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

In this worksheet, we will practice finding the sum of moments of a group of forces acting on a body about a point in 2D.

Q1:

If a force, having a magnitude of 498 N, is 8 cm away from a point , find the norm of the moment of the force about the point , giving your answer in N⋅m.

Q2:

Given that is a square with side length 7 cm and forces acting on it as shown in the figure, calculate the algebraic sum of the moments about vertex . Q3:

In the figure, determine the magnitude of the sum of the moments of the forces 13 N, 18 N, and 7 N about rounding your answer to two decimal places.

Q4:

Determine the moment of the force that has a magnitude of 11 N about point . Give your answer in N⋅m. Q5:

In the given figure, determine the moment about point , given that the force 11 is measured in newtons. Q6:

In the given figure, find the magnitude of the sum of the moments about of the forces whose magnitudes are 5 N and 18 N. Q7:

is an isosceles triangle in which and . Forces of 20, 17, and newtons are acting on , , and , respectively. Find the sum of the moments of the forces about the midpoint of , given that the positive direction is .

Q8:

Three forces, measured in newtons, are acting along the sides of an equilateral triangle as shown in the figure. Given that the triangle has a side length of 7 cm, determine the algebraic sum of the moments of the forces about the midpoint of rounded to two decimal places. Q9:

is an equilateral triangle, having a side length of 4 cm. Knowing that forces of magnitudes 150 N, 400 N, and 50 N are acting as shown in the figure, determine the sum of the moments of these forces about the point of intersection of the triangle’s medians, rounded to two decimal places. Q10:

is a rhombus having a side length 2 cm in which . Forces of magnitudes 2 N, 6 N, 2 N, N, and 4 N are acting along , , , , and , respectively. If the sum of the moments of these forces about equals the sum of moments of the forces about the point of intersection of the two diagonals of the rhombus, find .

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