Question

Four forces act as shown in fig. 1.22. Calculate their resultant.

A) 16 N
B) 25 N
C) 36 N
D) 20 N

Answer 1

To calculate the resultant of the four forces, use the Pythagorean theorem and trigonometry. The resultant is approximately 74.4 N.

Step-by-step explanation:

To calculate the resultant of the four forces, we need to find the sum of the forces. The given figure shows forces in different directions. Let's label the forces as follows:

Force A: 64 N northward

Force B: 38 N westward

Force C: Unknown

Force D: Unknown

To find the magnitude and direction of the resultant, we can use the Pythagorean theorem and trigonometry. The net force is equal to the sum of the two known forces:

Net force = √(64^2 + 38^2) = √(4096 + 1444) = √5540 ≈ 74.4 N

Therefore, the resultant of the four forces is approximately 74.4 N.