whatever was nudging them, so they would have no reason to stop and therefore continue at a constant speed.
I'm not sure if this is right or not...?
 
Physics news on Phys.org
  • #2
I'd like to see the original diagram, just in case anything is missing, but as posed you are right.
If there are no frictional forces and no change in geometry and the system was in equilibrium to start with, then I can't see anything to change their motion.
 
  • #3
Blythe said:
We're given a problem: A 2.0 kg mass hangs from a rope attached to an unknown mass m on a frictionless ramp inclined at 20 degrees above the horizontal. This is drawn as a diagram which shows the incline at 20 degrees where the hanging mass is 2.0 kg and the attatched mass on the frictionless ramp is labeled m (found in an earlier problem m=5.8 kg).
The mental picture I have is with the 2 kg mass hanging below the ramp (maybe there is a slot cut in the ramp through which the rope can feed). Even if the ramp is frictionless then there may be other forces acting. What about gravity, for instance?

Edit: Scratch that. Based on the numbers (5.8 kg, 2.0 kg and 20 degrees), it is clear that the 2 kg weight hangs from a pulley near the top of the ramp. The resulting tension parallel to the ramp is just enough to hold the 5.8 kg weight in place.
 
Last edited:
  • #4
jbriggs444 said:
Edit: Scratch that. Based on the numbers (5.8 kg, 2.0 kg and 20 degrees), it is clear that the 2 kg weight hangs from a pulley near the top of the ramp. The resulting tension parallel to the ramp is just enough to hold the 5.8 kg weight in place.
Good deduction! (If correct, that is. :wink: )

This illustrates the perils of attempting to solve problems where the poster withholds crucial information, viz., the diagram.
 

Related to System in static equilibrium given a nudge. What happens?

1. What is static equilibrium?

Static equilibrium refers to a state in which an object or system remains at rest or in a state of constant motion with a balanced set of forces acting on it.

2. What is meant by giving a system a nudge?

A nudge refers to a small and sudden force applied to a system, which can cause a slight disturbance or displacement from its original position.

3. What happens to a system in static equilibrium when given a nudge?

When a system in static equilibrium is given a nudge, it will experience a temporary displacement from its original position. However, as long as the forces acting on the system remain balanced, it will eventually return to its state of static equilibrium.

4. Can a small nudge cause a system in static equilibrium to move significantly?

It depends on the strength of the nudge and the initial state of the system. If the nudge is strong enough, it can cause a significant movement or even disrupt the static equilibrium of the system. However, if the nudge is small and the system is already in a stable state, the movement will likely be minimal.

5. How does friction affect a system in static equilibrium when given a nudge?

Friction can play a significant role in the movement of a system in static equilibrium when given a nudge. If the system is on a surface with high friction, the nudge may not cause much movement as the frictional force will act against it. However, if the system is on a low-friction surface, the nudge may cause a more significant displacement as there is less resistance to the movement.

Similar threads

  • Introductory Physics Homework Help
Replies
6
Views
3K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
28
Views
5K
  • Introductory Physics Homework Help
Replies
2
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
4K
Replies
14
Views
1K
  • Introductory Physics Homework Help
Replies
22
Views
5K
  • Introductory Physics Homework Help
Replies
13
Views
2K
  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
1K
Back
Top