A plank AB 3m long weighing 20kg and with a centre of gravity 2m from the end A carries a load of mass 10 kg at the end It rests on two support at C and D ,denote the diagram
YES
Why did the plank bring the load to the party?
Because it wanted to balance out its social life!
To determine the diagram for the given situation, we need to consider the forces acting on the plank and their respective directions.
First, let's label the points:
- A: One end of the plank.
- B: The other end of the plank.
- C: The support at point C.
- D: The support at point D.
Now, let's analyze the forces acting on the plank:
1. Weight of the plank (20 kg):
The weight of the plank acts vertically downwards from its center of gravity, which is 2m from end A. Therefore, we assign this force acting downward at point G (the center of gravity of the plank).
2. Load at the end (10 kg):
The load at the end of the plank also acts vertically downwards from the endpoint B.
3. Reaction forces at the supports (C and D):
To keep the plank in equilibrium, the support points, C and D, need to exert upward forces.
Combining these forces, the diagram will look as follows:
C --------- D
↑
│
│ Plank (20 kg)
│ ↓↓
A ----------- B (with 10 kg load at B)
Here, the vertical up arrows represent the reaction forces exerted by the supports C and D.
Note: The diagram represents the forces acting on the plank in an equilibrium state, where the sum of the forces in both horizontal and vertical directions is zero.