# Worksheet: Moments in 3D

Q1:

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

Q2:

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

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 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 ,

Q5:

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 ,

Q6:

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

• A
• B
• C
• D

Q7:

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

Q8:

Find the moment of the force about the origin point, given that , and is acting at a point whose position vector is with respect to the origin point, then determine the length of the perpendicular segment drawn from the origin point to the line of action of the force .

• A , length units
• B , length units
• C , length units
• D , length units

Q9:

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

Q10:

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

• A
• B31
• C
• D