(1) From AG=OG since they are diagonals, so AOG = GOA = 45° because AGO = 90° which is caused by intersecting of two diagonals. So OG makes 45° angle to the left inclined plane.
(2) Circular path?
The other diagonal passes through the mass centre of plate.
I have drawn the left end plate going down and the other going up. The mass centre of the new diagram is located at same position of the first diagram. Right?
Ah, I see. So the NA makes α angle with vertical direction or 90° to the left inclined plane.
(2) I understand that you meant slope of both planes, if I understand correctly I think there is a angle which make this system possible. Because there are normal forces to make it become steady.
(1) Isn't NA perpendicular to the plate? It looks same as a typical rectangular object on a inclined plane problems
(2) I think I found the angle which plate makes to the horizontal now, it is 90-β.
But I don't know how to find the answer to your latest questions.
(1) I think the angle that NA makes to plate is 90 because it's normal force.
(2) I see.
(3) I really can't find the angle which the plate make to the horizontal. Could you give me a hint please?
Homework Statement
A thin stiff uniform rectangular plate with width L (L =AB) is lying on two inclined surface as shown in Fig. 3-1. The angle between the horizontal surface and the left inclined surface is α, and that between the horizontal surface and the right inclined surface is β. It is...