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MOMENTS
Moment of a force is a measure of its tendency to cause a body to turn or rotate about a specific point or axis. Simply put, moment is the turning effect of a force. In order for a moment to develop, the force must act upon the body in such a manner that the body would begin to twist.
It is the product of the force multiplied by the perpendicular distance from the line of action of the force to the pivot or point where the object will turn.
When undoing a nut fastened to a screw by hand one realises that the amount of force required is a lot greater than when undoing the same nut using a spanner. The spanner increases the distance between the fulcrum and the line of action of the force, thus for the same force a greater moment is obtained.
Principle Of Moments
The principle of moments states that when in equilibrium the total sum of the anti clockwise moment is equal to the total sum of the clockwise moment.
When a system is stable or balance it is said to be in equilibrium as all the forces acting on the system cancel each other out.
In equilibrium
Total Anticlockwise Moment = Total Clockwise Moment
This principle can be explained by considering two people on a seesaw.
Moments Acting On A Seesaw
Both people exert a downward force on the seesaw due to their weights.
Person A’s weight is trying to turn the seesaw anticlockwise whilst person B’s weight is trying to turn the seesaw clockwise.
- Person A’s Moment = Force x perpendicular distance from fulcrum
- 1000 x 1 = 1000 Nm
- Person B’s Moment = Force x perpendicular distance from fulcrum
- 500 x 2 = 1000 Nm
- Persons A’s moment = Persons B’s Moment
Anticlockwise moment = Clockwise moment - Therefore seesaw is in equilibrium.
Statics
Statics is the branch of engineering mechanics that deals with the forces and their effects while the body is at rest condition.
Statics is concerned with the analysis of loads on an object that does not experience acceleration means it doesn’t move.
For Example, As we know
- F = m.a
- Where,
- F = Force
- m = Mass
- a = Acceleration
Now, if the acceleration is 0, then the force must be equal to zero, but if there is a force on the object then how can it be.
As we know from Newton’s third law, every force has an equal and opposite force, so it means that the sum of the forces must be 0.
Dynamics
Dynamics is the branch of physics that deals with force and its effect while the body is in motion.
Dynamics is concerned with the motion of bodies, when forces are applied to those bodies, they will move.
For Example, As we know
- F = m.a
Where,
- F = Force
- m = Mass
- a = Acceleration
Which deals with inertia, resistance to motion, acceleration, momentum, etc.
Dynamics can be divided into two types:
- Kinematics
- Kinetics
(a) Kinematics
It is the branch of dynamics that deals with the motion of the bodies that cause the motion of the bodies without considering the forces responsible for motion.
Statics Vs Dynamics
There are the following differences between statics and dynamics:
Statics |
Dynamics |
Statics deals with stationary objects such as buildings, bridges, towers, etc. |
Dynamics deals with things in motion such as moving cars, planes, trains, etc. |
A civil engineer deals with statics a lot more. They design buildings, bridges, roads, etc which do not move. In fact, in civil engineering, if something moves it is a failure! That is how failure is defined as a movement. |
A mechanical engineer deals with dynamics a lot more. They design machines, mechanisms, and things with moving parts such as levers, pulleys, etc. They want things to move and design them accordingly. |
It Deals with the forces and their effects while acting upon the bodies at rest. For example the body at rest and forces and effects acting on it. |
It deals with the forces and their effects while acting upon the bodies in motion. For example, any body moving and forces and effects acting on it. |