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Apr 4, 2024 · Continuity (or concept of continuous function) is used in optimization problems for finding maximum and minimum values of the function to experience a smooth change of state. Signal processing has a wide variety of applications which require continuous functions such as analysing and manipulating signals in audio processing and image processing.
Nov 7, 2024 · Moment is the product of the force you apply and the distance from the pivot point (in this case, the door hinges). By applying force away from the hinges, we increase this distance and, as a result, the moment also increases. This means that with the same amount of force, we get a greater effect when opening the door.
Jul 27, 2023 · Exercise 1: Moment of a force perpendicular to the axis of rotation. Suppose we have a door that rotates around its hinges, and we apply a force of 20 newtons in the direction perpendicular to the axis of rotation, at a distance of 0.5 meters from the axis of rotation to the point of application of the force. Calculate the moment of force.
- Gun and Bullet Mechanism
- Inflated Balloon
- Newton’s Cradle
- Collision of Two Objects
- Billiards and Snooker
- Bowling
- Rocket
- Firecrackers
- Rotation of The Earth
- Spinning An Object
The bullet firing mechanism of a gun tends to form a prominent example of conservation of momentum in real life. When the trigger of the gun is pulled, the internal mechanism of the gun gets activated and a bullet gets fired in the forwarding direction. The velocity of the bullet builds up as it advances forward. This proportionally increases the m...
An inflated balloon is yet another example of the objects present in our surroundings that demonstrate the law of conservation of momentum. When a balloon that is properly inflated with air is released into the environment, the air molecules present inside its structure begin to rapidly move outwards into the surroundings. The rapid movement of the...
A Newton’s cradle is one of the best examples of real-life objects that help easily demonstrate the law of conservation of momentum as well as the law of conservation of energy in real life. A Newton’s cradle is generally considered to be a physics toy, a piece of experimental equipment, or a decorative item. It typically consists of a wooden or a ...
One can easily understand the law of conservation of momentum by observing the complete process of collision of two objects moving with their respective velocities towards each other. For this purpose, suppose the two objects, say two balls having masses m1 and m2 move towards each other with velocities v1 and v2 respectively. The two objects or ba...
Billiards and snooker games tend to form yet another example of the applications that help easily demonstrate the law of conservation of momentum in real life. Both, billiards and snooker games appear to be similar as they are played on a similar type of game set-up; however, the difference between the two games is that billiards is played on a gam...
Bowling is yet another game that helps a person easily comprehend the concept of the law of conservation of momentum in real life. Bowling is basically a target sport that aims at rolling a heavy metallic ball down the playing lane in the direction of an orderly arranged stack of pins so as to knock out as many pins as possible to the ground. When ...
A rocket is a spacecraft or an aircraft vehicle that typically makes use of thrust generated by the rocket engine for its flight. A rocket is generally launched into outer space and is used for various scientific research and development applications. The fuel used by the rockets typically includes liquid hydrogen, liquid oxygen, hydrogen peroxide,...
Firecrackers are basically toys that contain different harmless yet dangerous chemical substances that get triggered due to a change in the temperature or pressure value or application of a mechanical force. Most of the firecrackers lead to the formation of colourful creative light patterns in the surroundings. The colour of the light particles emi...
The rotation of the earth is a classic example of the law of conservation of angular momentum as evidently, the earth is rotating along its axis since the formation of the solar system. To date, the rotation of the earth has not been affected by any external torsion force or torque, which means the angular momentum of the earth is still conserved a...
Spinning a plate or a ball on a finger or a stick is yet another example of the application of the law of conservation of angular momentum in real life. This is because in this case the object keeps spinning or maintains its state of continuous rotatory motion along its axis till it gets affected by an external force such as air resistance or drag,...
- Chitra Sharma
- Objects Hanging on the wall. A hanging object on a wall experiences a number of forces acting on it. For example, the force of gravitation, the force of friction, the force of reaction, and the force due to push.
- Objects Floating in Water. Any object floating in water experiences a downward force called the force of gravitation and an upward force called the upthrust.
- Tug of War. In a tug of war competition, if both the teams pull the rope towards their side with the same intensity of force, neither of them would be able to win the competition.
- Objects Placed on a Table. While placing an object on a table or any rigid surface, the force of gravitation comes into play. This gravitational force is accountable to pull any object towards the earth’s center.
The moment of a force or torque, r is defined as the turning effect of the force about a pivot and is the product of the force (F) and the perpendicular distance (d) from the line of action of the force to the pivot. SI unit of moment of a force is Newton-metre (Nm). It is a vector quantity. Its direction is given by the right-hand grip rule ...
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Definition: Conservative Force. The work done by a conservative force is independent of the path; in other words, the work done by a conservative force is the same for any path connecting two points: WAB, path − 1 = ∫AB, path − 1→Fcons ⋅ d→r = WAB, path − 2 = ∫AB, path − 2→Fcons ⋅ d→r. The work done by a non-conservative ...
