In the figure, a box of ant aunts (total mass m 1 = 1.52 kg) and a box of ant un

Question

In the figure, a box of ant aunts (total mass m1 = 1.52 kg) and a box of ant uncles (total mass m2 = 3.06 kg) slide down an inclined plane while attached by a massless rod parallel to the plane. The angle of incline is ? = 38

In the figure, a box of ant aunts (total mass m1 = 1.52 kg) and a box of ant uncles (total mass m2 = 3.06 kg) slide down an inclined plane while attached by a massless rod parallel to the plane. The angle of incline is ? = 38 degree . The coefficient of kinetic friction between the aunt box and the incline is ?1 = 0.249; that between the uncle box and the incline is ?2 = 0.124. Compute (a) the tension in the rod and (b) the common acceleration of the two boxes.

Explanation / Answer

N1 = mue*m1*g*cos38 ...............(1)


T+m1 g sin38 - mue 1*N1= m1 a

N2 = mue*m2*g*cos38

m2 g sin38 -(T+ mue2 *N2)= m2 a.............(2)

a = (m2 g sin38 - mue2 *N2++m1 g sin38 - mue1 *N1)/(m1+m2)

a = 4.76 m/s^2

T = 64.66 N

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