Two blocks of masses m1 and m2 are sliding down an incline as shown below. They

Question

Two blocks of masses m1 and m2 are sliding down an incline as shown below. They are connected by a massless rod. The coefficients of kinetic friction between the block and the surface are mu1 for block 1 and mu2 for block 2. (Use any variable or symbol stated above along with the following as necessary: g and theta.) Determine the acceleration of the two blocks. a = Determine the force that the rod exerts on each of the two blocks. T = Show that these forces are both 0 when mu1 = mu2 and give a simple, nonmathematical argument why this is true. (Do this on paper. Your instructor may ask you to turn in this work.)

Explanation / Answer

a) (m1 + m2)gsin - 1m1gcos -2 m2gcos = (m1 + m2)a

a = [(m1 + m)sin - (1m1 + 2m2)cos]g/(m1+m2)

b) on m2 :

N + m2gsin - 2m2gcos = m2 x  [(m1 + m)sin - (1m1 + 2m2)cos]g/(m1+m2)

N = m2 [(m1 + m)sin - (1m1 + 2m2)cos]g/(m1+m2) - (m2sin - 2m2cos)g

on m1 :

N + m1gsin - 1m1gcos = m1 x  [(m1 + m)sin - (1m1 + 2m2)cos]g/(m1+m2)

N = m1 x  [(m1 + m)sin - (1m1 + 2m2)cos]g/(m1+m2) - (m1sin - 1m1cos)g

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