A block of mass m1 = 36 kg on a horizontal surface is connected to a...
A block of mass m1 = 36 kg on a horizontal surface is connected to a mass m2 = 17.1 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction between m1 and the horizontal surface is 0.25. (a) What is the magnitude of the acceleration (in m/s2) of the hanging mass? ____ m/s2 (b) Determine the magnitude of the tension (in N) in the cord above the hanging mass. ___N
Homework Answers
considering FBD of m2
m2 a = m2 g - T
T = m2 g - m2 a (i)
Considering FBD of m1
T = m1 a + u m1 g
fron (i)
m2 g - m2 a = m1 a + u m1 g
a( m1 + m2) = g ( m2 - u m1)
a ( 36 + 17.1) = 9.8 *( 17.1 - 36* 0.25)
a = 1.495 m/s^2
=====
Putting in (i)
T = 142 N
======
Comment in case any doubt, will reply for sure.. Goodluck
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