The three blocks shown are released from rest and are observed to move with acce

Question

The three blocks shown are released from rest and are observed to move with accelerations that have a magnitue of 1.5 m/s^2. What is the magnitude of the friction force on the block that slides horizontally? Disregard any pulley mass or friction in the pulley and let M = 2.0 kg. In the figure a block with a mass of 4kg rests on a surface while being pulled from one side with a block whose mass is 2 kg that hangs from the side off a pulley system and on the other side the block on the surface is being pulled by a block whose mass is 4 kg that hangs from the side off a pulley system. I know the answer but I need to know how they got the answer.

Explanation / Answer

m1 = 2kg, m2 = 4kg, m3 = 4kg

(m_3g - T = m_3(1.5))

T = 33.2N

(T_2 - m_1g = m_1(1.5))

(T_2 = 22.6N)

(T - T_2 - f = m_2(1.5))

f = 4.6N friction force

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