Problem: 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 e for equilibrium. The spring is unstretched when 0=0, and has a stiffness of k=60 N/m. %3D For a k = 60 N/m 2 m -0.5 m 50 N m

Problem: 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 e for equilibrium. The spring is unstretched when 0=0, and has a stiffness of k=60 N/m. %3D For a k = 60 N/m 2 m -0.5 m 50 N m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

how do I get to 24.6 degrees from this last line of equation? Please show all work dont skip steps.

March 7,
2022
Assignment 6
Alfonso Serna
Problem:
Mass
M
*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.
Couple Mome
ent = 5o Nim
Ma
Spring Konstant: 60N /m
For a
E Maz0
В
MaiO
k = 60 N/m
F $ = (60N/m) (2 sin@)
2 m
0.5 m-
= 120 si ne
50 N m
>. MazO
Ax
FD coso (2m)-w Sin o(im) -Ma=O
120 sincos2)-(10x9.81) sin o - 50-o
.(98.1) sine - J0-0
Find:
Given :
240 sine cose
+50
+ so
240'sin
dcoso)- 18.1(sin@)-
50
Solution: theta= 24.6 degrees

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