Figure 5. Two boxes are connected by a massless rope as shown in the figure. The

Question

Figure 5. Two boxes are connected by a massless rope as shown in the figure. The hanging box is 7kg, and the box on the table is 9kg. What is the minimum coefficient of static friction that will keep the box on the table from sliding?

Figure 5. A 14 kg box sitting on a table is connected to an 11kg box as shown. The coefficient of kinetic friction between the 14kg box and the table it sits on is .24. If the box on the table is sliding, what is its acceleration, and what is the tension in the rope?

Explanation / Answer

(1)for hanging mass, T- mg= ma

since mass doesnot slide, a=0

T- 7(9.8)=7(0)

T=68.6 N

now for the bxo on the table, T- Ff=m a

T- u m g= m(0)

68.6- u (9)(9.8)=0

68.6=88.2 u

u= 68.6/88.2

u=0.78.

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