# 11.1.2. Resolution of Forces into Two Components

A force having magnitude of 360 newtons is acting in the direction of North. If it is resolved into two perpendicular components, find the value of the component acting in the direction of East, if it exists.

Show Solutionis the origin point of a system of perpendicular Cartesian coordinates in a plane. is acting at , where and are the two fundamental unit vectors in the direction of and . Find the two components of in the direction of the two axes.

- A4 units in the direction of , 2 units in the direction of
- B2 units in the direction of , 6 units in the direction of
- C6 units in the direction of , 2 units in the direction of
- D4 units in the direction of , 2 units in the direction of

In the figure below, an object weighing N is suspended by two metal rods, and , each of which is inclined to the horizontal at two angles, each of measure . Resolve the weight of the object into two components; in the direction of and in the direction of rounding your answer to the nearest newton.

- AN , N
- BN , N
- CN , N
- DN , N

Resolve a force of N into two components and , where is acting at an angle of to the force's line of action and is acting at an angle of to the other side of the same line of action rounding your answer to the nearest two decimal places.

- AN, N
- BN, N
- CN, N
- DN, N

If a force that has a magnitude of N is acting in the Northwest direction, determine its components and acting in the North and West directions respectively.

- AN, N
- BN, N
- CN, N
- DN, N

If a force that has a magnitude of N is acting in the Northwest direction, determine its components and acting in the North and West directions respectively.

- AN, N
- BN, N
- CN, N
- DN, N

A body weighing N is placed on a plane that is inclined at to the horizontal. Resolve its weight into two components and , where is the component in the direction of the plane and is the component normal to the plane.

- AN, N
- BN, N
- CN, N
- DN, N

Resolve a force of N into two perpendicular components and , given that the angle between the force and measures . Round your answers to the nearest two decimal places.

- AN, N
- BN, N
- CN, N
- DN, N

Resolve a force having a magnitude of N that is acting in the direction of the South into two forces, where is acting in a direction south-east, and is acting in a direction south-west rounding your answer to the nearest two decimal places.

- AN , N
- BN , N
- CN , N
- DN , N

A cruiser is pulled by two ships and using two ropes attached to a point on the cruiser, where . If the resultant of the forces used to pull the cruiser is N and making an angle of with , find the tensions and in and respectively rounding your answer to the nearest two decimal places.

- AN, N
- BN, N
- CN, N
- DN, N