00:01
This question we have been told that bucket a and block c are connected by a cable and we need to determine the smallest value of the mass of bucket a such that the block c will start moving up the inclined plane.
00:13
So first of all, we need to draw a free body diagram.
00:19
So we know that the weight of the bucket will act downwards and to counter it, the tension will act upwards.
00:27
We'll call this tension t and also a tension.
00:31
Tension will act upwards here and the weight of the block c will act vertically downwards so we will divide the weight into two components so the first component is this it will act perpendicular to the plane to the inclined plane this is w cost theta and the the other component will be w sine theta so so to the normal force will act vertically upwards and perpendicular to the inclined plane.
01:23
We call this n normal force.
01:26
And we know that we want the bucket to move up the inclined plane.
01:30
So the frictional force will act to oppose it.
01:33
So the frictional force will be opposite to the motion.
01:35
So the frictional force direction will be in this.
01:38
So now we have drawn up.
01:40
We have shown all the forces.
01:43
So we need to find out.
01:44
Now first of all we will write the equations...