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How does one do this question? 
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#1
Nov2012, 09:51 AM

P: 2

Figure attached below. You have a big block of mass M and a small block of mass m. When m=3kg, the acceleration of the large block is 0.6ms^{2}. When m=4kg, the acceleration of the large block is 1.6ms^{2}. The dynamic friction coefficient between the large block and the surface it slides on is μ. There is no friction between any other surface. Questions:
a) Express the relationship between the movement of block m and block M b) Derive expressions for the motion of block m and block M. c) Determine the mass of block M and the dynamic friction coefficient, μ, between it and the surface it slides on. 


#2
Nov2012, 10:02 AM

P: 907

Nice problem. So what have you got so far? How does the motion of mass m relate to the motion of mass M?



#3
Nov2012, 10:19 AM

P: 2

I know that [itex] x_m = 2 x_M [/itex], so that the small block moves two times as much as the big block. My problem is decomposing the forces.



#4
Nov2012, 10:32 AM

Emeritus
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Thanks
PF Gold
P: 6,308

How does one do this question?
Draw free body diagrams. Start with the mass m. What forces are acting on m?



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