Zero
Proof: R2 = P2 + Q2 + 2 P Q cos@
Differentiating with respect to @, we get 0 = 0 + 0 + 2 P Q (-sin @)
This is because R is maximum and P and Q are not variables.
===> sin@ = 0
===> @ = 0
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.
Three One is obviously out. Two is out because if two unequal forces n and p act on an object the resultant with the minimum force in magnitude is |n - p|, which will never be 0 if n =/= p. Three can be easily resolved with a quick example. Imagine an object with three concurrent forces acting on it. Two forces, n = 3 N and p = 4 N, create an angle with each other such that the resultant is 5 N. 180 degrees from the resultant, a force, r = 5 N, is acting on the object. Thus three unequal vectors on an object can result in 0.
" If a number of forces acting at a point be represented in magnitude ad direction by the sides of a polygon in order, then the resultant of all these forces may be represented in magnitude and direction by the closing side of the polygon taken in opposite order "
if several COPLANAR FORCES are acting at a point simultaneously such that each one of them can be represented in direction and magnitude by a side of a polygon, taken in order, then the resultant is given by the closing side in the reverse order
The resultant.
The resultant of two forces P and Q acting along the same line is the algebraic sum of the two forces. If they are acting in the same direction, the resultant is equal to the sum of the forces. If they are acting in opposite directions, the resultant is equal to the difference between the two forces.
Zero degrees. This essentially adds up the forces.
No, resultant forces acting in different directions are not equal. The resultant force is the net force that results from combining all the individual forces acting on an object, taking into account their direction and magnitude.
When there are balanced forces acting on an object, the resultant force is zero. This means that the forces are equal in magnitude and opposite in direction, resulting in no acceleration of the object.
To calculate the resultant force, you need to add up all the individual forces acting on an object. If the forces are acting in the same direction, you simply add them up. If the forces are acting in different directions, you need to consider both the magnitude and direction of each force to determine the resultant force.
The maximum resultant force occurs when the two forces are acting in the same direction, resulting in 1300 gf (500 gf + 800 gf). The minimum resultant force occurs when the two forces are acting in opposite directions, resulting in 300 gf (800 gf - 500 gf).
Increasing the angle between two forces will decrease the magnitude of the resultant force. When the angle is 180 degrees (opposite directions), the forces will cancel out, resulting in a zero resultant force. Conversely, when the angle is 0 degrees (same direction), the forces will add up, resulting in a maximum resultant force.
The maximum resultant possible when adding a 3N force to an 8N force is 11N. This occurs when the two forces are acting in the same direction, resulting in additive effects on the total force magnitude.
Yes, if a book is stationary on a table, the forces acting on it are in equilibrium. The resultant force acting on the book would be zero, as the forces are balanced and there is no net force causing any acceleration or movement.
A resultant is when a force equivelent to two or more other forces acting in different directions at the same point.AnswerA resultant is when a force equivelent to two or more other forces acting in different directions at the same point.
The maximum resultant possible when adding a 3-N force to an 8-N force is 11 N. This occurs when both forces are acting in the same direction.
Perpendicular force is a force acting at a right angle to a surface or object, while resultant force is the single force that effectively replaces multiple forces acting on an object. Perpendicular force only affects motion in the direction it is applied, whereas resultant force takes into account all forces acting on an object to determine its overall motion.