# Lesson Worksheet: Moment of a Force about a Point in 2D: Vectors Mathematics

In this worksheet, we will practice finding the moment of a planar system of forces acting on a body about a point as a vector.

**Q1: **

If the force is acting at the point , determine the moment of about the point .

- A
- B
- C
- D

**Q2: **

Given that force acts through the point , determine the moment about the origin of the force . Also, calculate the perpendicular distance between and the line of action of the force.

- A, length units
- B, length units
- C, length units
- D, length units

**Q3: **

End of is at and has midpoint . If the line of action of the force bisects , determine the moment of about point .

- A
- B
- C
- D

**Q4: **

Given that , , and are acting at the point , determine the moment of the resultant of the forces about the point , and calculate the length of the perpendicular line joining the point to the resultantβs line of action.

- A, length units
- B, length units
- C, length units
- D, length units

**Q5: **

The force is acting on the point . Given that and , determine the moment of this force about both points and .

- A,
- B,
- C,
- D,
- E,

Which of the following would you conclude about the line of action of the force ?

- AThe line of action of passes through the point .
- BThe line of action of bisects .
- CThe line of action of is parallel to .
- DNone of the answers are correct.

**Q6: **

Given that , , and are acting on the point , determine the moment of the resultant of these forces about the two points and .

- A,
- B,
- C,
- D,
- E,

Which of the following would we conclude about the line of action of the resultant force?

- AThe line of action of the resultant force passes through both points and .
- BThe line of action of the resultant force is parallel to .
- CThe line of action of the resultant force passes through point .
- DThe line of action of the resultant force bisects .
- ENone of the answers are correct.

**Q7: **

The force is acting at the point , in parallel to , where the coordinates of the points and are and respectively. Determine the distance between the point and the line of action of .

**Q8: **

and , where and are two forces acting at the points and respectively. The sum of moments about the point of origin equals zero. The sum of the moments about the point also equals zero. Determine the values of and .

- A,
- B,
- C,
- D,

**Q9: **

If the force is acting on the point , where its moment vector about the point is , determine the value of and the perpendicular distance between and the line of action of the force.

- A, length units
- B, length units
- C, length units
- D, length units
- E, length units

**Q10: **

and , where and are two forces acting on the points and respectively. If the sum of moments about the point of origin is , determine the value of .