Question

A heavy piece of equipment has wheels on one side and legs on the other as shown in the diagram below.

Answer 1

9514 1404 393

Answer:

• horizontal: 390 N
• vertical: 590 N
• 707.2∠56.5° N

Step-by-step explanation:

The problem statement tells you the two horizontal forces are 185 N and 205 N. The total horizontal force is (185 +205) N = 390 N.

The vertical forces are said to be 300 N and 290 N. The total vertical force is (300 +290) N = 590 N.

The magnitude of the resultant is the root of the sum of the squares:

  √(390² +590²) = √(152100 +348100) = √500200 ≈ 707.248

The angle of the resultant (relative to the horizontal) is ...

  α = arctan(vertical/horizontal) = arctan(590/390) ≈56.53°

The resultant force is about 707.2 N at an angle of 56.5° above the horizontal.