Consider a block (mass, M = 4.25 kg) placed on a horizontal table. Another objec

Question

Consider a block (mass, M = 4.25 kg) placed on a horizontal table.  Another object (mass, m = 0.627 kg) is attached with a string and hung over a pulley as shown in the figure below.  The coefficient of static and kinetic friction between the block and the ramp are 0.200 and 0.124, respectively.  If the block is initially at rest, determine the acceleration of the block in m/s2. Consider a block (mass, M = 4.25 kg) placed on a horizontal table.  Another object (mass, m = 0.627 kg) is attached with a string and hung over a pulley as shown in the figure below.  The coefficient of static and kinetic friction between the block and the ramp are 0.200 and 0.124, respectively.  If the block is initially at rest, determine the acceleration of the block in m/s2.

Explanation / Answer

static friction = 4.25*9.8*0.2 = 8.33 N

kinetiv friction = 4.25*9.8*0.124 = 5.1646 N

mg - kinetic friction = ma

0.627*9.8 - 5.1646 = 0.627*a

a = (6.1446-5.1646)/0.627 = 1.563 m/s^2

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