# Quick M3 question

Watch
This discussion is closed.
Thread starter 15 years ago
#1
A bead B of mass 0.8kg is threaded on a smooth circular wire centre O and radius 0.4m which is fixed in a horizontal plane. A light inextensible string is attached to B and passes through a small smooth horizontal ring at O and carries a mass of 0.4kg which is hanging freely. B is moving on the wire with a constant speed of 5m/s. Calculate the magnitude and direction of the reaction of the wire on B.
0
15 years ago
#2
(Original post by Widowmaker)
A bead B of mass 0.8kg is threaded on a smooth circular wire centre O and radius 0.4m which is fixed in a horizontal plane. A light inextensible string is attached to B and passes through a small smooth horizontal ring at O and carries a mass of 0.4kg which is hanging freely. B is moving on the wire with a constant speed of 5m/s. Calculate the magnitude and direction of the reaction of the wire on B.
Resolving for particle of mass 0.4kg:
T = 0.4g.

Let the reaction be R and let it make an angle t with the horizontal.
Resolving horizontally for B gives: 0.4g + Rcost = 0.8(5^2)/(0.4)
Resolving vertically for B gives: Rsint = 0.8g.

Solve the two simultaneous equations to find the value of R and t.
0
X
new posts
Back
to top
Latest
My Feed

### Oops, nobody has postedin the last few hours.

Why not re-start the conversation?

see more

### See more of what you like onThe Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

### Poll

Join the discussion

#### Should the rest of the UK follow the Scottish Results changes announced?

Yes they should (159)
58.24%
No they should not (84)
30.77%
Abstain (30)
10.99%