23 String
23 String
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A 570-g block on a level track is pulled horizontally by a string that runs over a pulley at the end of the tr?
A 570-g block on a level track is pulled horizontally by a string that runs over a pulley at the end of the track. Hanging from the pulley is a 157-g brass mass. The coefficient of kinetic friction between the block and the track is 0.23. Find the acceleration of the block toward the pulley.
Use free body diagrams
about the block we have T -μ*m1*g = m1*a or T = m1*a + μ*m1*g
about the hanging block m2*g - T = m2*a or T = m2*g - m2*a
equating these we get m1*a + μ*m1*g = m2*g - m2*a
or a = (m2*g - μ*m1*g)/(m1 + m2) = (0.157*9.80 - 0.23*0.570*9.80)/(0.570 + 0.157) = 0.349m/s^2