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Q3 - The uniform bar OC of length L and mass ( m ) pivots freely about a horizontal axis through O. If the spring of modulus k is unstretched when C is coincident with A, determine the tension T required to hold the bar in the position shown. The diameter of the small pulley is negligible. D| T D L/2 45° B 30 L/2 mg A wwwww

Q3 - The uniform bar OC of length L and mass ( m ) pivots freely about a horizontal axis through O. If the spring of modulus k is unstretched when C is coincident with A, determine the tension T required to hold the bar in the position shown. The diameter of the small pulley is negligible. D| T D L/2 45° B 30 L/2 mg A wwwww

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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Q3 - The uniform bar OC of length L and mass ( m ) pivots freely about a horizontal axis through O. If the spring of modulus k is unstretched when C is coincident with A, determine the tension T required to hold the bar in the position shown. The diameter of the small pulley at D is negligible. T L/2 45° 30° B L/2 mg A www
Transcribed Image Text:Q3 - The uniform bar OC of length L and mass ( m ) pivots freely about a horizontal axis through O. If the spring of modulus k is unstretched when C is coincident with A, determine the tension T required to hold the bar in the position shown. The diameter of the small pulley at D is negligible. T L/2 45° 30° B L/2 mg A www
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What is the meaning behind L2? And where would it be on the force body diagram

**Question:** The uniform bar OC of length \( l \) and mass \( m \) pivots freely about a horizontal axis through O. If the spring of modulus \( k \) is unstrained when \( C \) coincides with \( A \), determine the torque \( \tau \) required to hold the bar in the position shown. The diameter of the semicircle at \( D \) is negligible. **Explanation:** The image includes a diagram depicting a mechanical system with the following elements: 1. **Bar OC**: A bar of length \( l \) and mass \( m \) is pivoting about a horizontal axis at point \( O \). 2. **Spring**: A spring with modulus \( k \) is shown connected at point \( C \). The spring is unstrained when point \( C \) coincides with point \( A \). 3. **Forces and Angles**: - The angle between the bar OC and the vertical is indicated. - A force \( F \) is applied horizontally at point \( C \). 4. **Geometry**: - The geometry involves the bar OC making a certain angle with another component drawn vertically. - Point \( D \) shows a semicircle whose diameter is stated to be negligible, indicating it doesn’t significantly affect the torque calculation. The problem requires calculating the torque needed to maintain the bar in its current position, taking into account the unstrained position of the spring and the negligible diameter of the semicircle at \( D \).
Transcribed Image Text:**Question:** The uniform bar OC of length \( l \) and mass \( m \) pivots freely about a horizontal axis through O. If the spring of modulus \( k \) is unstrained when \( C \) coincides with \( A \), determine the torque \( \tau \) required to hold the bar in the position shown. The diameter of the semicircle at \( D \) is negligible. **Explanation:** The image includes a diagram depicting a mechanical system with the following elements: 1. **Bar OC**: A bar of length \( l \) and mass \( m \) is pivoting about a horizontal axis at point \( O \). 2. **Spring**: A spring with modulus \( k \) is shown connected at point \( C \). The spring is unstrained when point \( C \) coincides with point \( A \). 3. **Forces and Angles**: - The angle between the bar OC and the vertical is indicated. - A force \( F \) is applied horizontally at point \( C \). 4. **Geometry**: - The geometry involves the bar OC making a certain angle with another component drawn vertically. - Point \( D \) shows a semicircle whose diameter is stated to be negligible, indicating it doesn’t significantly affect the torque calculation. The problem requires calculating the torque needed to maintain the bar in its current position, taking into account the unstrained position of the spring and the negligible diameter of the semicircle at \( D \).
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