11. A worker pushes horizontally on a 35kg crate with a force of magnitude 110N.

Question

11. A worker pushes horizontally on a 35kg crate with a force of magnitude 110N. The coefficient of static friction between the crate  and the floor is 0.37. (a) what is the value of Fs,max under the circumstances? (b) Does the crate move? (c) what is the frictional force on the crate from the floor? (d) suppose, next, that a second worker pulls directly upward on the crate to help out. What is the least vertical pull that will allow the first worker's 110 N push to move the crate? (e) If, instead, the second worker pulls horizontally to help out, what is the least pull that will get the crate moving? 

Explanation / Answer

A worker pushes horizontally on a 35kg crate with a force ofmagnitude 110N. The coefficient of static friction between thecrate and the floor is 0.37. (a) what is the value of Fs,max under the circumstances? uN=.37*35*9.81=127.0395 (b) Does the crate move? 127.0395 is greater than 110 so NO (c) what is the frictional force on the crate from the floor? 110 (d) suppose, next, that a second worker pulls directly upward onthe crate to help out. What is the least vertical pull that willallow the first worker's 110 N push to move the crate? in order to move 110 must be the frictional force 110=(35*9.81-p).37 110/.37=343.35-p p=46.05N (e) If, instead, the second worker pulls horizontally to help out,what is the least pull that will get the crate moving? 127.0395-110=17.0395N

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