The fulcrum
A counterclockwise rotation of 270 degrees about the origin is equivalent to a clockwise rotation of 90 degrees. To apply this transformation to a point (x, y), you can use the rule: (x, y) transforms to (y, -x). This means that the x-coordinate becomes the y-coordinate, and the y-coordinate becomes the negative of the x-coordinate.
A rotation of 180 degrees about the origin in a Cartesian coordinate system transforms any point ((x, y)) to ((-x, -y)). This means that the point is flipped to the opposite side of the origin, effectively reflecting it across both axes. This transformation maintains the distance from the origin but reverses the direction. As a result, the shape and size of geometric figures remain unchanged, but their positions are inverted.
To find the coordinates of point S' after a 270-degree rotation around the origin, we apply the rotation transformation. The formula for rotating a point (x, y) by 270 degrees is (y, -x). For point S(-2, -4), this gives us S'(-4, 2). Therefore, the coordinates of S' after the transformation are (-4, 2).
Rotation is a vector having a direction and magnitude.
The time it takes for a complete rotation depends on the object in question. For example, Earth takes about 24 hours to complete one rotation on its axis, which defines a day. In contrast, a spinning top may complete a rotation in just a few seconds, depending on its speed and stability. Thus, the duration of a complete rotation varies widely based on the specific context.
The point of rotation in a lever system, known as the fulcrum, serves as the pivot point around which the lever can move. It enables the lever to exert a mechanical advantage by allowing the input force to be converted into an output force on the load. The distance between the applied force and the fulcrum determines the leverage and magnification of force.
A fulcrum is a pivot point around which a lever operates. It supports and allows for the movement or rotation of the lever when force is applied.
A fulcrum is what a lever rests on. It is the point around which a lever pivots or rotates when force is applied.
A twister is an example of a first-class lever, where the pivot point (fulcrum) is between the effort and the load. In a twister, the twisting force acts as the effort, the pivot point is the center of rotation, and the resulting motion applies a force on the load.
An egg beater is an example of a third-class lever. In a third-class lever, the effort is between the fulcrum (pivot point) and the load. In the case of an egg beater, the handle is the effort, the center of rotation is the fulcrum, and the blades are the load.
Force relates to lever because if you don't have force both the sides will have nothing. Then if you add force to one of the sides the other side will have no force. Force can also be call the load or the effort, mostly it is the effort but sometimes it is the load
The pivot point of a lever system is called the fulcrum.
Technically, it's the "fulcrum". Most folks just call it the "pivot".
Technically, it's the "fulcrum". Most folks just call it the "pivot".
fulcrum
The turning point of a lever is the pivot point around which the lever rotates or turns. It is the point at which the input force is applied to the lever to produce an output force. The position of the turning point can affect the mechanical advantage and efficiency of the lever.
Increasing the distance between the point of rotation (fulcrum) and the applied force (increase in lever arm). Increasing the magnitude of the applied force acting perpendicular to the lever arm (increase in force).