2) Orthogonal Cutting: Consider a person who is shoveling snow from the sidewalk. This person can choose between two different shovel designs. Shovel A rides at a 5°angle off the normal to the sidewalk, while shovel B is oriented at a 30° angle (from the normal to the sidewalk). Either way, two inches of snow will be removed. Which shovel will require less pushing force? Please write your answer as the ratio of the force for shovel A to the force for shovel B. Assume the friction between the snow and the shovel is 1.0. Both shovels are the same width (into the page). The thickness of the removed snow riding up the face of the shovel is as shown in the figures. In both cases, the snow has the same physical properties (strength, stiffness, etc.). 2 in snow 3 in ground Shovel A 5 degrees shovel Pushing force 2 in snow ground 30 degrees /2.75 in Shovel B shovel Pushing force

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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2) Orthogonal Cutting: Consider a person who is shoveling snow from the sidewalk. This person can
choose between two different shovel designs. Shovel A rides at a 5°angle off the normal to the
sidewalk, while shovel B is oriented at a 30° angle (from the normal to the sidewalk). Either way, two
inches of snow will be removed.
Which shovel will require less pushing force? Please write your answer as the ratio of the force for
shovel A to the force for shovel B. Assume the friction between the snow and the shovel is 1.0. Both
shovels are the same width (into the page). The thickness of the removed snow riding up the face of
the shovel is as shown in the figures. In both cases, the snow has the same physical properties
(strength, stiffness, etc.).
2 in
snow
3 in
ground
Shovel A
5 degrees
shovel
Pushing force
2 in
snow
ground
30 degrees
/2.75 in shovel
Shovel B
Pushing force
Transcribed Image Text:2) Orthogonal Cutting: Consider a person who is shoveling snow from the sidewalk. This person can choose between two different shovel designs. Shovel A rides at a 5°angle off the normal to the sidewalk, while shovel B is oriented at a 30° angle (from the normal to the sidewalk). Either way, two inches of snow will be removed. Which shovel will require less pushing force? Please write your answer as the ratio of the force for shovel A to the force for shovel B. Assume the friction between the snow and the shovel is 1.0. Both shovels are the same width (into the page). The thickness of the removed snow riding up the face of the shovel is as shown in the figures. In both cases, the snow has the same physical properties (strength, stiffness, etc.). 2 in snow 3 in ground Shovel A 5 degrees shovel Pushing force 2 in snow ground 30 degrees /2.75 in shovel Shovel B Pushing force
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