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For the position shown, the crankshaft of a small two-cylinder compressor is subjected to the 400 N and 800 N forces exerted by the connecting rods and the 200 N.m couple. 1. Replace this loading...

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For the position shown, the crankshaft of a small two-cylinder compressor is subjected to the 400 N and

800 N forces exerted by the connecting rods and the 200 N.m couple.

1. Replace this loading system by a force-couple system at point A.

2. Show that R is not perpendicular to MA. Then replace this force-couple system by a wrench.

3. Determine the magnitude M of the moment of the wrench, the magnitude of the force R of the wrench,

and the coordinates of the point in the x-z plane through which the line of action of the wrench passes.

Answered Same Day Dec 27, 2021

Solution

Robert answered on Dec 27 2021
131 Votes
GIVEN QUESTION:
For the position shown, the crankshaft of a small two-cylinder compressor is subjected to the
400 N and 800 N forces exerted by the connecting rods and the 200 N-m couple.
1. Replace this loading system by a force-couple system at point A.
2. Show that R is not perpendicular to MA. Then replace this force-couple system by a
wrench.
3. Determine the magnitude M of the moment of the wrench, the magnitude of the force
R of the wrench, and the coordinates of the point in the x-z plane through which the
line of action of the wrench passes.
SOLUTION:
Force vector of magnitude 400 N:  1 ˆ ˆ400 sin 24 cos 24F i j 
Force vector of magnitude 800 N:  2 ˆ ˆ800 sin 24 cos 24F i j  
Resultant force vector, R :
 ...
SOLUTION.PDF

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