Analyzing Motion of Mechanical System with Initial Conditions

In summary, the conversation is about determining the motion of a mechanical system with specific initial conditions. The system consists of ideal springs and point masses that cannot collide. The goal is to find equations for y1(t) and y2(t), which represent the distances of the bottom end of the springs from the top. Gravitational effects are not needed for the calculations. The person asking for help has not provided any previous work or equations.
  • #1
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Determine the motion of this mechanical system-
*Pic attached*

satisfying the initial conditions :-
y1(0) = 1
y2(0) = 2
y1'(0) = -2*sqrt(6)
y2'(0) = sqrt(6)

I need to find equations for y1(t) and y2(t). Please help :D

PS ideal springs, point masses cannot collide, y1 and y2 are the distances of the bottom end of the springs from the top, so that the length of the second spring is y2-y1. As for gravitational effects, gravity pulls on the weights to start the springs moving, but you don't need to deal with gravity in your calculations.
 

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  • #2
Can anyone help?
 
  • #3
Can anyone help?
 
  • #4
No one helps maybe because you did not show us your work so far, equations you know etc.
 

FAQ: Analyzing Motion of Mechanical System with Initial Conditions

What is "Analyzing Motion of Mechanical System with Initial Conditions"?

"Analyzing Motion of Mechanical System with Initial Conditions" refers to the process of studying and predicting the movement of a mechanical system, such as a machine or a vehicle, based on its initial conditions, such as its starting position, velocity, and acceleration.

Why is analyzing motion of mechanical systems with initial conditions important?

Analyzing motion of mechanical systems with initial conditions is important because it allows us to understand and optimize the performance of these systems. By predicting their movements, we can identify potential problems and make adjustments to improve their efficiency, safety, and functionality.

What are the key factors to consider when analyzing motion of mechanical systems with initial conditions?

The key factors to consider when analyzing motion of mechanical systems with initial conditions include the system's mass, velocity, acceleration, forces acting upon it, and external factors such as friction and air resistance. Additionally, the initial conditions, such as the system's starting position and velocity, must also be taken into account.

What are some tools and techniques used for analyzing motion of mechanical systems with initial conditions?

Some common tools and techniques used for analyzing motion of mechanical systems with initial conditions include mathematical equations and formulas, computer simulations, and physical experiments. These methods allow us to model and predict the behavior of the system under different initial conditions and identify any potential issues.

How can analyzing motion of mechanical systems with initial conditions benefit society?

Analyzing motion of mechanical systems with initial conditions can benefit society in many ways. It can help us design and improve transportation systems, such as cars and airplanes, to make them safer and more efficient. It can also aid in the development of new technologies and machines that can improve our daily lives and advance various industries, such as manufacturing and robotics.

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