A = 15N @ 30° B = 60N @ 200° C= 100N @ 300° D = 50N @ 140° E = 20N @ 50° F-40N @ 105° G = 30N @ 260° H- 150N @ 290° %3D I= 80N @ 45° J= 75N @ 235° Adding vectors algebraic method 1. Draw a diagram of the given information 2. Break each vector into its x and y components using x = Mcos 0 and y =Msin 0. 3. Find the total x and y components: Ex and Ey 4. Find the magnitude of the resultant vector using: R Ex+ Ey 5. Find the direction of the resultant vector using: 0- tan (Ey/ Ex) and check quadrant of the resultant vector to give a I (0° to 90°) + positive + positive + positive Just tan Ex (-) Ey (+) Tan (-) e +180 %3D Ex (+) Ey (+) Tan (+) full answer II (90° to 180°) II (180° to 270) IV (270° to 360°) + positive - negative Σχ negative - negative Ex (-) Ey (-) Tan (+) Ex (+) - negative + positive 180 + tan Zy + positive negative 180 + tan negative 360 + tan Ey (-) Tan (-) e +360 Tan 0+180 1) C+D Ex 11.70 Ey= -54.46 R= 55.71 N @ 282.12°
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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