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Worksheet: The Moment of a Force About a Point in Space

Q1:

If a force is acting at the point , where the moment of about the origin is , find .

  • A
  • B
  • C
  • D

Q2:

If the force is acting at the point , find the moment of the force about the point , then calculate the length of the perpendicular segment from to the line of action of the force.

  • A,
  • B,
  • C,
  • D,

Q3:

If the force , where , is acting on the point , and the moment of the force about the point is , determine the value of .

Q4:

If the force , where , is acting on the point , and the moment of the force about the point is , determine the value of .

Q5:

If acts at a point , and the moment of about the origin point is equal to , find the value of .

  • A
  • B
  • C
  • D31

Q6:

If the force , where , is acting on the point , and the moment of the force about the point is , determine the value of .

Q7:

If the force is acting at the point , find the moment of the force about the point , then calculate the length of the perpendicular segment from to the line of action of the force.

  • A,
  • B,
  • C,
  • D,

Q8:

In the figure shown, a force of magnitude newtons acts at a point , determine the moment vector of the force about the origin in N.m.

  • A
  • B
  • C
  • D

Q9:

The forces and act along and , respectively, as shown in the figure. Given that , , and are a right system of unit vectors in the directions of , , and , respectively, find the sum of the moments of the forces about point in newton-meters.

  • A
  • B
  • C
  • D

Q10:

In the figure, if the forces and are acting on the point , where and are measured in newtons, determine the moment vector of the resultant about the point in newton-centimeters.

  • A
  • B
  • C
  • D

Q11:

A force having a magnitude of newtons is acting on point in the direction of and another force having a magnitude of newtons is acting on point in the direction of as shown in the figure. If , , and are a right system of the one vectors in the direction of , , and , respectively, determine the vector sum of the moments of the forces about point in newton-centimeters.

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

Q12:

Given that a force of magnitude 6 N is acting on as in the figure, determine its moment vector about in newton-centimeters.

  • A
  • B
  • C
  • D

Q13:

In the figure, determine the sum of the moment vectors of the forces 86 and 65 newtons about in newton-centimeters.

  • A
  • B
  • C
  • D

Q14:

In the figure, a force of magnitude 90 newtons is acting along diagonal in a rectangular prism whose dimensions are 14 cm, 14 cm, and 7 cm. Determine the vector moment of the force about in newton-centimeters.

  • A
  • B
  • C
  • D

Q15:

In the figure, is a rod fixed to a vertical wall at end . The other end is connected to a wire , where is fixed to a different point on the same vertical wall. If the tension in the wire equals 39 N, calculate the moment of the tension about point in newton-meters.