What provides the driving force behind the motion of a mass spring system?

What provides the driving force behind the motion of a mass spring system?

The work done in moving the mass provides that potential energy. That is the driving force behind the motion. If it is a vertical system the driving forces are gravity and the spring restoring force. If it is a horizontal system (two springs and mass) only the spring restoring forces drive the system.

How does a spring mass system work?

In other words, a vertical spring-mass system will undergo simple harmonic motion in the vertical direction about the equilibrium position. In general, a spring-mass system will undergo simple harmonic motion if a constant force that is co-linear with the spring force is exerted on the mass (in this case, gravity).

What type of motion does the spring block system have?

simple harmonic motion
As an example of simple harmonic motion, we first consider the motion of a block of mass m that can slide without friction along a horizontal surface. The mass is attached to a spring with spring constant k which is attached to a wall on the other end.

What is the period of a mass spring system?

The period of a mass m on a spring of spring constant k can be calculated as T=2π√mk T = 2 π m k .

Is spring force equal to mass times gravity?

We know that the spring force is equal and opposite to the gravitational force because the mass would otherwise be accelerated by the net force. Therefore, like gravity, a displaced spring can be regarded as a definition of an applied force.

Does mass affect spring force?

For a mass-spring system, the mass still affects the inertia, but it does not cause the force. The spring (and its spring constant) is fully responsible for force. So mass only impacts the resistance to accelerations, and you notice that the more massive the object the slower it wiggles back and forth.

Is spring force constant?

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. The proportional constant k is called the spring constant.

Which is greater the force of gravity or the spring?

No. Note that the force of gravity is greater than the restoring force of the spring as the mass falls from the unstretched position to the equilibrium position. While the restoring force varies from 0 to mg (at equilibrium), the gravitational force remains constant at mg.

Which is one way that gravity can be a driving force?

There is (at least) one way that Gravity can be a driving force. That is the case of a pendulum. Although this is not a typical mass spring system, it can be modelled as one after linearisation. i.e. the equations of motions of the pendulum without linearisation is: This is very similar to the mass spring system.

Is it safe to disregard gravity as a driving force?

So as you can see, even in this case the gravity PLUS a Hookean spring act just as one Hookean spring. That is why its safe to disregard gravity. When Gravity CAN be a driving force. There is (at least) one way that Gravity can be a driving force.

How does gravity affect the spring block oscillator?

In the absence of gravity, the spring-block oscillator would oscillate and the frequency of the oscillations would be defined by its internal properties, the spring constant and the mass of the block.