Venkat
Last Activity: 6 Years ago
At A, at bottom with roller there will be only one reaction force pointing upwards. The roller is free to move in x direction, hence no x- reaction force. Only y-reaction force is present.
At B, the ladder is constrained to move in x and y direction. Hence, reaction force is present in x and y. The reaction force at x is leftwards and in y direcrtion upwards.
Note that W will act at midpoint of ladder.
From equilibrium of forces,
Assume ladder length of ‘l’. When resolved this will give you
as vertical distance, and
for horizontal distance.
Now apply moment equilibrium about B, Take anticlockwise moment due to force is +ve, then,
Negative y means, the force direction is opposite to our assumption of upwards, that is it acts downwards/
Solve it to find B
Hence, force at B acts upwards.