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Relation between potential energy and stability of a body subjected to a conservative force : Example : A ball lying on a ﬂat horizontal surface is in neutral equilibrium, Fig.(c).Its potential energy is constant, i.e., not a function of position. (iii) Neutral equilibrium : A body is said to be in an neutral equilibrium if it remains in equilibrium practically at any position. If it is slightly disturbed from its equilibrium position, it moves farther from that position Example : A ball balanced on the top of an inverted spherical bowl is in a position of a unstable equilibrium, Fig.(b).When disturbed, the body moves towards a position of minimum potential energy. This happens if the body is not initially in a position where its potential energy is not a local minimum. (ii) Unstable equilibrium : A body is said to be in an unstable equilibrium if, when slightly displaced from its equilibrium position, it moves farther from that position. Example : A ball placed inside a spherical bowl is in a position of a stable equilibrium, Fig (a).In this case, the potential energy of the body is at its local minimum. (i) Stable equilibrium : A body is said to be in a stable equilibrium if, when slightly displaced from its equilibrium position, it returns to its equilibrium position. However, potential energy-wise, the three cases differ.

In all these cases, it is under equilibrium. Stable, unstable and neutral equilibrium:įigures (a), (b) and (c) show a ball at rest in three situations under the action of balanced forces.

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The magnitude of the torque is the product of the magnitude of the force and the moment arm.Ĭonsider a rigid body free to rotate about an axis as shown (Fig). The moment of a force about a point or torque is a quantitative measure of the ability of a force to change the state of rotation of a body. Torque or moment of a force about a point :

For a measure of the turning effect of a force lying in a plane perpendicular to the axis of rotation, we must consider the magnitude of the applied force and the distance of its line of action from the axis.

Thus, turning effect of a force or torque depends on the magnitude of the force, its direction and point of application.

Also, it is easier to turn a door if the force is applied perpendicular to the rotation axis.

So, handles on doors are put as far away as possible from the hinges.

While opening a door fixed to a frame on hinges, turning a door requires the least force when it is applied as far away from the rotation axis of the hinges as possible.

Moment arm or lever arm : The perpendicular distance from the axis of rotation to the line of action of the force is called its moment arm or lever arm. Rotational analogue of a force - moment of a force or torque :

Principle of conservation of linear momentum.

Conservative and Non-Conservative Forces and Concept of Potential Energy.

NOTICE: MAKE SURE TO HAVE YOUR ANTIVIRUS DISABLED, NOT DOING SO RESULTS INTO THE GAME YOU ARE INSTALLING TO CRASH AND NOT OPEN. YOU MUST HAVE DIRECTX INSTALLED TO AVOID DLL ERRORS. Don’t forget to run the game as administrator.

#Darq chapter 3 drivers

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