Mechanical Equilibrium acloutier copyright 2011
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The document discusses key concepts in mechanical equilibrium including: 1) Static or dynamic equilibrium, where static equilibrium describes situations where the sum of the forces equals zero. 2) Potential energy (PE) and kinetic energy (KE), where PE is the stored energy of position in a system and KE is the energy of motion. 3) Vectors and scalars, where vectors represent quantities that have both magnitude and direction while scalars only have magnitude. 4) The parallelogram rule is used to determine the resultant, or combined effect, of two forces acting on an object by constructing a parallelogram with the forces as the sides.
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This document discusses basic principles of statics, which is the branch of mechanics dealing with stationary bodies under forces. It defines static equilibrium as when the sum of all forces and moments equals zero. It also discusses concepts such as static determinacy, types of forces including vectors and their addition, resolution of forces, concurrent forces, and free-body diagrams. Examples are provided to demonstrate how to determine reactions and tensions using these principles.
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1. Engineering mechanics deals with the behavior of physical bodies under the action of forces or displacements. It examines topics such as statics, dynamics, solid and fluid mechanics using principles from Newtonian physics.
2. Statics analyzes bodies at rest or in constant motion, while dynamics considers bodies in motion and the forces involved in causing and changing that motion. Rigid body mechanics examines both topics for systems that do not deform under loading.
3. Fundamental concepts in mechanics include length, time, mass, and force. Newton's laws of motion describe how forces affect motion. Moments represent the tendency of forces to cause rotation and are important in mechanics of rigid bodies.
Basic Principles of Statics
The document discusses basic principles of statics and structural design. It covers:
1) Statics deals with forces on bodies at rest, while dynamics deals with moving bodies. Statics is used to analyze structural systems and ensure strength, stiffness, and stability.
2) Structural design involves preliminary design stages using experience and intuition, followed by detailed analysis and load estimations based on statics principles.
3) Static equilibrium equations must be satisfied for coplanar forces. Systems can be determinate, allowing determination of specific unknowns, or indeterminate.
torque & couple.pptx
The document defines moment as the turning effect of a force about a point, and provides the mathematical formula for moment as M = P x l, where P is the force and l is the perpendicular distance to the point. It then explains Varignon's Principle of Moments, which states that the algebraic sum of moments of all forces about any point equals the moment of the resultant force about the same point. The document goes on to discuss parallel forces and couples, defining a couple as two equal and parallel forces acting in opposite directions, and provides examples of couples in real life. It compares torque and moment to a couple. Finally, it provides example problems calculating resultants and moments.
Unit 1 sem one-SI UNITS AND STATICS
This document discusses fundamental concepts in engineering physics including SI units, statics, vectors, forces, moments, and couples. It defines scalar and vector quantities, explains the parallelogram law of forces and Lami's theorem for resolving forces. Examples are also provided to illustrate concepts like finding the resultant of two forces and calculating torque.
MECHANICS OF SOLID
This document discusses coplanar non-concurrent forces and the conditions for equilibrium. It defines key concepts like moment, couple, equivalent couples, and Varignon's principle of moments. It also explains that for a body to be in equilibrium under coplanar non-concurrent forces, the net force components and net moment must all be zero. Specifically, the sum of moments about any point must equal the moment of the resultant force about that point.
moments couples and force couple systems by ahmad khan
To determine the resultant force acting at the top of the tower (point D), I would:
1. Resolve each cable force into its x and y components.
2. Use the parallelogram law of forces to combine the x-components of each cable force into a single x-component force. Do the same for the y-components.
3. The x and y component forces obtained from step 2 are the x and y components of the resultant force acting at D.
4. Use the Pythagorean theorem to determine the magnitude of the resultant force from its x and y components.
5. Use trigonometry to determine the direction of the resultant force relative to the x-axis
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Mechanical Equilibrium acloutier copyright 2011
- 1. Mechanical Equilibriumby Annie Cloutier 2011 copyright
- 2. The sum of the forces equals zero
- 4. Resultant is the sum of two or more vectors Vector is the arrow that represents the magnitude and direction of a quantity Force is an example of vector quantity TENSION is a push or pull Stretching is tension FORCE Gravity ‘s force is measured in newton’s as weight
- 5. Scalar Quantity is a quantity that can be described by magnitude only and has no direction Time Area Volume = scalar quantity
- 6. Parallelogram Rule parallelogram law n. a rule for finding the resultant of two vectors by constructing a parallelogram, each pair of parallel sides of which represents the magnitude to scale, and the direction and sense of the given vectors; its diagonal then represents the direction and magnitude of the resultant. A parallelogram of forces is a diagram in which the combined effect of two forces acting on the same body is determined using this rule. For example, if the two forces are represented by the vectors and in the figure below, then their resultant, to the same scale, is , where R completes the parallelogram.
- 7. Some students demonstrategravity’s effect on a rope
- 9. One weight of 1 - 2 newtons
- 10. *newton = N
- 12. Future physics’ student thinking about hanging vectors, the force of gravity ,the parallelogram rule and resultants
- 13. the end