AS Physics Questions on forces moments equilibrium etc

Some questions I've been stuck on:

1.
A particle of weight W rests on a smooth plane which is inclined at 40 degrees to the horizontal . The particle is prevented from slipping by a force of 50N acting parallel to the plane and up a line of greatest slope. Calculate
a) W
b) the reaction due to the plane

2.
Two light strings are perpendicular to each other and support a particle of weight 100N. THe tension in one of the strings is 40N. Calculate the angle this string makes with the vertical and the tension in the other string.

3.
AB is a uniform rod of length 1.4m. It is pivoted at C where AC=0.5m and rests in horizontal equilibrium when weights of 16N and 8N are applied at A and B respectively. Calculate
a) the weight of the rod
b) the magnitude of the reaction at the pivot

I've only just started my AS physics course and these questions are giving me hell. If someone could at the very least highlight the steps needed to work out the answers that would be much appreciate

Reply 1

steve2005

17

alexmac9

Some questions I've been stuck on:

1.
A particle of weight W rests on a smooth plane which is inclined at 40 degrees to the horizontal . The particle is prevented from slipping by a force of 50N acting parallel to the plane and up a line of greatest slope. Calculate
a) W
b) the reaction due to the plane

Here is my solution for (1) pic 9

Solution (2) pic 10

OP