Force and Interaction(Newton) Homework

  • Thread starter Thread starter savannah.gale
  • Start date Start date
  • Tags Tags
    Force Homework
AI Thread Summary
A man is pulling a trunk up a 20° ramp at an angle of 26° with respect to the ramp, requiring a force component of 81.0 N parallel to the ramp. To find the necessary force, the equations SigmaFx and SigmaFy are used, where Fx is resolved into components based on the angles given. The 20° angle primarily affects the gravitational force acting on the trunk, but it is not directly needed for calculating the force required for the parallel component. The key is to resolve the pulling force into its components and apply the equations accordingly to find both Fx and Fy. Understanding these relationships is crucial for solving the problem effectively.
savannah.gale
Messages
3
Reaction score
0

Homework Statement



A man is dragging a trunk up the loading ramp of a mover's truck. The ramp has a slope angle of 20.0°, and the man pulls upward with a force whose direction makes an angle of θ = 26.0° with the ramp.

(a) How large a force is necessary for the component Fx parallel to the ramp to be 81.0 N?


(b) How large will the component Fy perpendicular to the ramp then be?


Homework Equations





The Attempt at a Solution



SigmaFx=0 becomes F-(Fwsin20degrees)=0
SigmaFy=0 becomes F-(Fn-Fwcos20degrees)=0

SigmaFx=F-0.34Fw=0
SigmaFy=Fn-0.94Fw=0

I know I need to do force of tension(w/ 26 degrees) + force of gravity (w/ 20 degrees) = 0

I just can't seem to put it all together.
 
Physics news on Phys.org
For part (a) you just need to resolve the forces parallel to the ramp. Draw a diagram of the ramp, the block, and the rope pulling the block. Try answering this... When the angle of the rope is 26 degrees to the plane of the ramp what component (or amount) of the force is going to the task of pulling it along the ramp? And then... if 81N is the force parallel to the ramp what force on the rope is required?

If this isn't clear, perhaps u could draw a diagram of your resolving of the forces and post it?
 
savannah.gale said:

Homework Statement



A man is dragging a trunk up the loading ramp of a mover's truck. The ramp has a slope angle of 20.0°, and the man pulls upward with a force whose direction makes an angle of θ = 26.0° with the ramp.

(a) How large a force is necessary for the component Fx parallel to the ramp to be 81.0 N?


(b) How large will the component Fy perpendicular to the ramp then be?


Homework Equations





The Attempt at a Solution



SigmaFx=0 becomes F-(Fwsin20degrees)=0
SigmaFy=0 becomes F-(Fn-Fwcos20degrees)=0

SigmaFx=F-0.34Fw=0
SigmaFy=Fn-0.94Fw=0

I know I need to do force of tension(w/ 26 degrees) + force of gravity (w/ 20 degrees) = 0

I just can't seem to put it all together.





I have made this simple figure for the problem you have .. I hope it will be helpful for you .. if you still have problems ask again ..

[URL=http://img25.imageshack.us/i/ed96d.jpg/][IMG=http://img25.imageshack.us/img25/8182/ed96d.jpg][/URL][/PLAIN]
 
Great guys,thanks so much.
But one more question , where does the 20 degree angle come into play, could you set up the equations?
I understand the concept of what I am looking for but setting it up has me stuck.
 
i have it set up like the guy did below, but i don't know where to add in 20 degree angle , and whatequations i need to use.
 
I don't think that you need the 20 degree angle in your question unless there is a part asking for the normal force for example .. but for the current problem I don't think you need it ..

savannah.gale said:
i have it set up like the guy did below, but i don't know where to add in 20 degree angle , and whatequations i need to use.

and you will just need to use the following equations:

Fx = F cos(26)
Fy = F sin(26)

you have the value for Fx then find F and from there find Fy ..

Hopefully, that was clear enough for you .. if you have further questions ask ..
 
Last edited:
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top