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Pulley System Design for lifting platform bed

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Since I am not an engineer, I am looking for recommendations on how to design/configure a pulley system that would assist me with lowering and lifting a "Lori Bed" into place. This is a Murphy-type bed that was designed without the installation of pneumatic hardware. The "legs" are curved so that the platform can be rocked up into place. I am imagining that a pulley could be installed over the wall frame and whatever additional configuration recommended would pull the foot of the bed up into place. I have attached 2 images that show the bed lowered for use and stowed away. I'm guessing the platform with mattress weighs approximately 100-125 lbs. Thank you in advance.

Bed Down Photo.JPG

Bed Up Photo.JPG

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