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# how is the period, t, of a mass on a spring oscillator related to the mass, m?

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1.how is the period, t, of a mass on a spring oscillator related to the mass, m?

Experience with a simple harmonic oscillator: A known mass is hung from a spring of known spring constant and allowed to oscillate. The time for one oscillation (period) is measured. This value is compared to a predicted value, based on the mass and spring constant.

2.how is the period, t, of a mass on a spring oscillator related to the mass, m?

The variables that effect the period of a spring-mass system are the mass and the spring constant. The equation that relates these variables resembles the equation for the period of a pendulum. The equation is. T = 2•Π•(m/k).5. where T is the period, m is the mass of the object attached to the spring, and k is the

3.how is the period, t, of a mass on a spring oscillator related to the mass, m?

Practice: Spring-mass systems: Calculating frequency, period, mass, and spring constant. Practice: Analyzing graphs of spring-mass systems. Simple harmonic motion in spring-mass systems review. This is the currently selected item. Next lesson. Simple pendulums.

4.how is the period, t, of a mass on a spring oscillator related to the mass, m?

I have the question: “A mass of \$10\$ kg bounces up and down on a spring. The spring constant is \$250 \$ N m\$^{-1}\$. Calculate the time period of the oscillation.”

5.how is the period, t, of a mass on a spring oscillator related to the mass, m?

Here’s how you can derive this equation. Start with the equation for the period T = 2pisqrt(m/k)” “, where T – the period of oscillation; m – the mass of the oscillating object; k – a constant of proportionality for a mass on a spring; You need to solve this equation for m, so start by squaring both sides of the equation T^2 = (2pi * sqrt(m/k))^2 T^2 = (2pi)^2 * (sqrt(m/k))^2 T^2 = 4pi^2 * m/k …

6.how is the period, t, of a mass on a spring oscillator related to the mass, m?

Suppose a mass of m is attached to a spring of spring constant K is lying on a horizontal floor,then you pull the mass such that the spring got stretched by x,so restoring force acting on the mass due to the spring is F=-Kx We can compare this with equation of S.H.M i.e F=-momega^2x So,we get, K=m omega^2 So, omega =sqrt(K/m) Hence time period is T=(2pi)/omega =2pi sqrt(m/K)

7.how is the period, t, of a mass on a spring oscillator related to the mass, m?

If mass is very small, the spring doesn’t deflect very much and takes a much short time to complete a cycle than if the mass was large. This is a little confusing and mostly not true. The period does not depend on the spring deflection (amplitude) and the amplitude does not depend on the mass attached but on the initial conditions.

8.how is the period, t, of a mass on a spring oscillator related to the mass, m?

, period T, and frequency f of a simple harmonic oscillator are given by , , where m is the mass of the system and k is the force constant. Displacement as a function of time in SHM is given by . The velocity is given by . The acceleration is , where .

9.how is the period, t, of a mass on a spring oscillator related to the mass, m?

A mass on a spring oscillates with a certain amplitude and a certain period T. If the mass is doubled, the spring constant of the spring is doubled, and the amplitude of motion is doubled, the period .. A: increases B: decreases C: stays the same. D: Not enough information to decide If you double m AND k, T stays exactly the same.

10.how is the period, t, of a mass on a spring oscillator related to the mass, m?

Since v max = ωA and ω = 2/s, the amplitude of the amplitude of the oscillations is A = 0.75 m. Problem: A mass-spring system oscillates with an amplitude of 3.5 cm. If the force constant of the spring of 250 N/m and the mass is 0.5 kg, determine (a) the mechanical energy of the system, (b) the maximum speed of the mass, and

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### BING based on video search results

 1  4 Simple Harmonic Motion Derivation of the Time Period for a spring mass oscillator Simple Harmonic Motion – Derivation of the Time Period for a Spring-Mass Oscillator Watch Video: https://www.youtube.com/watch?v=ogzym-DzWJA 2  Simple Harmonic Motion, Mass Spring System – Amplitude, Frequency, Velocity – Physics Problems This physics video tutorial explains the concept of simple harmonic motion. It focuses on the mass spring system and shows you how to calculate variables such as amplitude, frequency, period, maximum velocity, maximum acceleration, restoring force, spring constant k, elastic potential energy, kinetic energy, and mechanical energy in addition to … Watch Video: https://www.youtube.com/watch?v=iubb3eFBQ9U

### Wikipedia based search results

1.Harmonic oscillator

mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force F proportional to the displacement…

2.Moment of inertia

determines the torque needed for a desired angular acceleration about a rotational axis; similar to how mass determines the force needed for a desired acceleration…

3.Rotation around a fixed axis

acceleration of the center of mass is given by F n e t = M a c m {displaystyle F_{mathrm {net} }=Ma_{mathrm {cm} };!} where M is the total mass of the system…