A slowly moving conveyor belt passes through a small opening in a wall which is high enough to accommodate a single package, but a reckless worker stacks two packages on the belt. The one at the bottom, package 1 which has mass m1m1, continues, without slipping against the belt, through the opening. (The belt continues without slowing.) The one on the the top, package 2 with mass m2m2, presses firmly against the wall and slips across the lower package. The same coefficients of friction, μsμs and μkμk, apply between the pair of packages and between the package and the belt. Weights, if required, will be denoted with the corresponding subscript of the package as F⃗ g,iF→g,i, for i=1,2i=1,2. The normal force exerted by object aa on object bb, if required, will be denoted as F⃗ n,a→bF→n,a→b for a,b∈{1,2,belt,wall}a,b∈{1,2,belt,wall}, but a≠ba≠b. The force of kinetic friction exerted by object aa on object bb, if required, will be denoted as F⃗ k,a→bF→k,a→b for a,b∈{1,2,belt,wall}a,b∈{1,2,belt,wall}, but a≠ba≠b. The force of static friction exerted by object aa on object bb, if required, will be denoted as F⃗ s,a→bF→s,a→b for a,b∈{1,2,belt,wall}a,b∈{1,2,belt,wall}, but a≠ba≠b. Please apply the interface below to construct your free body diagram for the package that is on the bottom at the moment just after it has started to pass through the opening. Refer to the problem statement with regard to notation.
A slowly moving conveyor belt passes through a small opening in a wall which is high enough to accommodate a single package, but a reckless worker stacks two packages on the belt. The one at the bottom, package 1 which has mass m1m1, continues, without slipping against the belt, through the opening. (The belt continues without slowing.) The one on the the top, package 2 with mass m2m2, presses firmly against the wall and slips across the lower package. The same coefficients of friction, μsμs and μkμk, apply between the pair of packages and between the package and the belt.
- Weights, if required, will be denoted with the corresponding subscript of the package as F⃗ g,iF→g,i, for i=1,2i=1,2.
- The normal force exerted by object aa on object bb, if required, will be denoted as F⃗ n,a→bF→n,a→b for a,b∈{1,2,belt,wall}a,b∈{1,2,belt,wall}, but a≠ba≠b.
- The force of kinetic friction exerted by object aa on object bb, if required, will be denoted as F⃗ k,a→bF→k,a→b for a,b∈{1,2,belt,wall}a,b∈{1,2,belt,wall}, but a≠ba≠b.
- The force of static friction exerted by object aa on object bb, if required, will be denoted as F⃗ s,a→bF→s,a→b for a,b∈{1,2,belt,wall}a,b∈{1,2,belt,wall}, but a≠ba≠b.
Please apply the interface below to construct your free body diagram for the package that is on the bottom at the moment just after it has started to pass through the opening. Refer to the problem statement with regard to notation.
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