Hanging Objects - Study Guides

Links to Practice Problems are at the BOTTOM of this Page

MY VIDEO Introduction to Hanging Object Problems is HERE

The basis for hanging object problems is the same for ALL of our forces problems:

  • If an object experiences unbalanced forces in the "x" or "horizontal" direction, it will accelerate in the direction of the unbalanced force.

  • If an object experiences unbalanced forces in the "y" or " vertical" direction, it will accelerate in the direction of the unbalanced force.

  • If an object is at rest in the "x" or "horizontal" direction the forces in that direction MUST be balanced or absent.

  • If an object is at rest in the "y" or "vertical" direction the forces in that direction MUST be balanced or absent.

Mathematically we express those situations as:

∑Fx = max

∑Fy= may

 

THEREFORE--

Our job is to

(1) determine if the forces acting in the horizontal ("x") direction are balanced or unbalanced

(2) determine if the forces acting in the vertical ("y") direction are balanced or unbalanced

 

HANGING PROBLEMS

MY Video Introduction to Hanging Problems is HERE

For a video/worked example of a side-puller (JV!) please take a look at this

For a video/worked example of the tough "stoplight" hanger (Varsity!) please take a look at Part I   Part II   Part III (try each part by yourself and see how far you can go before checking your work on the next video

Worked Problems

A somewhat more difficult (but still very do-able) hanger problem is HERE

For a basic worked example of a basic hanger problem go HERE.

For a more advanced version of that problem go HERE:

More Practice:

1) A 52.0 kg mass is suspended by two wires. The first wire T1 pulls up and to the right with a force of 611 N and makes an angle of 31.0 degrees to the ceiling. The second wire pulls up and to the left with a force of T2 and makes an angle θ2 to the ceiling there.

Find T2 and θ2 if the object is hanging at rest.

My solution is HERE

═══════════════════════════

Khan Academy teaches hanging problems HERE

Physics Classroom: For a basic hanger practice problem try #14 & 16 HERE (Hint: it is easier to visualize those problems as 2 dimensional hanging problems with half of the ropes/cables pulling up to the left and the other half pulling up to the right).

My solutions are HERE and HERE