Another Magnitude and Direction of resultant force ?

In summary, the conversation discussed finding the maximum and minimum net force when combining two given forces. It also discussed finding the magnitude and direction of the resultant force when the forces are perpendicular. Using vector addition, it was determined that the maximum net force is 25 N and the minimum net force is -5 N. The resultant force was found to have a magnitude of 18.03 N and a direction of 56 degrees North of East.
  • #1
waterwalker10
17
0
Another Magnitude and Direction of resultant force ?

I'm having issues on the second question. I feel that I'm missing some information. Since the lines are perpendicular do I consider one force (10N) at 90 degrees North? And if this is the case then is the other force (15N) at __ degrees East and solve with the second equation below?

Homework Statement


A - Consider two forces, one having a magnitude of 10N, and the other having a magnitude of 15N. What maximum net force is possible when combining these two forces? What is the minimum net force possible? GOT THIS PART

B - If the forces given in a) above are perpendicular to each other, what will be the magnitude and direction of the resultant force? Given by prof ...requires vector addition.



Homework Equations


R = sqrt(A^2 + B^2)
Ax = cosA, Ay = sinA
tan = y/x


The Attempt at a Solution



Max Net Force
10 N + 15 N = 25 N
Min Net Force
10 N - 15 N = -5 N

Resultant Force of perpendicular lines
[tex]\sqrt{10^2 + 15^2}[/tex]
[tex]\sqrt{325}[/tex] = 18.02775... Magnitude ? Direction would possibly be 18 degrees of North or East?

This is where I get stuck...help??
 
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  • #2


The magnitude is 18.03 N as you have calculated. To find the direction, draw yourself a right triangle with right sides 10 N and 15 N and hypotenuse 18.03 N. Say the 10 N side is due East. Can you figure out how many degrees North of East is the 18.03 N hypotenuse?
 
  • #3


kuruman said:
The magnitude is 18.03 N as you have calculated. To find the direction, draw yourself a right triangle with right sides 10 N and 15 N and hypotenuse 18.03 N. Say the 10 N side is due East. Can you figure out how many degrees North of East is the 18.03 N hypotenuse?

Used SOH CAH TOA here... and got approx 56 degrees North of East.

Hypo = 18.03
Adja = 10
Oppo = 15

sinA 15/18.03 = .832 = 56.299
cosA 10/18.03 = .555 = 56.315
tanA 15/10 = 1.5 = 56.31

Correct?
 
  • #4


Correct. :approve:
 

What is the meaning of "Another Magnitude and Direction of resultant force"?

"Another Magnitude and Direction of resultant force" refers to the combined effect of multiple forces acting on an object, taking into account both their strength (magnitude) and the direction in which they act. This helps determine the overall movement and/or stability of the object.

How is the resultant force calculated?

The resultant force can be calculated by adding together all the individual forces acting on an object. This includes both the magnitude and direction of each force, which must be considered in relation to each other. The resultant force is usually represented by an arrow, with the length and direction of the arrow representing the magnitude and direction of the resultant force.

What happens when the resultant force is zero?

If the resultant force is zero, it means that all the forces acting on an object are balanced and there is no overall movement or change in the object's state of motion. This can occur when two or more forces are equal in magnitude but act in opposite directions, effectively cancelling each other out.

How does the direction of resultant force affect an object's motion?

The direction of the resultant force determines the direction in which an object will move. If the resultant force is in the same direction as the object's initial motion, it will accelerate in that direction. If the resultant force is in the opposite direction, it will decelerate or change direction. If the resultant force is perpendicular to the object's initial motion, it will cause the object to move in a curved path.

Can resultant force be negative?

Yes, resultant force can be negative. This typically occurs when the forces acting on an object are not aligned and are working against each other. In this case, the resultant force will have a negative value, indicating that the object will move in the opposite direction of the resultant force.

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