4-2 Worksheet Vector Components - Trunnell's Physics

Physics P

Worksheet

4-2

Worksheet 4-2: Vector Components

Vector Components

Determine the x and y components of each of the force vectors below. Show your work.

1.

2.

3.

4.

Physics P

Worksheet 4-2: Vector Components

5. A person pulls on a 500 N desk with a 200 N force acting

at 30¡ã angle above the horizontal. The desk does not budge.

a. Draw a free-body diagram for the desk.

b. Write the equation that describes the forces that act in the x-direction.

c. Write the equation that describes the forces which act in the y-direction.

d. Determine the x and y components of the force of tension.

e. Determine the value of the frictional force. Do the same for the normal force.

6. Suppose in the diagram above, the person was pushing down at a 30¡ã angle with 200 N of

force. The desk still does not move.

a. Draw a free-body diagram for the desk.

b. Write the equation that describes the forces that act in the x-direction.

c. Write the equation that describes the forces that act in the y-direction.

d. Determine the value of the frictional force. Do the same for the normal force.

Physics P

1. x = 7.5 N

y = 13.0 N

Worksheet 4-2: Vector Components

6a.

2. x = -103.9 N

y = 60.0 N

3. x = 17.6 N

y = -17.6 N

4. x = -22.0 N

y = -38.1 N

5a.

6b. FFriction on Desk - Fhorizontal= 0

6c. FGround on Desk - Fvertical ¨C FEarth on Desk = 0

6d. FFriction on Desk = 173.2 N

FGround on Desk = 600 N

5b. Fhorizontal ¨C FFriction on Desk = 0

5c. FGround on Desk + Fvertical ¨C FEarth on Desk = 0

5d. Fhorizontal = 173.2 N

Fvertical = 100.0 N

5e. FFriction on Desk = 173.2 N

FGround on Desk = 400 N

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