A box attached to a pulley on a ramp

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The discussion revolves around a physics problem involving a 27 kg box on a 35-degree incline, connected to a 25 kg bucket via a pulley. Key calculations include determining the applied force on the box, the friction exerted by the ramp, whether the box remains at rest, and the net acceleration. Initial findings indicate an applied friction of 152N and a friction force of 93N, but further clarification on the complete question is needed to proceed. The participants express uncertainty about the next steps in solving the problem. Understanding the dynamics of the system is crucial for finding the remaining answers.
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Homework Statement


Mass of box: 27.0 kg
mass of bucket attached to pulley: 25.0 kg
incline:35 degrees
static friction:.650
kinetic friciton: .490

Okay, there is a box on an incline. The box is attached to a pulley. A bucket is attached to the other end of the pulley. The bucket is going straight down
Its actually a few questions. What is the applied force on the box? What is the friction exerted on the box by the ramp? Does the box remain at rest relative to the ramp? What is the net acceleration on the box?



The Attempt at a Solution


Okay i figured out that the applied friction is 152N. and the friction force is 93N (i think).
I just know where to start to find the rest.
 
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