Lesson: Moments in 2D

In this lesson, we will learn how to find the moment of a force acting on a body about a fixed point in 2D space.

Sample Question Videos

  • 01:24

Worksheet: 25 Questions • 1 Video

Q1:

š“ šµ š¶ š· is a rhombus having a side length 2 cm in which š‘š āˆ  š“ šµ š¶ = 6 0 āˆ˜ . Forces of magnitudes 2 N, 6 N, 2 N, š¹ N, and 4 N are acting along ļƒ« šµ š“ , ļƒŖ š¶ šµ , ļƒ« š¶ š· , ļƒ« š“ š· , and ļƒ« š“ š¶ , respectively. If the sum of the moments of these forces about š· equals the sum of moments of the forces about the point of intersection of the two diagonals of the rhombus, find š¹ .

Q2:

š“ šµ š¶ š· is a rectangle, where š“ šµ = 6 c m and šµ š¶ = 8 c m , and forces of magnitudes 24, 30, 8, and 30 newtons are acting along ļƒ« šµ š“ , ļƒŖ šµ š¶ , ļƒ« š¶ š· , and ļƒ« š¶ š“ , respectively. If the point šø āˆˆ šµ š¶ , where the sum of the moments of the forces about šø is 53 Nā‹…cm in the direction of š“ šµ š¶ š· , determine the length of šµ šø .

Q3:

š“ šµ š¶ š· is a rectangle, where š‘€ is the midpoint of šµ š¶ , š“ šµ = 1 6 c m , and šµ š¶ = 1 2 c m . Forces of magnitudes 10, 20, and 12 newtons are acting along ļƒ« š· š“ , ļƒ« š“ š¶ , and ļƒ« š¶ š· , respectively, and a force of magnitude 8 āˆš 2 N is acting at the point š‘€ . If the algebraic sum of the moments of the forces about šµ is 160 Nā‹…cm, determine the angle between the force of magnitude 8 āˆš 2 N and šµ š¶ .

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