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The triangle law of forces states that if two forces acting simultaneously on a point can be represented in magnitude and direction by the two sides of a triangle taken in order, then the resultant force can be represented by the third side of the triangle. This law is fundamental in vector addition, illustrating how forces can be combined to determine their resultant. Essentially, it provides a geometric method for analyzing the effects of multiple forces acting at a point.
What else can I help you with?
Can the sine law be usd in a right triangle?
Yes, the law of sines can be used in a right triangle. The law applies to any arbitrary triangle.
Why bridges have right triangle?
The load distribution is distributed over a certain width vs depth ratio:- as the aspect ration is changed the law of diminishing returns kicks in ie wider the triangle with shorter height will result in excessive tensile force on the bottom chord and higher compressive forces on the two acute sides. It is theoretically considered that the Isosceles triangle best makes use of this optimisation of tension and compressive forces in structures.
What is the triangle law of vectors?
If three vectors form a triangle , their vector sum is zero.
When do we use lami's theorem?
You use Lami's theorem wen you triangle of forces to calculate the sides of the triangle or the angles opposite to a side.
Is sine law applicable in acute triangle?
Yes
Define triangle law of forces and polygon law of forces?
Three forces in equilibrium can be represented in magnitude and direction by the three sides of a triangle taken in order. If a number of forces acting simultaneously on a particle be represented in magnitude and direction by the sides of a polygon taken in order, their resultant may be represented in magnitude and direction by the closing side of the polygon taken in opposite order.
Why Lami's theorem cannot be used for 4 concurrent forces?
Because, this theorem comes from the law of sines which is completely a triangle law and the law of sines can not be applied on other polygons.
Difference between concurrent coplanar forces and non concurrent coplanar forces?
Concurrent coplanar forces have their lines of action intersecting at a common point, allowing them to be resolved using the parallelogram law of forces. Non-concurrent coplanar forces have their lines of action not intersecting at a common point, requiring the use of the triangle law of forces for resolution.
Derivation for parallelogram law of forces?
The parallelogram law of forces says that the sum of two forces is equivalent to the parallelogram formed by placing the first vector as starting from the origin and the second starting from the head of the first. This can be proven through trigonometric derivation of triangle angles and sides.
Can the sine law be usd in a right triangle?
Yes, the law of sines can be used in a right triangle. The law applies to any arbitrary triangle.
What is triangular law state?
If 2 forces acting at a point are represented by 2 sides of a triangle taken in order, then the 3rd side taken in opposite order,represents the resultant
What is an isoceles triangle?
An isosceles triangle is a shape that has at least 2 sides that are the same length. This forces the angles to be acute.
Does law of vectors mean triangle law of vectors?
law of vectors also include the parallellogram law .
Why bridges have right triangle?
The load distribution is distributed over a certain width vs depth ratio:- as the aspect ration is changed the law of diminishing returns kicks in ie wider the triangle with shorter height will result in excessive tensile force on the bottom chord and higher compressive forces on the two acute sides. It is theoretically considered that the Isosceles triangle best makes use of this optimisation of tension and compressive forces in structures.
What is the triangle law of vectors?
If three vectors form a triangle , their vector sum is zero.
What is triangle law in vectors?
The triangle law states that if two vectors are represented as two sides of a triangle, then the resultant of the vectors is represented by the third side of the triangle, drawn from the initial point of the first vector to the terminal point of the second vector. It is used to calculate the resultant of two vectors by parallelogram law.
What is the relationship between the net force triangle and the calculation of resultant forces in a system?
The net force triangle is a visual representation of the forces acting on an object in different directions. By using vector addition, the net force triangle helps calculate the resultant force, which is the single force that has the same effect as all the individual forces combined. In a system, the net force triangle is essential for determining the resultant force and understanding how multiple forces interact to produce a single overall effect.
