How to find mass of block from static friction

AI Thread Summary
To find the mass of a block using static friction, start by drawing a Free Body Diagram (FBD) to visualize the forces involved. Understanding the basic form of force through Newton's Laws is crucial, particularly the relationship F=ma. If the acceleration is known, it can be used to solve for mass, but care must be taken to avoid circular reasoning. The discussion suggests using the equation F=m(g-a) to calculate force, leading to a mass of approximately 2.555 kg. This approach indicates a solid understanding of the principles of static friction and motion.
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Okay. If you haven't, draw a Free Body Diagram (FBD). It might help you to visualize what is going on.

Good start solving for the max static friction. Think about where the force comes from. What is F in it's most basic form (Think of Newton's Laws)? Once you have that, look at the FBD and see what you know and what you don't know.

If you're still having troubles then, let us know where you get stuck and we'll see what we can do to assist.
 
So if F=ma, and I know the acceleration could I solve for the mass? But I feel like that would just be circular. Perhaps I would solve for the force by using F=m(g-a)? So the force is 31.572=m(9.8+2.556), so m=2.555kg. Am I thinking in the right direction?
 

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