
#1
Mar2906, 10:48 PM

P: 6

Block 1, of mass m1, is connected over an ideal (massless and frictionless) pulley to block 2, of mass m2, as shown. Assume that the blocks accelerate as shown with an acceleration of magnitude a and that the coefficient of kinetic friction between block 2 and the plane is mu.
Find the ratio of the masses m1/m2. 



#2
Mar2906, 11:00 PM

P: 3

Let the tension in the thread be T. ok. now eq of motion of the 2 masses are...
(m1)g  T = (m1)a T  (m2)gsin(theta)  (mu)(m2)gcos(theta) = (m2)a Solving them by addng the two eqns u get, m1/m2 = (g(sin(theta) + (mu)cos(theta)))/(g  a) 



#3
Mar2906, 11:07 PM

P: 6

Thanks rammstein, but after inputting m1/m2, I get "aren't you missing a term?" Thanks a bunch for the help though!




#4
Mar3006, 06:21 AM

P: 335

Two Masses, a Pulley, and an Inclined PlaneDan 



#5
Apr206, 10:28 PM

P: 6

I tried setting the two equations equal to each other through T, but was unable to discover the missing term...




#6
Apr306, 07:15 AM

P: 335

[tex](m_1gm_1a)m_2gsin \theta\mu m_2gcos \theta=m_2a[/tex] [tex]m_1gm_1a=m_2gsin \theta+\mu m_2gcos \theta+m_2a[/tex] [tex]m_1(ga)=m_2(gsin \theta+\mu gcos \theta+a)[/tex] [tex]\frac{m1}{m2}=\frac{gsin \theta+\mu gcos \theta+a}{ga}[/tex] rammstein left out the last "a" in the numerator. Dan 


Register to reply 
Related Discussions  
Two Masses, a Pulley, and an Inclined Plane  Introductory Physics Homework  13  
inclined plane pulley, help ASAP  Introductory Physics Homework  39  
Two masses on an inclined plane with a massless pulley  Introductory Physics Homework  3  
pulley with 3 masses  Introductory Physics Homework  2  
2 Masses, Friction, Inclined Plane, Pulley problem  Introductory Physics Homework  2 