The figure shows a sign, fabricated from thin, uniform, flat, stainless-steel bars with a weight per unit length of 5 lb/in. A thin rod, AB, and a pin, C, keeps this sign up. a. Find the total weight of the sign and the location of the sign's center of gravity. b. Determine the force along the member AB and the support reactions at pin C that keep the sign in static equilibrium. Also identify if AB is in tension or compression. 10 in 10 in 3 in 8 in A B 10 in 18 in

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The figure shows a sign, fabricated from thin, uniform, flat, stainless-steel bars with a weight per unit length of 5 lb/in. A thin rod, \( AB \), and a pin, \( C \), keep this sign up.

**Tasks:**
- **(a)** Find the total weight of the sign and the location of the sign's center of gravity.
- **(b)** Determine the force along the member \( AB \) and the support reactions at pin \( C \) that keep the sign in static equilibrium. Also, identify if \( AB \) is in tension or compression.

**Diagram Explanation:**
- The sign is shown hanging on a wall. It consists of a semi-circular shape with a radius of 10 in and a linear segment 18 in long.
- The sign is supported by the thin rod \( AB \), which is 8 in from the vertical support.
- Pin \( C \) is located 3 in from the bottom of the sign.
- The vertical support is 20 in high, divided into two 10 in segments.
Transcribed Image Text:The figure shows a sign, fabricated from thin, uniform, flat, stainless-steel bars with a weight per unit length of 5 lb/in. A thin rod, \( AB \), and a pin, \( C \), keep this sign up. **Tasks:** - **(a)** Find the total weight of the sign and the location of the sign's center of gravity. - **(b)** Determine the force along the member \( AB \) and the support reactions at pin \( C \) that keep the sign in static equilibrium. Also, identify if \( AB \) is in tension or compression. **Diagram Explanation:** - The sign is shown hanging on a wall. It consists of a semi-circular shape with a radius of 10 in and a linear segment 18 in long. - The sign is supported by the thin rod \( AB \), which is 8 in from the vertical support. - Pin \( C \) is located 3 in from the bottom of the sign. - The vertical support is 20 in high, divided into two 10 in segments.
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