Question

Block 𝐴, 𝐵, and 𝐶 are placed as in figure and connected by ropes of negligible mass. Both 𝐴 and 𝐵 weigh 25 𝑁 each, and the coefficient of kinetic friction between each block and the surface is 0.35. Block 𝐶 descends with constant velocity. a) Draw two separate free-body diagrams showing the forces acting on 𝐴 and on 𝐵. b) Find the tension in the rope connecting blocks 𝐴 and 𝐵. c) What is the weight of block 𝐶? d) If the rope connecting 𝐴 and 𝐵 were cut, what would be the acceleration of 𝐶?

Answer 1

a)

b)

$$T _ 1 ​ =μN _ A ​ =(0.35)(25)=8.75\ N$$

c)

$$w _ c ​ =T _2 ​ =9+w _ B ​ (\sin37+0.35\cos37)=31\ N$$

d)

$$a_c=1.6\frac{m}{s^2}$$