Finding the tension of a string

[UrbanXrisis]

picure is http://home.earthlink.net/~suburban-xrisis/clip2.jpg
I need to find the Tension on string #1
The radius of the pully is 0.25m of negligible mass

I tried and always got 108N however the book says its 118N

(sin37*15*9.8)+(sin37*15*2)=108N

I don't see how it is 118??

 

[dextercioby]

It doesn't make any sense...Is the string ideal...?If so,then the tension in it is constant...Why do they give you the radius of the pulley...?Definitely weird...

Anyway,even so,assuming that the wire is not ideal (it would make sense),the II-nd principle for the body on the incline should lead you to the answer...

Daniel.

 

[learningphysics]

picure is http://home.earthlink.net/~suburban-xrisis/clip2.jpg
I need to find the Tension on string #1
The radius of the pully is 0.25m of negligible mass

I tried and always got 108N however the book says its 118N

(sin37*15*9.8)+(sin37*15*2)=108N

I don't see how it is 118??

You equation is wrong. How did you get: (sin37*15*9.8)+(sin37*15*2)

 

[scholzie]

You equation is wrong. How did you get: (sin37*15*9.8)+(sin37*15*2)

Indeed. You have to realize that you're given an acceleration that is already in the direction of motion. There is no need to use sines or cosines on that magnitude, since it's already in component form.

You should wind up with an equation that describes the net forces on the incline's block, which (thanks to Newton) will equate to the mass and acceleration of the block (both of which you know).

Plug and Chug

 

[UrbanXrisis]

It doesn't make any sense...Is the string ideal...?If so,then the tension in it is constant...Why do they give you the radius of the pulley...?Definitely weird...

Anyway,even so,assuming that the wire is not ideal (it would make sense),the II-nd principle for the body on the incline should lead you to the answer...

Daniel.

the r is to find the moment of inertia of the pully. I actually have some trouble with this. Is there an equation that I can use? I have tried many and don't know why it's not giving the answer of 1.2kgm^2

any ideas?

 

[scholzie]

the r is to find the moment of inertia of the pully. I actually have some trouble with this. Is there an equation that I can use? I have tried many and don't know why it's not giving the answer of 1.2kgm^2

any ideas?

If there's negligiable mass, then the moment of inertia of the pully isn't significant enough to worry about. I got 118 N using only the information provided in the diagram itself.

(PS - the moment of inertia of a solid cylinder is $\frac{1}{2}MR^2$ ...again, though, in this case you don't really need it.)

^^ That gap is the strangest thing...