The 10-kg uniform rod is pinned at end A. If it is also subjected to a couple moment of 50 N · m, determine the smallest angle 0 for equilibrium. The spring is unstretched when 0 =0, and has a stiffness of k =60 N/m.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Draw the free body diagram of the rod.
F.
spring
k = 60 N/m
2 m
-0.5 m
mg
50 N m
A,
Apply moment equilibrium about point A.
EM = 0;
-50 – mg
L.
sine +F.
Lcos0 = 0
spring
7.
-50 – mgsine +(k8)Lcose = 0
-50 – mgsine+(kLsine)Lcose = 0
KL sin Ocos e
mg sin e = 50
2
60(2)' sin O cos0-
(10)(9.81) sine = 50
2
%3D
240 sin O cos e– 98.1sin e = 50
120 sin 20 - 98.1sine = 50
Transcribed Image Text:Draw the free body diagram of the rod. F. spring k = 60 N/m 2 m -0.5 m mg 50 N m A, Apply moment equilibrium about point A. EM = 0; -50 – mg L. sine +F. Lcos0 = 0 spring 7. -50 – mgsine +(k8)Lcose = 0 -50 – mgsine+(kLsine)Lcose = 0 KL sin Ocos e mg sin e = 50 2 60(2)' sin O cos0- (10)(9.81) sine = 50 2 %3D 240 sin O cos e– 98.1sin e = 50 120 sin 20 - 98.1sine = 50
5)
*5-44.
The 10-kg uniform rod is pinned at end A. If it is also
subjected to a couple moment of 50 N m, determine the
smallest angle 0 for equilibrium. The spring is unstretched
when 0 =0, and has a stiffness of k=60 N/m.
B
k = 60 N/m
2 m
0.5 m-
50 N · m
Transcribed Image Text:5) *5-44. The 10-kg uniform rod is pinned at end A. If it is also subjected to a couple moment of 50 N m, determine the smallest angle 0 for equilibrium. The spring is unstretched when 0 =0, and has a stiffness of k=60 N/m. B k = 60 N/m 2 m 0.5 m- 50 N · m
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