**Problem Statement:**The center of the 200-lb wheel with \( k_G = 4 \) in. is released from rest at the position shown. Find the normal reaction force under the wheel as it rolls without slipping past position \( A \).While you could do it for any problem, here and anytime you are asked about forces of dynamic systems, you need a FBD and KD. Here, you need to draw it when the wheel is at position \( A \).**Diagram Explanation:**The diagram illustrates the problem with a wheel positioned on an inclined curved path. The key details are:- The wheel has a radius of 6 inches.- The center of mass of the wheel is marked, and it serves as the pivot for the problem.- The path includes a 30-degree incline with a line showing the 24-inch height of the incline.- There is a horizontal distance of 12 inches from point \( A \) to where the incline starts.- The incline and curve of the path are important for calculating the rolling motion and forces.The task involves using physics principles related to dynamics, particularly the dynamics of rolling motion without slipping, to find the normal reaction force at position \( A \) when the wheel rolls over it.**Steps:**1. Draw the Free Body Diagram (FBD) to represent all forces acting on the wheel.2. Use the equations of motion and kinematics (KD) for rolling motion to solve for the normal reaction force.This educational content helps students understand dynamic systems and the application of forces and motion in physical scenarios.

According to the conservation of energy, the total energy of an isolated system remains constant…

- he center of the 200-lb wheel with kg = 4 in. is released from st at the position shown. Find the normal reaction force under e wheel as it rolls without slipping past position A. While you could do it for any problem, here and anytime you are asked about forces of dynamic systems, you need a FBD and KD. Here, you need to draw it when the wheel is at position A. 30° 24"

- he center of the 200-lb wheel with kg = 4 in. is released from st at the position shown. Find the normal reaction force under e wheel as it rolls without slipping past position A. While you could do it for any problem, here and anytime you are asked about forces of dynamic systems, you need a FBD and KD. Here, you need to draw it when the wheel is at position A. 30° 24"

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Frames

The trusses and frames are the two most important structural members of civil engineering. Trusses are the interconnection of links and other structural members. The interconnection with other members makes the system behave as a single member that supports and transfers loads. Trusses are generally two types, plane truss, and space truss. Frames on the other hand form the skeleton of any building construction. Frames are structures formed by the connection of beams, columns, slabs, and joists. These members provide the building with the required structural support.

Question

**Problem Statement:**

The center of the 200-lb wheel with \( k_G = 4 \) in. is released from rest at the position shown. Find the normal reaction force under the wheel as it rolls without slipping past position \( A \).

While you could do it for any problem, here and anytime you are asked about forces of dynamic systems, you need a FBD and KD. Here, you need to draw it when the wheel is at position \( A \).

**Diagram Explanation:**

The diagram illustrates the problem with a wheel positioned on an inclined curved path. The key details are:

- The wheel has a radius of 6 inches.
- The center of mass of the wheel is marked, and it serves as the pivot for the problem.
- The path includes a 30-degree incline with a line showing the 24-inch height of the incline.
- There is a horizontal distance of 12 inches from point \( A \) to where the incline starts.
- The incline and curve of the path are important for calculating the rolling motion and forces.

The task involves using physics principles related to dynamics, particularly the dynamics of rolling motion without slipping, to find the normal reaction force at position \( A \) when the wheel rolls over it.

**Steps:**

1. Draw the Free Body Diagram (FBD) to represent all forces acting on the wheel.
2. Use the equations of motion and kinematics (KD) for rolling motion to solve for the normal reaction force.

This educational content helps students understand dynamic systems and the application of forces and motion in physical scenarios.

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