Two masses on each end of a spring lying horizontally

In summary, a spring with two masses attached horizontally is a physical system that allows for oscillatory motion along the horizontal axis. Its motion is similar to that of a vertical spring, but with limitations to the horizontal direction. The period of oscillation is affected by the masses, spring stiffness, and amplitude. The two masses can have different masses, leading to interesting phenomena. Real-life applications include shock absorbers, clocks and watches, and experiments on waves and oscillatory motion.
  • #1
James Ray
13
0

Homework Statement



Screenshot_2016-05-18-19-42-04.png

Homework Equations


T= 2*pi*sqrt(m/k)
U=1/2*k*x^2

The Attempt at a Solution



https://www.physicsforums.com/attachments/100892,

20160518_211700.jpg
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  • #2
Would you please explain your scribble? please type in your answer and work.
 
  • #3
James, by how much was the spring extended?
 

1. What is a spring with two masses attached horizontally?

A spring with two masses attached horizontally is a physical system in which two masses are connected by a spring, which is oriented horizontally. The masses are free to move along the horizontal axis, and the spring provides a restoring force that allows for oscillatory motion.

2. How does the motion of the masses on a horizontal spring differ from a vertical spring?

The motion of the masses on a horizontal spring is similar to that of a vertical spring in that both exhibit simple harmonic motion. However, the motion of the masses on a horizontal spring is constrained to the horizontal axis, while a vertical spring allows for motion in the vertical direction.

3. What factors affect the period of oscillation for a horizontal spring with two masses?

The period of oscillation for a horizontal spring with two masses is affected by the masses of the objects, the stiffness of the spring, and the amplitude of the oscillation. The period can be calculated using the equation T = 2π√(m/k), where T is the period, m is the total mass, and k is the spring constant.

4. Can the two masses on a horizontal spring have different masses?

Yes, the two masses on a horizontal spring can have different masses. In fact, having different masses can result in interesting phenomena such as beats and phase differences in the motion of the masses.

5. What are some real-life applications of a horizontal spring with two masses?

A horizontal spring with two masses has many real-life applications, including in shock absorbers for vehicles, in mass-spring systems used in clocks and watches, and in systems for measuring mass and weight. It is also used in experiments to study the properties of waves and oscillatory motion.

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