# Worksheet: Moment of a Couple

Q1:

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

Q2:

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 Nβcm
• B 168 Nβcm
• C 336 Nβcm
• D Nβcm

Q3:

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.

Q4:

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

Q5:

is a regular hexagon, having a side length of 5 cm, where a force of magnitude 15 N is acting along , and another force of the same magnitude is acting at in the direction of . Determine the magnitude of the moment of the couple.

Q6:

If the norm of the moment of a couple is 750 Nβm, and the magnitude of one of its two forces is 50 N, determine the arm length of the moment of the couple.

Q7:

If the two forces and form a couple, then find the value of .

Q8:

Given that the forces , , and are acting at the points , , and respectively, where the system of forces is equivalent to a couple, , and , determine the magnitude of the moment of the couple.

Q9:

is a parallelogram, where and . If two forces of the same magnitude 50 N are acting at and respectively, determine the magnitude of the moment of the couple, rounding your answer to two decimal places.

Q10:

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 Nβcm
• B Nβcm
• C Nβcm
• D Nβcm

Q11:

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.

Q12:

is square having a side length of 24 cm, , and , where . Given that two forces, each of magnitude, 34.2 N are acting along and respectively, find the magnitude of the moment of the couple.

• A 492.48 Nβcm
• B 123.12 Nβcm
• C 369.36 Nβcm
• D 164.16 Nβcm

Q13:

and are two parallel chords in a circle whose radius is 25 cm, and they are at different distances away from the circleβs center, where , and . Given that two forces of the same magnitude 20 N are acting along and , respectively, determine the magnitude of the moment of the couple.

• A 500 Nβcm
• B 1β760 Nβcm
• C 1β000 Nβcm
• D 880 Nβcm

Q14:

A light rod , which has a length of 22 cm and a mid-point , is under the action of two forces measured in newtons as shown in the figure. Given that a moment of magnitude 22 Nβcm is acting on the rod perpendicularly to the vertical plane, determine the moment of the resultant couple acting on the rod.

Q15:

is an isosceles trapezoid, where , , and . Two forces, each of magnitude 50 N, are acting along and , respectively. Find the magnitude of the moment of the couple rounded to two decimal places, giving your answer in .

• A 667.08 Nβcm
• B
1β264.91
Nβcm
• C
1β334.17
Nβcm
• D 632.46 Nβcm

Q16:

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 65 Nβcm
• B Nβcm
• C 130 Nβcm
• D Nβcm

Q17:

Given that and are two forces which form a couple, where , determine .

• A
• B
• C
• D

Q18:

is a rhombus in which its diagonal and . Given that two equal forces, each of magnitude 45 N, are acting along and respectively, find the magnitude of the moment of the couple rounded to two decimal places if necessary.

Q19:

is a rhombus, where its diagonals and are 13 cm and 7 cm respectively, and two forces of the same magnitude 23 N are acting along and . Determine the magnitude of the moment of the couple, rounding your answer to two decimal places if necessary.

• A 299 Nβcm
• B 283.51 Nβcm
• C 86.29 Nβcm
• D 141.76 Nβcm

Q20:

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 .

Q21:

Given two forces in a couple, what is the name given to the product of the magnitude of one of the forces and the perpendicular distance between the two forces?

• A the magnitude of the couple
• B the resultant of the couple
• C the moment of one force of the two forces of the couple
• D the moment of the couple

Q22:

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

Q23:

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

Q24:

What is a couple?

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

Q25:

is a right triangle at , where and . The two forces and , measured in newtons, are acting on the sides of the triangle as shown in the figure below. If the system of forces is equivalent to a couple, determine the magnitudes of and .

• A ,
• B ,
• C ,
• D ,