1. A machine component is subjected to four forces and a couple shown below. (1) Replace the current system with an equivalent force-couple system at point O. (2) The machine component is to be held in place by a single rivet that can resist a force but not a couple. Determine the location of the rivet hole if it is to be located on line AO. y 2 m 60 N to 5 m 50 N 45° 140 N m 2 m 80 N 2 m 40 N 1 m 30° - x
1. A machine component is subjected to four forces and a couple shown below. (1) Replace the current system with an equivalent force-couple system at point O. (2) The machine component is to be held in place by a single rivet that can resist a force but not a couple. Determine the location of the rivet hole if it is to be located on line AO. y 2 m 60 N to 5 m 50 N 45° 140 N m 2 m 80 N 2 m 40 N 1 m 30° - x
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:**Machine Component Forces and Couples Analysis**
**Problem Statement:**
A machine component is subjected to four forces and a couple. Analyze the system as follows:
1. Replace the current system with an equivalent force-couple system at point O.
2. The machine component is to be held in place by a single rivet that can resist a force but not a couple. Determine the location of the rivet hole if it is to be located on line AO.
**Diagram Explanation:**
- The diagram illustrates a machine component in blue with four applied forces and a couple.
- Forces include:
- 60 N force at a 45° angle upwards to the left, 2 meters from the top.
- 50 N force acting directly downward, located 5 meters from point O.
- 40 N force acting horizontally to the left, positioned 1 meter from the bottom.
- 80 N force at a 30° angle upwards to the right, from point O.
- The 140 N·m couple is applied clockwise around point O.
- Key points are labeled as A and O, with dimensions given to find the equivalent force-couple system and optimal placement of a rivet hole on line AO.
The diagram and problem statement provide all necessary data to perform static analysis and determine the rivet's location based on equilibrium conditions.
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