**Title: Understanding Motion through Free Body Diagrams****Introduction:**This educational material focuses on problem-solving using equations of motion. The approach outlined here is necessary for comprehending motion dynamics through free body diagrams (FBDs).**Key Concepts:**- **Equation of Motion:** Essential for solving this problem.- **Velocity and Acceleration:** Illustrated within the context and frame of reference.- **Forces on the System:** Visualized through a free body diagram (FBD).**Problem Description:**A force \( P \) is applied to a cart weighing 869 kg. The force acts at an angle \(\theta = 51^\circ\). The kinetic friction coefficient on the wheels is 0 (i.e., frictionless surface).**Diagram Explanation:**- **Cart Dimensions:** - Height to force application: 0.4 m - Distance from front wheels (A) to back wheels (B): 0.5 m - Height to center of gravity (G): 0.3 m- **Force Application:** - Angle of application: \(\theta = 51^\circ\)- **Distinctions:** - \( G \) represents the cart's center of gravity. - Points \( A \) and \( B \) denote the locations where the cart contacts the ground (wheels).**Given:**- Acceleration of the cart: \(1.2 \, \text{m/s}^2\)**Questions:**1. What is the magnitude of the force \( P \)?2. What are the reactions at points \( A \) and \( B \)?**Note:**Students are encouraged to solve these by showing calculations on their hand-written work and in the provided space. This exercise aids in reinforcing the understanding of forces and motion equilibrium.

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Fundamental.8 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy...) will be automatically considered false. For the problem related to Fundamental.8 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. A force P is applied at an angle 0 =51 to a 869-kg cart. The kinetic friction coefficient on wheels is 0. P 0 0.4 m 0.3 m 0.08 m The acceleration of the cart is 1.2 m.s2. G B 0.2 m 0.3 m 1. What is the magnitude of the force P (answer on your hand-written work and in the cell below)? 2. What are the reaction at A and B? 4

Fundamental.8 deals with the equation of motion. The use of the equation of motion to solve this problem is mandatory. Solution using other approaches (conservation of energy...) will be automatically considered false. For the problem related to Fundamental.8 sketches of the system showing: • the respective velocity and acceleration and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. A force P is applied at an angle 0 =51 to a 869-kg cart. The kinetic friction coefficient on wheels is 0. P 0 0.4 m 0.3 m 0.08 m The acceleration of the cart is 1.2 m.s2. G B 0.2 m 0.3 m 1. What is the magnitude of the force P (answer on your hand-written work and in the cell below)? 2. What are the reaction at A and B? 4

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Conservation of Energy

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Question

**Title: Understanding Motion through Free Body Diagrams**

**Introduction:**
This educational material focuses on problem-solving using equations of motion. The approach outlined here is necessary for comprehending motion dynamics through free body diagrams (FBDs).

**Key Concepts:**

- **Equation of Motion:** Essential for solving this problem.
- **Velocity and Acceleration:** Illustrated within the context and frame of reference.
- **Forces on the System:** Visualized through a free body diagram (FBD).

**Problem Description:**
A force \( P \) is applied to a cart weighing 869 kg. The force acts at an angle \(\theta = 51^\circ\). The kinetic friction coefficient on the wheels is 0 (i.e., frictionless surface).

**Diagram Explanation:**
- **Cart Dimensions:**
- Height to force application: 0.4 m
- Distance from front wheels (A) to back wheels (B): 0.5 m
- Height to center of gravity (G): 0.3 m
- **Force Application:**
- Angle of application: \(\theta = 51^\circ\)
- **Distinctions:**
- \( G \) represents the cart's center of gravity.
- Points \( A \) and \( B \) denote the locations where the cart contacts the ground (wheels).

**Given:**
- Acceleration of the cart: \(1.2 \, \text{m/s}^2\)

**Questions:**
1. What is the magnitude of the force \( P \)?
2. What are the reactions at points \( A \) and \( B \)?

**Note:**
Students are encouraged to solve these by showing calculations on their hand-written work and in the provided space. This exercise aids in reinforcing the understanding of forces and motion equilibrium.

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