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 𝐴, find the norm of the moment of the force about the point 𝐴, giving your answer in Nβ‹…m.

Q2:

Given that 𝐴𝐡𝐢𝐷 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 𝐡.

Q3:

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

Q4:

Determine the moment of the force that has a magnitude of 11 N about point 𝑂. Give your answer in Nβ‹…m.

Q5:

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

Q6:

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

Q7:

𝐴𝐡𝐢 is an isosceles triangle in which π‘šβˆ π΅=120∘ and 𝐴𝐢=120√3cm. Forces of 20, 17, and 14√3 newtons are acting on 𝐴𝐢, οƒͺ𝐢𝐡, and 𝐴𝐡, respectively. Find the sum of the moments of the forces about the midpoint of 𝐡𝐢, given that the positive direction is 𝐢𝐡𝐴.

Q8:

Three forces, measured in newtons, are acting along the sides of an equilateral triangle 𝐴𝐡𝐢 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 𝐴𝐡 rounded to two decimal places.

Q9:

𝐴𝐡𝐢 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:

𝐴𝐡𝐢𝐷 is a rhombus having a side length 2 cm in which π‘šβˆ π΄π΅πΆ=60∘. Forces of magnitudes 2 N, 6 N, 2 N, 𝐹 N, and 4 N are acting along 𝐡𝐴, οƒͺ𝐢𝐡, 𝐢𝐷, 𝐴𝐷, and 𝐴𝐢, respectively. If the sum of the moments of these forces about 𝐷 equals the sum of moments of the forces about the point of intersection of the two diagonals of the rhombus, find 𝐹.

This lesson includes 50 additional questions and 526 additional question variations for subscribers.

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