o masses, mi and m2 are connected by a com has a Frictional Force, Ff, and an ac

Question

o masses, mi and m2 are connected by a com has a Frictional Force, Ff, and an acceleration, a. The pulley is frictionless and the rope is massless. Mass m1 is able to move to the right and Mass m2 is able to move downward. (45 pts) Draw the Free Body Diagrams for m and m2 (with the correct signs for the forces) 2. Tw mon rope with Tension, T, and the system * Solve for a, the system acceleration, in terms of m1, m2, Ff, and g. · Solve for a in terms of m2 , and g, when m1-m2. Solve for a in terms of m2. E, and g, when m2 = 0. Solve for a in terms of m2 Fi, and g, when mi 0. m1 m2

Explanation / Answer

a) let acceleration of system is "a"

so m2*g - T = m2*a  

and T - Ff = m1*a

=> m2*g - Ff - m1*a = m2*a

=> a = (m2*g - Ff)/(m1+m2)

b) when m1 = m2

=> a = (m2*g - Ff)/(2*m2)

c) when m2 = 0

=> a = -Ff/m1

d) when m1 = 0 => Ff = 0

=> a = (m2*g - 0)/m2 = g  

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