**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.*

Name: **Title: Moment of Inertia of a Foam Cut-Out Hammer****Description:**
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Description: **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 dens

Given data as below:To determine:Moment of Inertia of Hammer

Engineering

Mechanical Engineering

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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Topic Video

Question

**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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