Show work. The most detailed answer gets the points. In the figure below, a box

Question

Show work.

The most detailed answer gets the points.

In the figure below, a box of ant aunts (total mass m1 = 2.10 kg) and a box of ant uncles (total mass m2 = 3.60 kg) slide down an inclined plane while attached by a massless rod parallel to the plane. The angle of incline is theta = 30degree . The coefficient of kinetic friction between the aunt box and the incline is mu 1 = 0.226. The coefficient of kinetic friction between the uncle box and the incline is mu2 = 0.113. Compute the tension in the rod. Compute the common acceleration of the two masses. How would the answers to (a) and (b) change if m2 trailed m1?

Explanation / Answer

for m2
m2g sintheta - T - u2 m2 g cos theta = m2 a

for m1
m1g sin theta + T - u1 m1 g cos hteta = m1 a

add equations

(m1 +m2)g sin theta - (u1 m1 + u2 m2) g cos theta = (m1 + m2) a

4.7*9.81*sin(30 degrees) - (0.226*2.1 + 0.113*3.6)*9.81*cos(30 degrees) = 4.7*a
a=3.31 m/s^2

plug into equaion 1

m1g sin theta + T - u1 m1 g cos hteta = m1 a
2.1*9.81*sin(30) + T - 0.226*2.1*9.81*cos(30) = 2.1*3.31
T=0.683

c) T would flip direction i.e. sign

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