File:PulleySol1.jpeg

Let the upper pulley be pulley 2, and the lower pulley be pulley 1. [math] G [/math] is the weight of the load.

Method 1: using forces.

Since The two upwards tension forces are from the same string, they are equal. Let that force be [math]T[/math]. By drawing the free body diagram of pulley 1, we find that [math]T+T-G=0, T=\frac{G}{2}.[/math] Then, since [math]F_{in}[/math] is from the same string as the tension, [math]F_{in}=T=\frac{G}{2}, IMA = 2.[/math]

Method 2: Using distances.

When the load moves upward by [math]d_{out}[/math], pulley 1 moves upward by [math]d_1=d_{out}[/math]. Therefore, the length of the middle and right segment of the string is each reduced by [math]d_1[/math]. Since the total length of the string stays the same, the length of left segment must increase by [math]d_{in}=2d_1=2d_{out}, IMA = 2.[/math]

Licensing

This file does not have information about its copyright status. Due to the Scioly.org Wiki's CC-BY-SA 3.0 license, files must meet certain copyright standards in order to exist on the wiki. To the uploader: If you have any more information about the source of this file, please edit this page to include that information. A staff member will review this file soon and will help determine the copyright status of this file. If it does not comply with the wiki's copyright policy, the file may unfortunately have to be removed. If the file does meet the wiki's standards, the license for the file will be updated. If this copyright issue is not solved by June 01 2022, the file will be deleted. For staff - a step by step process for solving copyright issues: You are welcome to use a tool similar to Google Image Search to search the internet for the problematic file. If the file comes from a site which is clearly licensed under a compatible CC license, then you are welcome to appropriately tag the image and remove this template. The most reliable and correct way of solving a copyright violation is to reach out to the user. Please PM them on the forums, leave a message on their talk page, and if possible, DM them on Discord. You do not need to do all of these actions at once. Wait 7 days before preceeding to step 2. If the user has not responded, then please delete this file. If a discussion is in progress, please continue the discussion. After 7 days has passed since the user's last message, you can delete the file.