tension

Daniel123 · 2008-01-07 04:55:28

Hello.

A smooth bead B is threaded on a light inextensible string. The ends of the string are attached to two fixed points A and C on the same horizontal level. The bead is held in equilibrium by a horizontal force of magnitude 6N acting parallel to AC. The bead B is vertically below C and angle BAC as θ. Given that tanθ = 3/4, find:

a) the tension in the string

The question implies that the strings have equal tension, but I am not sure why this is? I dont have any problem doing the actual question, it's just this bit I'm a bit confused about.

Thanks.

luca-deltodesco · 2008-01-07 05:01:24

the string is inextensible, therefore the tension throughout the string is equal in magnitude. For the string to have a differing tension in the vertical and diagonal part, the two parts would have to be stretched by different factors, since its inextensible thats not the case.

Daniel123 · 2008-01-07 05:06:19

Ahh right ok, thanks. I have M1 on friday. Do you have many modules?

luca-deltodesco · 2008-01-07 05:38:22

ive got M2 wednesday, then FP1 and D1 over the next two weeks - my AS in Fmaths.

John E. Franklin · 2008-01-07 06:12:49

There must be a downward component on the bead too, or the bead would move up and to the right.
I'm assuming the hole in the bead is curved and frictionless.

luca-deltodesco · 2008-01-07 06:17:13

its weight john.

Math Is Fun Forum

#1 2008-01-07 04:55:28

tension

#2 2008-01-07 05:01:24

Re: tension

#3 2008-01-07 05:06:19

Re: tension

#4 2008-01-07 05:38:22

Re: tension

#5 2008-01-07 06:12:49

Re: tension

#6 2008-01-07 06:17:13

Re: tension

Board footer