Two masses m 1 = 5.00 kg and m 2 = 3.00 kg are connected by a string as shown. M

Question

Two masses m1= 5.00 kg and m2 = 3.00 kg  are connected by a string as shown. Mass m1 sits on a rough surface with unknown frictional coefficient mk.  After releasing the masses, they move with an acceleration of a = 2.80 m/s.

(a)       Draw a free body diagram for each mass.

(b)       What is the frictional coefficient of the surface.  

                        

Two masses m1= 5.00 kg and m2 = 3.00 kg are connected by a string as shown. Mass m1 sits on a rough surface with unknown frictional coefficient mk. After releasing the masses, they move with an acceleration of a = 2.80 m/s. Draw a free body diagram for each mass. What is the frictional coefficient of the surface.

Explanation / Answer

b) on m1 :    T - u5g   = 5 x 2.80

on m2 :   3g - T = 3x 2.80

add them

3g - u x 5g = (5 +3) x 2.80

u = 0.143

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