AQA Mechanics Question on Tension and Weight

A particle of weight W newtons is held in equilibrium by two light strings, each inclined at an angle a to the vertical. Show that the tension in each string is W/2cos a.

Reply 1

solC

Original post by Jack_Beynon

A particle of weight W newtons is held in equilibrium by two light strings, each inclined at an angle a to the vertical. Show that the tension in each string is W/2cos a.

First things first, draw a (big) diagram

Then, try considering the forces acting on the particle (a second free body force diagram may be helpful here).

Reply 2

Muttley79

Original post by Jack_Beynon

A particle of weight W newtons is held in equilibrium by two light strings, each inclined at an angle a to the vertical. Show that the tension in each string is W/2cos a.

After drawing a force diagram you can note that it is in equilibrium.

Using this I woud suggest resolving forces on the particle verticaly; post your working if you get stuck.