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a) Find a general expression for mass m2 so that m1 will move at a constant speed up the ramp. Your answer will be based on (mu) and (theta).
b) Give a numerical value for (mu) and (theta) so that m2/m1 > 1
c) Give a numerical value for (mu) and (theta) so that m2/m1 < 1
Fg2 = m2g
Fg1x = m1gsin(theta)
Ff = (mu)Fn
Fn = Fg2y
a = 0m/s2
Fnet = ma
g = 9.8 m/s2
Fnet = Fg2  Fg1x  Ff
0 = m2g  m1gsin(theta)  (mu)cos(theta)
m2g = m1gsin(theta) + (mu)cos(theta)
m2 = [m1gsin(theta) + (mu)cos(theta)] / g
My problem is that I don't understand how to give a numerical value for (mu) and (theta) so that m2/m1 > or < 1 without also determining the mass of either m1 or m2 since they are both a part of the general equation. Is it even possible without also giving a numerical value to one of the masses?? Any clarification is greatly appreciated.
b) Give a numerical value for (mu) and (theta) so that m2/m1 > 1
c) Give a numerical value for (mu) and (theta) so that m2/m1 < 1
Fg2 = m2g
Fg1x = m1gsin(theta)
Ff = (mu)Fn
Fn = Fg2y
a = 0m/s2
Fnet = ma
g = 9.8 m/s2
Fnet = Fg2  Fg1x  Ff
0 = m2g  m1gsin(theta)  (mu)cos(theta)
m2g = m1gsin(theta) + (mu)cos(theta)
m2 = [m1gsin(theta) + (mu)cos(theta)] / g
My problem is that I don't understand how to give a numerical value for (mu) and (theta) so that m2/m1 > or < 1 without also determining the mass of either m1 or m2 since they are both a part of the general equation. Is it even possible without also giving a numerical value to one of the masses?? Any clarification is greatly appreciated.
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