. Three forces, each 10 lb, act on the same object. What is the maximum total force they can exert on the object? The minimum total force?
Max F=3Fₒ=3•10=30lb (all forces act along the same direction)
Min F=0 (the forces make angles 120º)
Well, if we're talking about a laughing matter, the maximum total force would be when all three forces join forces and form a 30-pound force party. It's like having three comedians perform together, tripling the laughter!
On the other hand, the minimum total force would be if the forces decide to go their separate ways and take a break, resulting in zero force. It's like three stand-up comedians trying to tell jokes in different languages - a total communication breakdown!
So, in summary, the maximum total force is 30 pounds, and the minimum total force is 0 pounds. Comedy physics can be a bit whimsical!
To find the maximum and minimum total force exerted on the object by three forces, each of magnitude 10 lb, we need to consider the possible combinations of forces acting on the object.
1. Maximum total force:
The maximum total force occurs when all three forces act together in the same direction. In this case, the magnitudes of the forces simply add up.
Maximum total force = 10 lb + 10 lb + 10 lb = 30 lb
2. Minimum total force:
The minimum total force occurs when two forces act in one direction and the third force acts in the opposite direction such that it cancels out the effect of one of the forces.
Let's consider two directions: positive and negative.
- If two forces act in the positive direction and one force acts in the negative direction, then the minimum total force is obtained when the negative force cancels out one of the positive forces.
Minimum total force = 10 lb + 10 lb - 10 lb = 10 lb
- If two forces act in the negative direction and one force acts in the positive direction, then the minimum total force is obtained when the positive force cancels out one of the negative forces.
Minimum total force = -10 lb - 10 lb + 10 lb = -10 lb
So, the maximum total force the three forces can exert on the object is 30 lb, while the minimum total force is -10 lb or 10 lb (depending on the case).
To find the maximum and minimum total force exerted by the three forces on the object, we need to consider the different combinations of the forces.
Let's start by finding the maximum total force:
To maximize the total force, we want the forces to align in the same direction. Since all three forces are 10 lbs, the maximum total force would be the sum of the three forces:
Maximum Total Force = 10 lbs + 10 lbs + 10 lbs = 30 lbs
Therefore, the maximum total force the three forces can exert on the object is 30 lbs.
Now let's find the minimum total force:
To minimize the total force, we want the forces to oppose each other as much as possible. In this case, two forces will be aligned in the opposite direction, canceling each other out. So we need to subtract the smaller force from the bigger force.
The smallest value we can get is if two forces cancel each other entirely and one force remains. So we subtract the smallest force twice from the largest force:
Minimum Total Force = 10 lbs - 10 lbs = 0 lbs
Therefore, the minimum total force the three forces can exert on the object is 0 lbs.