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In this lesson, we will learn how to find the moment of a force about a point in space.

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:

Q3:

Q4:

If the force F i j k = − 9 − 4 − is acting at the point 𝐴 ( − 3 , 2 , 4 ) , find the moment 𝑀 𝐵 of the force F about the point 𝐵 ( 6 , 7 , 5 ) , then calculate the length of the perpendicular segment 𝐿 from 𝐵 to the line of action of the force.

Q5:

If the force F i j k = − − 3 is acting at the point 𝐴 ( 8 , 5 , − 1 ) , find the moment 𝑀 𝐵 of the force F about the point 𝐵 ( 1 , 4 , 8 ) , then calculate the length of the perpendicular segment 𝐿 from 𝐵 to the line of action of the force.

Q6:

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

Q7:

In the figure, if the forces F i j k 1 = − 7 − + 3 and F i j k 2 = − 7 + 8 − 6 are acting on the point 𝐴 , where 𝐹 1 and 𝐹 2 are measured in newtons, determine the moment vector of the resultant about the point 𝑂 in newton-centimeters.

Q8:

Find the moment M of the force F about the origin point, given that F i j k = − 2 + + , and is acting at a point 𝐴 whose position vector is r i j k = 6 + 6 − 3 with respect to the origin point, then determine the length 𝐿 of the perpendicular segment drawn from the origin point to the line of action of the force F .

Q9:

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

Q10:

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

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