Pls help me I have a test tmrw
A block with mass 5kg slides along a horizontal floor under the action of a force 20N applied upward at an angle θ to the horizontal. The coefficient of kinetic friction between the block and the floor is μk = 0.4. Find the angle θ that produces the biggest magnitude of acceleration and the numerical value of this acceleration.
Draw the FBD.
Get the eqs in x and y
You should end up with Fn+20sinθ = mg
and 20cosθ- mu Fn = ma
This gets messy quickly, but the general idea will be to maximize 20cosθ + 8sinθ. I get 21.541 as a max. Sticking this back into the originals gets an acceleration of .388.
This is a really complicated question, are you sure some piece of info wasn't left out?