Methods of vector addition compute for the resultant vector...

Methods of Vector Addition Compute for the resultant vector using graphical methods and component method. A= 30 cm 30° N of E B= 20 cm 20° N of W C= 50 cm 40° S of W Answers: (parallelogram) (polygon) (component)

Transcript

00:01 Hi, here in this given problem there are three vectors whose magnitude along with the direction, resultant direction we have to find.

00:12 So first of all, let us draw a cartesian plane.

00:21 This is x -axis, this is y -axis here.

00:26 The first vector that is 30 centimeter and at an angle of 30 degree from a the positive x -axis counterclockwise this is a 30 centimeter at an angle of 30 degree then another vector b which is having a magnitude of just 20 centimeter and at an angle of 20 degree from negative x -axis clockwise so this is b is equal to 20 centimeter and as these directions are given as not as per cartesian plane but as per the geographic directions so we should mark them like that.

01:33 So this is north this is north and south and this is east and here this is west.

01:43 So first vector is 30 degree north of east.

01:46 Second vector is 20 degree north of west and the last one that is having a magnitude of 50 centimeter vector c and this is 40 degrees south of west the largest one this is vector c is equal to 50 centimeter and it is 40 degrees south of west so first of all we resolve all these vectors considering horizontal means x x is along east -west and y -x is along north -south so here it will be a x this will be a y this will be bx along negative x -axis this will be b y along positive x -axis and finally here it will be c y along negative y axes and this will be c x along negative x axis so using the component method a x will be given as 30 cost 30 degree and it comes out to be equal to 25 .98 centimeter then a y this is a means 30 sine 30 degree sine 30 degrees having a value of half so this is 15 centimeter then b x this is along negative x axis so this is minus minus b cost 20 degree means 20 cost 20 degree so it comes out to be equal to minus 18 .8 centimeter then b y this is positive so this is plus 20 sign 20 degree means it comes out to be equal to 6 .84 plus centimeter...

Question

Methods of Vector Addition Compute for the resultant vector using graphical methods and component method. A= 30 cm 30° N of E B= 20 cm 20° N of W C= 50 cm 40° S of W Answers: (parallelogram) (polygon) (component)

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