2. A 20.0 kg block is on a 37 degree incline plane and is connected by a cord to
ID: 1414070 • Letter: 2
Question
2. A 20.0 kg block is on a 37 degree incline plane and is connected by a cord to a hanging mass "M". The coefficient of friction is .2 What is the mass "M" if it moves up the plane at a constant velocity and what is the tension in the cord? a. a. b) What is the mass "M" and the tension in the cord if it moves up the plane with an acceleration of 2.0 m/s2 ? c) What is the mass "M" and the tension in the cord if the if it moves down the plane with an c) What is the mass “M” and the tension in the cord if the if it moves down the plane with an acceleration at 2.0 m/sect?Explanation / Answer
n = mg cos37 = 20*9.8*cos37 = 156.5 N
f = mue*n = 0.2*156.5 = 31.3 N
mg sin37 + f=T
T = 31.3+117.96 = 149.26 N
T = Mg
M = 15.23 kg
b.) ma = mgsin37-T+f
T = 31.3+117.96-20*2 = 109.26 N
Ma = T-Mg
M = 9.26 kg
c) ma = -mgsin37+T-f
T = 31.3+117.96+20*2= 189.26 N
Ma = Mg-T
M = 24.26 kg
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