Answer to Question #107738 in Classical Mechanics for Avalon

Question #107738
a 15.0kg object experiences a 20 N force pulling at 30.0 degrees south of west, a force of 30 N pulling from the west, and a 45 N force pulling from the north. What is the acceleration experienced by the object?
1
Expert's answer
2020-04-05T14:42:40-0400

I have pasted a picture of the question which will show the actual direction of forces



Let's resolve the force  20 N at 30.0 degrees south of west

20N sin30o will act in the south direction =10 N in the south

20 N cos300 will sct in the west direction =10"\\sqrt3" N in the West

Lets find the resultant of all the forces

We get 30 N acts in the North direction and 30+10"\\sqrt3" N in the West direction

converting this into vector form

"F=-(30+10\\sqrt3)i+30j"

Force =ma

"a=-(2+\\frac{2\\sqrt3}{3})i+2j"


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