This is an online educational tools to make graph of Mechanics(parallelogram law of forces). Type two value of forces in force1 & force2 input boxes and coresponding angles inclined to horizental line in two angles input boxes, then click on drawing button to get graph and resultant force & direction.
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In Mathematics, The parallelogram law of forces : If two forces are acting at a point that are represented in magnitude and direction by the two sides of a parallelogram drawn from one of its angular point, then their resultant force is represented both in magnitude and direction by the diagonal of the parallelogram passing through that angular point. For drawing graph resultant force by the law of law of parallelogram of forces with the free graph drawing website www.graph2d.com, type 20 in the input box of force1 with coresponing angle in degree 15 and again type 12 in the input box of force2 with coresponing angle in degree 60, then press drawing button to get the graph of parallelogram with resultant force and direction. The graph is given bellows-
1. Newton's First law of motion : An object at rest remains at rest or an object in motion remains in motion at constant speed in a straight line unless acted on by an unbalanced force. As for example, A ball rolling down a hill will continue to roll unless friction or another force stops it.
2. Newton's second law of motion : The acceleration of an object depends on the mass of the object and the amount of force applied. When a body is acted upon by a net force, the body's acceleration multiplied by its mass is equal to the net force i.e F=ma. As for example, suppose you are riding a bycycle. The total weight of you and your bycycle is the mass. Your leg muscles pushing on the pedals of your bicycle is the force. When you push on the pedals, your bicycle accelerates. when you are increasing the speed of the bicycle by applying force to the pedals, then the acceleration is also increase.
3. Newton's third law of motion : When an object exerts a force on another object, the second object exerts an equal and opposite force on the first object. As for example, when a ball fall down the ground, the ball applies an action force on the ground. The ground applies a reaction same force with opposite direction and hence the ball bounces back.
Statement of Triangle law of forces : If two forces acting at a point are represented in magnitude and direction by the two adjacent sides of a triangle taken in order, then the third side or closing side of the triangle taken in the reversed order represents the resultant of the forces in magnitude and direction.
Here △ABC is a triangle and two forces P and Q acting at a point B are represented in magnitude and direction by the two adjacent sides sides AB and BC of the triangle △ABC taken in order, then the third side or closing side AC of the triangle △ABC taken in the reversed order represents the resultant of the forces R in magnitude and direction.
Statement of Lami’s theorem of forces : If three forces acting at a point are in equilibrium, then each force will be proportional to the sine of the angle between the other two forces. From the bellows figure, there are three forces P, Q and R acting to the point O with the direction OA, OB and OC respectively. So by the Lami’s theorem , we can write P/sin∠BOC=Q/sin∠AOC=R/sin∠AOB. The three forces must be coplanar and the three forces must be concurrent.
Statement of Varignon's Theorem : This theorem is also koown as the principle of moments of forces which is very useful tool in scalar moments calculations.If a number of coplanar forces are acting on a body, then the algebraic sum of their moments about a point in their plane is equal to the moment of their resultant about the same point.
From the bellows figure, the forces P and Q are acting on a point A and O is another point. So The Moment Of R About O = (The Moment Of P About O + The Moment OF Q About O).
