Angled Free Body Diagrams Practice
1. A women pulls a rolling suitcase with a force of 42.0 N directed at an angle of 66° above the
horizontal. Find the x and y components of this force.
2. A little girl pulls a stuffed dog across the floor with a force of 15 N directed at an angle of 32°
above the horizontal. Find the x and y components of this force.
3. A 50-N applied force (30 degrees to the horizontal) accelerates a box across a horizontal sheet of
ice (see diagram). Glen, Olive, and Warren are discussing the problem. Glen suggests that the
normal force is 50 N; Olive suggests that the normal force in the diagram is 75 N; and Warren
suggests that the normal force is 100 N. While all three answers may seem reasonable, only one
is correct. Indicate which two answers are wrong and explain why they are wrong
4. At one moment during a walk around the block, there are four forces exerted upon Fido. The
forces are:
Fapp = 67.0 N at 30.0° above the horizontal (rightward and upward)
Fnorm = 64.5 N, up
Ffrict = 27.6 N, left
Fgrav = 98 N, down
Resolve the applied force (Fapp) into horizontal and vertical components, then add the forces to
determine the net force.
5. A pack of three Arctic wolves are fighting over the carcass of a dead polar bear. A top view of
the magnitude and direction of the three forces is shown in the diagram to the right.
Determine the resultant and net force acting upon the carcass.
6. A construction crane is pulling a dump truck across the construction site. The cable of the crane
pulls on the dump truck with an applied force of 850 N left at an angle of 80° above the
horizontal. The other three forces on the truck are:
Fnorm: 663 N, up
Ffrict: 110 N, right
Fg: 1500 N, down
Resolve the applied force (Fapp) into horizontal and vertical components, then add the forces to
determine the net force.