Please Help me How to solve this and explain pls, I\'m really bad at solving. Th

Question

 

Please Help me How to solve this and explain  pls, I'm really bad at solving. Thank you

 

1) Resolve a force of 100N acting at an angle of 37degrees with the horizontal into horizontal and vertical components.

2) An object weighing 40N rests on an inclined plane making an angle of 30 degrees with the horizontal. Resolve the force into components parallel to the plane and perpendicular (normal) to the plane.

3) Resolve a force of 100N into two components which lie on opposite sides of the force and each of which  makes an angle of 30 degrees with the force.

4) Two airplanes start from the same point, one traveling 250km E and the other 180km N. What is the vector difference of these two displacements? What does it signify?

5) Three cities X, Y, and Z are connected by straight highways. X is 6km from Y, Y is 4km from Z, and X is 5km from Z. Find the angle made by the highways XY and YZ.

6) Four boxes each weighing 100N are suspended from a beam. What is the tension in each of the wires.

-------------------------------------------------------------------------------------------------------------------------------
    -> / 30 D  <-          |                     |         |       <- 150 D -> /
       ~~~~~~~           ~~~~~~                ~~~~~~~~                 |
      |    A     |        |    B     |             |     C      |         ~~~~~~~
      ~~~~~~~~         ~~~~~~~                ~~~~~~~~        |     D     |
                                                                                ~~~~~~~~

Explanation / Answer

The force, F = 100 N The angle of force with the horizontal, = 30 degree So the horizontal component of force, Fx = F cos = 100 cos30 = 86.6 N The vertical componetn of force, Fy = F sin = 100 sin30 = 50 N PLEASE REPOST THE REMAINING QUESTIONS. THANq

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