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.

Does period of a spring change with mass?

Mass on a Spring A stiffer spring with a constant mass decreases the period of oscillation. Increasing the mass increases the period of oscillation.

How do you find the period of a 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 the period if the mass is tripled?

If the mass is tripled to 3m, the period of oscillation is (a) 3T (b) T /3 (c) √3 T (d) T / √3 (e) T The period of a spring is given by T = 2π(m /k)1/2. Thus, if the mass is tripled, the period increases by a factor of √3.

How does gravity affect the period of a mass on a spring?

The effect of gravity is only to shift the equilibrium point, so at equilibrium (at rest), a vertical spring will be extended as compared with the same spring in a horizontal position. But this does not affect the period.

Does mass affect frequency of a pendulum?

Mass of the bob at the end of the pendulum-Changing the mass of the pendulum bob does not affect the frequency of the pendulum. The momentum built up by the acceleration of gravity causes the mass to swing in the opposite direction to a height equal to the original position.)

What happens to spring constant if mass is doubled?

For a spring-mass system, if the the spring is replaced by 2 springs of the same kind in series, and the mass is doubled, what happens to the period of oscillation? 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.

What does a larger spring constant mean?

stiffer
The spring constant, k, is a measure of the stiffness of the spring. It is different for different springs and materials. The larger the spring constant, the stiffer the spring and the more difficult it is to stretch.

How is the period of a spring mass system determined?

One measurable quantity that can be used to distinguish one spring-mass system from another is the period. As discussed earlier in this lesson, the period is the time for a vibrating object to make one complete cycle of vibration. The variables that effect the period of a spring-mass system are the mass and the spring constant.

How are the frequency and the period of a spring related?

Frequency and period are inversely related. The highest frequency will have the shortest (smallest) period. Both springs have the same spring constant; only the suspended mass (m) is different. A spring with a smaller suspended mass will have a shorter period.

What is the restoring force for a mass on a spring?

The restoring force causes the vibrating object to slow down as it moves away from the equilibrium position and to speed up as it approaches the equilibrium position. It is this restoring force which is responsible for the vibration. So what is the restoring force for a mass on a spring?

What happens to the mass of a spring when it is disturbed?

As we have seen, when a mass on a spring is disturbed it executes simple harmonic oscillation about its equilibrium position. In physical terms, if the mass’s initial displacement is positive () then the restoring force is negative, and pulls the mass toward the equilibrium point ().