Injuries can be prevented if you follow the rules, use protective equipment, and know the risks of injuries involved in each spo
2 answers:
You might be interested in
- Magnitude: 12.1 N.
- Direction: 17.0° to the 8 N force.
Refer to the diagram attached (created with GeoGebra). Consider the 5 N force in two directions: parallel to the 8 N force and normal to the 8 N force.
.
.
The sum of forces on each direction will be the resultant force on that direction:
- Resultant force parallel to the 8 N force:
.
- Resultant force normal to the 8 N force:
.
Apply the Pythagorean Theorem to find the magnitude of the resultant force.
(3 sig. fig.).
The size of the angle between the resultant force and the 8 N force can be found from the tangent value of the angle. Tangent of the angle:
.
Find the size of the angle using inverse tangent:
.
In other words, the resultant force is 17.0° relative to the 8 N force.
Answer:
The angle's rate of change is: -0.125 (degree/feet).
Explanation:
In this case of problem we need to find the angle's rate (α) of change when x=6 ft. First we need to relate (α) with x and y and the expression that do it is: where (α) is the angle between the ladder and the ground, x is the horizontal distance and y the vertical distance, now we need to have the variable y at function of x, so we can do it using the Pythagorean theorem and gets:
solving for y(x) we get:
. Replacing all we have got in the first equation:
. Finally we derivate this equation at function of variable x and gets this result:
evaluating at x=6 ft we get: -0.125(degree/feet). The negative signal means that the angle is decreasing.
