A kid excitedly swings his foam cut-out hammer. If point P acts like a pin and the hammer rotates about and a kg that point, what is the moment of inertia of the hammer? The foam has a density of p = 150 uniform thickness of t = 0.5 cm. Assume each cut-out is a rectangular plate and the foam acts as a rigid body. Plate A has a length 14 = 34 cm and width WA = 8 cm. Plate B has a length 1B = 8.5 cm and width wg = 30 cm. Plate C is identical to plate D, and has a length lc = 15 cm and width wo Plate C and D are attached to plate B such that their centers line up. Ip = 0.00758 x (kg) - m² 5 cm.
A kid excitedly swings his foam cut-out hammer. If point P acts like a pin and the hammer rotates about and a kg that point, what is the moment of inertia of the hammer? The foam has a density of p = 150 uniform thickness of t = 0.5 cm. Assume each cut-out is a rectangular plate and the foam acts as a rigid body. Plate A has a length 14 = 34 cm and width WA = 8 cm. Plate B has a length 1B = 8.5 cm and width wg = 30 cm. Plate C is identical to plate D, and has a length lc = 15 cm and width wo Plate C and D are attached to plate B such that their centers line up. Ip = 0.00758 x (kg) - m² 5 cm.
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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![**Title: Moment of Inertia of a Foam Cut-Out Hammer**
**Description:**
A kid excitedly swings his foam cut-out hammer. If point P acts like a pin and the hammer rotates about that point, what is the moment of inertia of the hammer? The foam has a density of \(\rho = 150 \ \frac{kg}{m^3}\) and a uniform thickness of \(t = 0.5 \ cm\). Assume each cut-out is a rectangular plate, and the foam acts as a rigid body.
### Diagram Explanation:
The diagram illustrates a foam hammer comprised of various rectangular plates labeled as A, B, C, and D. The hammer is held by a hand, with point P indicating the pivot point about which the hammer rotates.
- **Plate A** acts as the handle of the hammer with dimensions:
- Length \(l_A = 34 \ cm\)
- Width \(w_A = 8 \ cm\)
- **Plate B** forms the central part of the hammerhead and has dimensions:
- Length \(l_B = 8.5 \ cm\)
- Width \(w_B = 30 \ cm\)
- **Plate C and Plate D** are identical and form the ends of the hammerhead, both having dimensions:
- Length \(l_C = l_D = 15 \ cm\)
- Width \(w_C = w_D = 5 \ cm\)
*Note: Plate C and D are attached to Plate B such that their centers line up.*
### Parameters:
- **Density of Foam (\(\rho\)):** \(150 \ \frac{kg}{m^3}\)
- **Thickness of Plates (\(t\)):** \(0.5 \ cm\)
### Task:
Determine the moment of inertia (\(I_P\)) of the hammer as it rotates about point P.
### Calculation:
\[
I_P = 0.00758 \ (kg \cdot m^2)
\]
---
*Content provided by UBC Engineering under a Creative Commons License.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1720cd77-2294-45a6-8b70-43447dc02920%2Fa95da890-48b3-4b03-8b1f-cbff95a46f51%2Fct5rbrh_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Moment of Inertia of a Foam Cut-Out Hammer**
**Description:**
A kid excitedly swings his foam cut-out hammer. If point P acts like a pin and the hammer rotates about that point, what is the moment of inertia of the hammer? The foam has a density of \(\rho = 150 \ \frac{kg}{m^3}\) and a uniform thickness of \(t = 0.5 \ cm\). Assume each cut-out is a rectangular plate, and the foam acts as a rigid body.
### Diagram Explanation:
The diagram illustrates a foam hammer comprised of various rectangular plates labeled as A, B, C, and D. The hammer is held by a hand, with point P indicating the pivot point about which the hammer rotates.
- **Plate A** acts as the handle of the hammer with dimensions:
- Length \(l_A = 34 \ cm\)
- Width \(w_A = 8 \ cm\)
- **Plate B** forms the central part of the hammerhead and has dimensions:
- Length \(l_B = 8.5 \ cm\)
- Width \(w_B = 30 \ cm\)
- **Plate C and Plate D** are identical and form the ends of the hammerhead, both having dimensions:
- Length \(l_C = l_D = 15 \ cm\)
- Width \(w_C = w_D = 5 \ cm\)
*Note: Plate C and D are attached to Plate B such that their centers line up.*
### Parameters:
- **Density of Foam (\(\rho\)):** \(150 \ \frac{kg}{m^3}\)
- **Thickness of Plates (\(t\)):** \(0.5 \ cm\)
### Task:
Determine the moment of inertia (\(I_P\)) of the hammer as it rotates about point P.
### Calculation:
\[
I_P = 0.00758 \ (kg \cdot m^2)
\]
---
*Content provided by UBC Engineering under a Creative Commons License.*
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