PROBLEM 2: The crank shown is free to rotate at B about the x-axis only. Given the following dimensions: X₁ = 54 cm X₂ = 26 cm Y₁ = 75 cm Z₁ = 30 cm X1 A 100-N force is applied at A with the following spatial angles: From positive x-axis: a = 65° From positive y-axis: B = 120⁰ It is known that the angle from positive z-axis is obtuse, 90° ≤ y ≤ 180⁰ 1. Determine the moment about B due to the applied force at A (in vector component form) 2. Determine the component of the force along line AB. 3. Find the angle between the force applied and its component along line AB.

PROBLEM 2: The crank shown is free to rotate at B about the x-axis only. Given the following dimensions: X₁ = 54 cm X₂ = 26 cm Y₁ = 75 cm Z₁ = 30 cm X1 A 100-N force is applied at A with the following spatial angles: From positive x-axis: a = 65° From positive y-axis: B = 120⁰ It is known that the angle from positive z-axis is obtuse, 90° ≤ y ≤ 180⁰ 1. Determine the moment about B due to the applied force at A (in vector component form) 2. Determine the component of the force along line AB. 3. Find the angle between the force applied and its component along line AB.

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

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

PROBLEM 2: The crank shown is free to rotate at B about the x-axis only. Given the following
dimensions:
y
X₁ = 54 cm
X₂ = 26 cm
Y₁ = 75 cm
Z₁ = 30 cm
Z
B
Y₁
X₂
Z₁
A 100-N force is applied at A with the following spatial angles:
From positive x-axis: a = 65⁰°
From positive y-axis: B = 120⁰
It is known that the angle from positive z-axis is obtuse, 90° ≤ y ≤ 180⁰
1. Determine the moment about B due to the applied force at A (in vector component form)
2. Determine the component of the force along line AB.
3. Find the angle between the force applied and its component along line AB.
"

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