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h a = 0.9 on. NA 3049.74 dA NB 1855.26 .G Determine normal forces at A and B. You are forced to pull a group of kindergarteners in a cart. You apply a horizontal force of F = 450 N. The cart has a total mass of m= 500 kg with a center of mass at G. Assume the wheels have negligible mass, negligible size (r) and no rolling resistance. dA=0.73 m and dg = 1.2 m. You apply the horizontal force at a height y = 0.4 m from the ground. The center of gravity G is located at a height h = 1.2 m from the ground. Determine acceleration of the cart m XN XN da B y UBC Engineering

h a = 0.9 on. NA 3049.74 dA NB 1855.26 .G Determine normal forces at A and B. You are forced to pull a group of kindergarteners in a cart. You apply a horizontal force of F = 450 N. The cart has a total mass of m= 500 kg with a center of mass at G. Assume the wheels have negligible mass, negligible size (r) and no rolling resistance. dA=0.73 m and dg = 1.2 m. You apply the horizontal force at a height y = 0.4 m from the ground. The center of gravity G is located at a height h = 1.2 m from the ground. Determine acceleration of the cart m XN XN da B y UBC Engineering

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
Problem 1.1MA
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### Physics Problem: Pulling a Cart of Kindergarteners **Problem Statement:** You are forced to pull a group of kindergarteners in a cart. You apply a horizontal force of \( F = 450 \, \text{N} \). The cart has a total mass of \( m = 500 \, \text{kg} \) with a center of mass at \( G \). Assume the wheels have negligible mass, negligible size (\( r \)) and no rolling resistance. The distances are given by \( d_A = 0.73 \, \text{m} \) and \( d_B = 1.2 \, \text{m} \). You apply the horizontal force at a height \( y = 0.4 \, \text{m} \) from the ground. The center of gravity \( G \) is located at a height \( h = 1.2 \, \text{m} \) from the ground. **Given Data:** - Horizontal force: \( F = 450 \, \text{N} \) - Mass of the cart: \( m = 500 \, \text{kg} \) - Distance from A to center of mass \( G \): \( d_A = 0.73 \, \text{m} \) - Distance from B to center of mass \( G \): \( d_B = 1.2 \, \text{m} \) - Height from application of force \( F \) to the ground: \( y = 0.4 \, \text{m} \) - Height of center of gravity \( G \) from the ground: \( h = 1.2 \, \text{m} \) **Determine:** 1. **Acceleration of the Cart (a):** - \( a = 0.9 \, \frac{\text{m}}{\text{s}^2} \) 2. **Normal Forces at A and B ( \( N_A \) and \( N_B \)):** - \( N_A = 3049.74 \, \text{N} \) - \( N_B = 1855.26 \, \text{N} \) **Visual Explanation:** The diagram shows a cart being pulled by a person. The cart contains kindergarteners and has two wheels denoted as points A and B.
Transcribed Image Text:### Physics Problem: Pulling a Cart of Kindergarteners **Problem Statement:** You are forced to pull a group of kindergarteners in a cart. You apply a horizontal force of \( F = 450 \, \text{N} \). The cart has a total mass of \( m = 500 \, \text{kg} \) with a center of mass at \( G \). Assume the wheels have negligible mass, negligible size (\( r \)) and no rolling resistance. The distances are given by \( d_A = 0.73 \, \text{m} \) and \( d_B = 1.2 \, \text{m} \). You apply the horizontal force at a height \( y = 0.4 \, \text{m} \) from the ground. The center of gravity \( G \) is located at a height \( h = 1.2 \, \text{m} \) from the ground. **Given Data:** - Horizontal force: \( F = 450 \, \text{N} \) - Mass of the cart: \( m = 500 \, \text{kg} \) - Distance from A to center of mass \( G \): \( d_A = 0.73 \, \text{m} \) - Distance from B to center of mass \( G \): \( d_B = 1.2 \, \text{m} \) - Height from application of force \( F \) to the ground: \( y = 0.4 \, \text{m} \) - Height of center of gravity \( G \) from the ground: \( h = 1.2 \, \text{m} \) **Determine:** 1. **Acceleration of the Cart (a):** - \( a = 0.9 \, \frac{\text{m}}{\text{s}^2} \) 2. **Normal Forces at A and B ( \( N_A \) and \( N_B \)):** - \( N_A = 3049.74 \, \text{N} \) - \( N_B = 1855.26 \, \text{N} \) **Visual Explanation:** The diagram shows a cart being pulled by a person. The cart contains kindergarteners and has two wheels denoted as points A and B.
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