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Lesson: Equivalence of Two Couples

Worksheet: Equivalence of Two Couples • 6 Questions

Q1:

In a rectangle , and . Two forces, each of magnitude 360 N, are acting along and . Two other forces, each of magnitude , are parallel to and acting on the points and . If the two couples are equivalent, find the value of .

Q2:

In a rectangle , and . Two forces, each of magnitude 930 N, are acting along and . Two other forces, each of magnitude , are parallel to and acting on the points and . If the two couples are equivalent, find the value of .

Q3:

is a parallelogram in which , , and the diagonal is perpendicular to . If two forces, each of magnitude 7 N, are acting along and , find the magnitude of each of the two forces and that act at and perpendicularly to the diagonal so that they form a couple equivalent to the couple by the two forces mentioned earlier.

  • A,
  • B,
  • C,
  • D,

Q4:

is a rectangle, where and . Two forces of the same magnitude 8 newtons are acting along and , and another two forces of the same magnitude form a couple that is acting at and , where one of them makes an angle of with . Determine the magnitude of so that the couple formed by the last two forces is equivalent to that formed by the first two forces.

  • A newtons
  • B newtons
  • C newtons
  • D newtons

Q5:

is a horizontal light rod having a length of 60 cm, where two forces, each of magnitude 45 N, are acting vertically at and in two opposite directions. Two other forces, each of magnitude 120 N, are acting in two opposite directions at points and of the rod, where . If they form a couple equivalent to the couple formed by the first two forces, find the size of the angle of inclination that the second two forces make with the rod.

  • A
  • B
  • C
  • D
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