Questions 5, 6 and 7 refer to the situation shown in the figure. A system is com

Question

Questions 5, 6 and 7 refer to the situation shown in the figure. A system is comprised of three blocks, a massless frictionless pulley, and two threads, as shown in the figure. The block with mass mg is on a perfectly smooth horizontal table. There is friction between this block and the stationary block witlh mass m2, with a coefficient of kinetic friction of HK. The hanging block with mass m1 is accelerating downward. m2 m3 5. 6. 7. Which free body diagram belongs to m2? Which free body diagram belongs to mz? Find the downward acceleration of the hanging block with mass m1. (m1 - 5 kg, m2-12 kg, m3 -9 kg, and Hk0.30) A) 1.2 m/s B) 0.25 m/s2 C) 0.98 m/s D) 0.63 m/s2 E) 1.4 m/s2

Explanation / Answer

5) Diagram D belongs to m2 as for m2 being a statinary block will not move and hence all the f orce vectors for m2 must cancel each other. It cannot be option A as the there are no frictional forces concidered in option A.

6) Diagram B is the free body diagram for m3

7) Downward force on m1 = m1g ; Tension applied by string on m3= Frinction force between m2&m3 = ukm2g

Effective force on m1 = downward force on m1 - tension applied on m3 = ukm2g - m1g

Effective force on m1= 5 x g - 0.3 x 12 x g = 1.4 x g

Effective Acceleration on m1 = (Effective force on m1)/m1 = 1.4 x

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