Table of Contents
- 1 What is the equilibrium position of a vertical spring?
- 2 What does it mean when a spring is at equilibrium?
- 3 What happens to the velocity of the block as it moves past equilibrium and the spring begins to compress?
- 4 What is a vertical spring?
- 5 What is the equilibrium position of a horizontal spring?
- 6 What is the speed of the block when it hits the spring?
- 7 What is the force exerted by a spring at equilibrium?
- 8 How does a spring exert a force on an object?
- 9 What is the equilibrium length of an ideal spring?
What is the equilibrium position of a vertical spring?
When a mass is hung vertically from a spring, the spring stretches. The force on the mass due to the spring is proportional to the amount the spring is stretched. There is a point at which the spring force and the weight are equal in magnitude but opposite in direction. This point is called the equilibrium position.
What does it mean when a spring is at equilibrium?
A ideal spring has an equilibrium length. It is a measure of the spring’s stiffness. When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position.
When a mass is attached to a vertical spring and slowly?
An object of an mass M is attached to a vertical spring which slowly lowers to equilibrium position. This extends the spring x. If the same objects is attached to the same vertical spring but permitted to fall suddenly instead , then the maximum extension of spring is.
What happens to the velocity of the block as it moves past equilibrium and the spring begins to compress?
The block is moved to compress the spring, and the system is released from rest. The block reaches maximum speed when the spring reaches its equilibrium length – that’s the point where all the energy stored in the spring is converted to kinetic energy.
What is a vertical spring?
In other words, a vertical spring-mass system will undergo simple harmonic motion in the vertical direction about the equilibrium position. That motion will be centered about a point of equilibrium where the net force on the mass is zero rather than where the spring is at its rest position.
Why does a vertical spring oscillate?
Oscillation of Mass Due to a Vertical Spring: Let a small mass m be attached to its free end. Due to the action of deforming force mg, the spring extends. The negative sign indicates that the direction of restoring force (upward) is opposite to the direction of extension (downward).
What is the equilibrium position of a horizontal spring?
The equilibrium position is where the spring-mass system “wants” to naturally be. When the mass is displaced from the equilibrium, the force, known as restoring force, will always point back toward equilibrium.
What is the speed of the block when it hits the spring?
1 m/s.
Before the block hits the spring, it has a speed of 1 m/s. The block’s mass of 1 kg and the spring has a spring constant of 1 N/m. This work represents energy transferred to the spring and stored in it. The energy comes from the kinetic energy of the block which is slowing down.
How do you find the equilibrium position for a vertical spring of spring constant k that you hang a mass m off of?
Supose the length of the spring is stretche by a length △l. The tension in the spring is k△l and this is the force by the spring on the block. The other force on the block is mg due to gravity. For equilibrium, mg=k△lor△l=mgk.
What is the force exerted by a spring at equilibrium?
The force exerted by a spring on objects attached to its ends is proportional to the spring’s change in length away from its equilibrium length and is always directed towards its equilibrium position.
How does a spring exert a force on an object?
The object exerts a force on the spring and the spring exerts a force on the object. The force F the spring exerts on the object is in a direction opposite to the displacement of the free end. If the x-axis of a coordinate system is chosen parallel to the spring and the equilibrium position of the free end of the spring is at x = 0, then
What happens when a spring is compressed and stretched?
When a spring is stretched or compressed, so that its length changes by an amount x from its equilibrium length, then it exerts a force F = -kx in a direction towards its equilibrium position. The force a spring exerts is a restoring force, it acts to restore the spring to its equilibrium length. A stretched spring supports a 0.1 N weight.
What is the equilibrium length of an ideal spring?
A ideal spring has an equilibrium length. If a spring is compressed, then a force with magnitude proportional to the decrease in length from the equilibrium length is pushing each end away from the other. If a spring is stretched, then a force with magnitude proportional to the increase in length from the equilibrium length is pulling each end