The resultant force for 6N is simply 6N. This is because there is only one force acting on the object, and that force has a magnitude of 6N.
The resultant force on the object would be the sum of the remaining forces (4N + 5N) which equals 9N.
The magnitude of the resultant force is found using the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In this case, the resultant force is √(6^2 + 8^2) = √(36 + 64) = √100 = 10N.
Sorry we can't sketch a pictorial of the question. 1). The 10N force is all in the -x direction. 2). The 12N force has a component in the +x direction = 12sin(30)and a component in the -y direction = 12cos(30) 3). The 6N force has a component in the +x direction = 6sin(30)and a component in the +y direction = 6cos(30) The horizontal components are: -10 + 12sin(30) + 6sin(30) = -10 + 18sin(30) = -10 + 9 = -1N The vertical components are: -12cos(30) + 6cos(30) = -6cos(30) = -(6/2)sqrt(3) = -3sqrt(3) = -5.19615N The (magnitude)2 of the resultant = (-1)2 + (3sqrt(3))2 = 1 + 27 = 28The magnitude of the resultant = sqrt(28) = 5.2915N (rounded) The direction of the resultant = S [tan-1(1/5.19615)] W = S30W (just a little bit rounded)
Resultant force is a system of forces in the single force equivalent to the system, whilst equilibrant force is a force capable of balancing another force to achieve equilibrium.
the head to tail rule
The resultant force on the object would be the sum of the remaining forces (4N + 5N) which equals 9N.
The magnitude of the resultant force is found using the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides. In this case, the resultant force is √(6^2 + 8^2) = √(36 + 64) = √100 = 10N.
To find the resultant force you need to find both the x and y component of the resultant force. Once you have that, you can use the Pythagorean theorem to find the resultant force.
The magnitude of the resultant force in the case of the concurrent forces in equilibrium.
A 150 pound resultant force
Sorry we can't sketch a pictorial of the question. 1). The 10N force is all in the -x direction. 2). The 12N force has a component in the +x direction = 12sin(30)and a component in the -y direction = 12cos(30) 3). The 6N force has a component in the +x direction = 6sin(30)and a component in the +y direction = 6cos(30) The horizontal components are: -10 + 12sin(30) + 6sin(30) = -10 + 18sin(30) = -10 + 9 = -1N The vertical components are: -12cos(30) + 6cos(30) = -6cos(30) = -(6/2)sqrt(3) = -3sqrt(3) = -5.19615N The (magnitude)2 of the resultant = (-1)2 + (3sqrt(3))2 = 1 + 27 = 28The magnitude of the resultant = sqrt(28) = 5.2915N (rounded) The direction of the resultant = S [tan-1(1/5.19615)] W = S30W (just a little bit rounded)
The resultant is a trigonometric function, usually using the Law of Cosines in two dimensional solution by vector resolution, of two or more known forces while equilibrant is equal in magnitude to the resultant, it is in the opposite direction because it balances the resultant.Therefore, the equilibrant is the negative of the resultant.
a resultant vector not only the resultant of two or three vector. it is the resultant direction of two or many vectors.(let us push an object with same force in opposite direction the resultant is zero and if we push in same direction the force will double.if we pull a object with same force in x and y direction the resultant force in 45 degrees to x axis)
Resultant force is a system of forces in the single force equivalent to the system, whilst equilibrant force is a force capable of balancing another force to achieve equilibrium.
The total force you would get by adding a 6N force with a 4N force is 10N. This is because forces can be added together like numbers in mathematics to get the total force applied.
the head to tail rule
If the two vectors are directly opposite each other, then subtract the smaller one from the larger one and that will be your resultant force. For example, if the force downwards is 5 N and the force upwards is 2 N, the resultant force is 3 N downwards. If the one or both of the two vectors are angled, you need to replace the angled vectors with two right-angled vectors and then add those to create the resultant vectors.