Accelerating Lift Homework: Equations of Motion

In summary, the conversation discusses a homework problem involving a light spring attached to an accelerating lift with a block of mass m. The block is held stationary at its equilibrium length while the lift accelerates at a constant rate between -1 and 1. At t=0, the block is released and begins to execute simple harmonic motion. The equation of motion for the block in an inertial frame is (Xo-X)'' + k/m(Xo-X) = g, where Xo'' = Ag. The conversation also mentions confusion and urgent need for help in solving the equation.
  • #1
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Homework Statement



A light spring force const. k hands from ceiling of an accelerating lift with a block of mass m attached to its bottom end. Block is held stationary (in lift frame) with the string at its equilibrium length while the lift is accelerating at a rate Ag where A is between -1 and 1 (const.) At t=0 the block is released from rest allowing it to execute SHM. Denote X by distance of block from origin of intertial FoR and Xo its distance when the spring is at equil. length..

write down eqn of motion of block in interial FoR..

then more qs

Homework Equations





The Attempt at a Solution



Im quite confused.
So taken intertial FoR to be the ground. but if block is stationary when spring is at equilibrium length and lift accelerating at Ag then surely that means A = -1?

help? Thanks
 
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  • #2
Thoughts? This is quite urgent sorry!
 
  • #3
Is it k(Xo-X) - mg = mx''?
 
  • #4
Actually I get (Xo-X)'' + k/m(Xo-X) = g

I know Xo'' = Ag

but how do i solve this eqn of motion?
 

1. What is the purpose of "Accelerating Lift Homework: Equations of Motion"?

The purpose of this homework is to help students understand the equations of motion that govern the acceleration of an object. This knowledge is essential for understanding how objects move and interact in the physical world, and is particularly important in fields such as physics and engineering.

2. What are the main equations of motion that are covered in this homework?

The main equations of motion covered in this homework are the three equations of Newton's second law, which describe the relationship between an object's mass, acceleration, and force. These equations are F=ma, a=F/m, and m=F/a. They are central to understanding the concept of acceleration and how it relates to other physical quantities.

3. What is the significance of understanding acceleration in the context of lift?

Understanding acceleration in the context of lift is crucial for understanding how objects such as airplanes and rockets are able to fly. Lift is the force that allows these objects to overcome the force of gravity and stay in the air, and acceleration plays a key role in determining the magnitude and direction of this force.

4. How does this homework help with problem-solving skills?

This homework is designed to help students develop problem-solving skills by providing practice with applying the equations of motion to real-world scenarios. By working through problems and using these equations to analyze and solve them, students can improve their critical thinking and analytical skills, which are valuable in any scientific field.

5. Are there any prerequisites for this homework?

This homework assumes a basic understanding of concepts such as force, mass, and acceleration. It is recommended that students have prior knowledge of these concepts before attempting this homework. Additionally, a working knowledge of algebra and basic calculus is also helpful for solving some of the more complex problems.

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