What is the period of a mass spring system?
The period of a spring-mass system is proportional to the square root of the mass and inversely proportional to the square root of the spring constant.
What happens to period when mass doubles?
a) If the length is doubled, the period will increase by a factor of √2 . Doubling the mass of the bob will half the period. b) If the length is doubled, the period will increase by a factor of √2 . Doubling the mass of the bob will increase the period by a factor of 4.
How can the period of the spring mass system be doubled?
Answer: For 2 springs in series, the spring constant is halved. Since m is doubled and k is halved, m/k will quadruple; and Ö(m/k) will double. Therefore, the period T will double.
Does period depend on mass spring?
The period of oscillation of a simple pendulum does not depend on the mass of the bob. By contrast, the period of a mass-spring system does depend on mass. 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.
What happens to the period of a spring if the spring constant is doubled?
The “springier” spring vibrates more rapidly, meaning that the period of oscillation decreases.
How does mass affect period?
Mass is found to have no effect on the period. The period is found to increase roughly as the square root of the length, in agreement with theory. The period increases slowly in a complex manner with amplitude.
Does mass change period?
The mass of a pendulum’s bob does not affect the period. As mass increases, so does the force on the pendulum, but acceleration remains the same. (It is due to the effect of gravity.) Because acceleration remains the same, so does the time over which the acceleration occurs.
What would happen to the period of a mass spring system if you took it to the moon?
A pendulum and a vertical mass-spring system, both are simple harmonic motion.
Why does mass not affect period?
As mass increases, so does the force on the pendulum, but acceleration remains the same. (It is due to the effect of gravity.) Because acceleration remains the same, so does the time over which the acceleration occurs. Within certain limits, mass does not affect a pendulum’s period.
What is the period equal to?
Frequency and Period are in reciprocal relationships and can be expressed mathematically as: Period equals the Total time divided by the Number of cycles.