a 10 Kg box on a level surface is attached by a weightless, unstretchable rope t

Question

a 10 Kg box on a level surface is attached by a weightless, unstretchable rope to a 7 kg box that rests on a 30 degree incline. The coefficient of kinetic friction between each box and the surface is 0.10 The system is released from rest and both onjects accelerate toward the right. Determine the rate of acceleration of the system and the tension in the rope that connects the boxes. a 10 Kg box on a level surface is attached by a weightless, unstretchable rope to a 7 kg box that rests on a 30 degree incline. The coefficient of kinetic friction between each box and the surface is 0.10 The system is released from rest and both onjects accelerate toward the right. Determine the rate of acceleration of the system and the tension in the rope that connects the boxes. a 10 Kg box on a level surface is attached by a weightless, unstretchable rope to a 7 kg box that rests on a 30 degree incline. The coefficient of kinetic friction between each box and the surface is 0.10 The system is released from rest and both onjects accelerate toward the right. Determine the rate of acceleration of the system and the tension in the rope that connects the boxes.

Explanation / Answer

The acceleration of the system

a=m2gsin30-um2gcos30-um1g/m1+m2=7gsin30-0.1(7)g cos30-0.1(10)g/10+7=0.1114(9.8)=1.092m/s2

Tension in the string =m1(u1g+a)=20.7 N

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