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Lesson: Couples and the Moment of a Couple

Question Video: Finding the Perpendicular Distance between Two force Vectors Forming a Couple

06:24

Worksheet: Couples and the Moment of a Couple • 11 Questions

Q1:

What is a couple?

  • Aa pair of parallel forces with equal magnitude and opposite direction which do not lie on the same line of action.
  • B a pair of forces with equal magnitude
  • C a pair of forces with the same magnitude and direction.
  • D a pair of parallel forces with equal magnitude and the same line of action

Q2:

The two forces and are acting at the points and respectively. Given that they are forming a couple, determine the vector of the couple moment.

  • A
  • B
  • C
  • D

Q3:

The two forces and are acting at the points and respectively. Given that they are forming a couple, determine the vector of the couple moment.

  • A
  • B
  • C
  • D

Q4:

Given that two forces and are acting at two points and respectively to form a couple, find the perpendicular distance between the two forces.

  • A length unit
  • B length unit
  • C length unit
  • D length unit

Q5:

is square having a side length of 3 cm. and belong to , where . Given that two equal forces, each of magnitude 5 N, are acting along and respectively, find the magnitude of the moment of the couple.

  • A N⋅cm
  • B N⋅cm
  • C N⋅cm
  • D N⋅cm

Q6:

is a square of side length 8 cm, where two forces of magnitudes 21 N are acting at and respectively, and their lines of action are in the direction of and respectively. Determine the magnitude of the moment of the couple.

  • A N⋅cm
  • B 168 N⋅cm
  • C 336 N⋅cm
  • D N⋅cm

Q7:

is a rectangle, in which and . Two forces of the same magnitude N are acting at and in the directions of and respectively. Determine the magnitude of the moment of the couple.

Q8:

is a parallelogram, where , , and the perpendicular distance between and is 6 cm. Given that two forces of the same magnitude 50 N are acting along and , respectively, determine the magnitude of the moment of the couple.

Q9:

is a regular hexagon with sides of length 5 cm. Two forces of the same magnitude 13 N are acting along and , respectively. Determine the magnitude of the moment of the couple.

  • A N⋅cm
  • B N⋅cm
  • C 130 N⋅cm
  • D 65 N⋅cm

Q10:

In the figure below, and and form a couple. Find the algebraic measure of the moment of that couple.

Q11:

The given figure shows two forces each of magnitude 267 newtons acting on two edges of a lamina in the form of a rectangle with dimensions and . Find the moment of the couple if .

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