Finding when acceleration is zero

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To determine when the acceleration of the block becomes zero, the net forces in both the x and y directions must be balanced. The tension in the rope and the frictional force need to equal the gravitational force acting on the block. The coefficient of kinetic friction and the mass of the block are critical for calculating the frictional force. Without a visual representation of the setup, it is challenging to provide a precise solution. Understanding the relationship between tension, friction, and gravitational forces is essential to find the value of x where acceleration ceases.
alexi_b
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Homework Statement


A block of mass 2.42kg is accelerated across a rough surface by a rope passing over a pulley, as shown in the figure below. The tension in the rope is 13.9N, and the pulley is 12.3cm above the top of the block. The coefficient of kinetic friction is 0.395.

A: 2.28 m/s^2

Calculate the value of x at which the acceleration becomes zero. <-- this is what I'm stuck on


Homework Equations

The Attempt at a Solution


I know when acceleration is equal to zero, it means that the forces in the x and y direction are equal to zero, but that is as far as i know of how I can complete this. Any suggestions?
 
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alexi_b said:

Homework Statement


A block of mass 2.42kg is accelerated across a rough surface by a rope passing over a pulley, as shown in the figure below. The tension in the rope is 13.9N, and the pulley is 12.3cm above the top of the block. The coefficient of kinetic friction is 0.395.

A: 2.28 m/s^2

Calculate the value of x at which the acceleration becomes zero. <-- this is what I'm stuck on


Homework Equations

The Attempt at a Solution


I know when acceleration is equal to zero, it means that the forces in the x and y direction are equal to zero, but that is as far as i know of how I can complete this. Any suggestions?
I don't know what x stands for, but you have to find when the net force is zero, as you said. Without a figure, it is hard to help
 
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