How do you find the period of a mass spring?
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 .
What is a spring mass system?
From Wikipedia, the free encyclopedia. In a real spring–mass system, the spring has a non-negligible mass . Since not all of the spring’s length moves at the same velocity as the suspended mass , its kinetic energy is not equal to .
What if a spring has mass?
The mass suspended by a spring, which has its mass, becomes a part of a more complex system. If M is oscillating, we observe that during the motion each section of the spring is moving with its velocity different from that of the suspended mass. We have then the motion of body M and that of the spring to determine.
What is the effective mass of a vibrating spring?
The effective mass of a spring which is uniform along its length (not tapered or distorted by use) is equal to one-third of its actual mass.
What factors affect spring constant?
In dealing with a coil spring the spring constant will depend on the stiffness of the spring material, the thickness of the wire from which the spring is wound and, diameter of the turns of the coil, the number of turns per unit length and the overall length of the spring.
Why is the force of a spring negative?
The spring force is called a restoring force because the force exerted by the spring is always in the opposite direction to the displacement. This is why there is a negative sign in the Hooke’s law equation. Pulling down on a spring stretches the spring downward, which results in the spring exerting an upward force.
Does a spring do positive or negative work?
The force you exert on the spring is in the same direction as your displacement. You have done positive work on the spring. The force that the spring exerts on you is in the opposite direction to its displacement so the spring has done negative work.