Vector problem, magnitude of the force

In summary, the conversation discusses determining the magnitude and components of a force P directed along line CB. The horizontal component is given as 1237 N and can be found using the SOH-CAH-TOA formula. The conversation includes a drawing of a right triangle with P as the hypotenuse and the horizontal and vertical components labeled as Px and Py. The correct solution is found and the conversation ends with a thank you for the help.
  • #1
sHatDowN
52
7
Homework Statement
vector problem
Relevant Equations
Vector
Member CB of the vise shown exerts on block B a force P directed along line CB. Knowing that P must have a (1237) N horizontal component, determine (a) the magnitude of the force P, (b) its vertical component

1677425614750.png


i don't get it what the "N horizontal component"
 
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  • #2
N is Newtons.
 
  • #3
Frabjous said:
N is Newtons.
horizontal component
i mean this one
 
  • #4
Draw force P in the drawing then find its horizontal component.
 
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  • #5
kuruman said:
Draw force P in the drawing then find its horizontal component.
exactly that's my problem what the P force
 
  • #6
sHatDowN said:
horizontal component
i mean this one
The horizntal component is given as 1237 N. "N" is the unit for force in SI, newton.
 
  • #7
sHatDowN said:
exactly that's my problem what the P force
sHatDowN said:
a force P directed along line CB.
Can you draw this?
 
  • #8
kuruman said:
Can you draw this?
1677428979875.png

is it correct?
 
  • #9
Do you know how to find the horizontal component of P?
 
  • #10
Frabjous said:
Do you know how to find the horizontal component of P?
No
 
  • #11
sHatDowN said:
No
Can you draw a right triangle with P as the hypotenuse where the other two sides are vertical (label this one Py) and horizontal (label this one Px)?
 
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  • #12
jbriggs444 said:
Can you draw a right triangle with P as the hypotenuse where the other two sides are vertical (label this one Py) and horizontal (label this one Px)?
1677434290537.png
 
  • #13
View attachment 322903
Can you label the hypotenuse as P?

What are the three angles for this triangle? Can you fill in those measures on the drawing?

If you wanted to know the length of ##P_x## and you knew the length of the hypotenuse ##P##, can you think of a useful formula?
 
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  • #14
jbriggs444 said:
If you wanted to know the length of ##P_x## and you knew the length of the hypotenuse ##P##, can you think of a useful formula?
1677436514733.png
 
  • #16
kuruman said:
Sorry sir but we don't have any length of p-x or p-y.
 
  • #17
I find p-x=1013.29 and p-y=709.51
is it correct?
 
  • #18
The given value of 1237 N is one of ##P_x##, ##P_y## or ##P##. Which one do you think it is?
 
  • #19
kuruman said:
The given value of 1237 N is one of ##P_x##, ##P_y## or ##P##. Which one do you think it is?
Yes sorry sir i find out please check .
 
  • #20
sHatDowN said:
Yes sorry sir i find out please check .
I don't understand what you mean by this. Please post a drawing of the triangle like you have in post #14 with the label 1237 N next to the side that you think corresponds to it.
 
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  • #21
kuruman said:
I don't understand what you mean by this. Please post a drawing of the triangle like you have in post #14 with the label 1237 N next to the side that you think corresponds to it.
1677438322371.png
 
  • #22
sHatDowN said:
Knowing that P must have a (1237) N horizontal component,
Is what you have labeled with 1237 N the horizontal component of P?
 
  • #23
kuruman said:
Is what you have labeled with 1237 N the horizontal component of P?
Yes i think.
 
  • #24
Below is a picture of the horizon. Which line do you think best describes the horizontal direction?

(A) From left to right.
(B) From top to bottom.
(C) From top left corner to bottom right corner.

Horizon.jpeg
 
  • #25
kuruman said:
Below is a picture of the horizon. Which line do you think best describes the horizontal direction?

(A) From left to right.
(B) From top to bottom.
(C) From top left corner to bottom right corner.

View attachment 322907
obviously A
 
  • #26
sHatDowN said:
obviously A
Obviously. Now look at my question in post #22 and your answer in post #23.
 
  • #27
kuruman said:
Obviously. Now look at my question in post #22 and your answer in post #23.
Yes Sir Sorry,I was on mistake.
 
  • #28
sHatDowN said:
Yes Sir Sorry,I was on mistake.
OK, then fix your mistake and post the correct solution.
 
  • #29
1677439743969.png

kuruman said:
OK, then fix your mistake and post the correct solution.
 
  • #30
That looks correct.
 
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  • #31
then we solved sample problem.
Thanks for your help.
 

Related to Vector problem, magnitude of the force

What is the definition of a vector in physics?

A vector in physics is a quantity that has both magnitude and direction. Examples include displacement, velocity, acceleration, and force. Vectors are typically represented by arrows, where the length of the arrow indicates the magnitude and the direction of the arrow indicates the direction of the vector.

How do you calculate the magnitude of a vector?

The magnitude of a vector can be calculated using the Pythagorean theorem if the vector components are known. For a vector \( \mathbf{v} = (v_x, v_y) \) in two dimensions, the magnitude is given by \( |\mathbf{v}| = \sqrt{v_x^2 + v_y^2} \). In three dimensions, for a vector \( \mathbf{v} = (v_x, v_y, v_z) \), the magnitude is \( |\mathbf{v}| = \sqrt{v_x^2 + v_y^2 + v_z^2} \).

What is the significance of the magnitude of a force vector?

The magnitude of a force vector represents the strength or intensity of the force being applied. It is a scalar quantity and is measured in units of force such as newtons (N). The larger the magnitude, the stronger the force. This is crucial in determining the effect of the force on an object, such as how much it will accelerate or deform.

How can you find the resultant force when multiple forces are acting on an object?

To find the resultant force when multiple forces are acting on an object, you need to perform vector addition. This can be done by breaking each force into its components, summing the components in each direction, and then recombining these summed components to get the resultant vector. For example, if two forces \( \mathbf{F}_1 = (F_{1x}, F_{1y}) \) and \( \mathbf{F}_2 = (F_{2x}, F_{2y}) \) are acting on an object, the resultant force \( \mathbf{F}_R \) is given by \( \mathbf{F}_R = (F_{1x} + F_{2x}, F_{1y} + F_{2y}) \).

What tools or methods are commonly used to measure the magnitude of a force in a laboratory setting?

In a laboratory setting, tools such as force sensors, spring scales, and dynamometers are commonly used to measure the magnitude of a force. These instruments can provide readings in newtons or other units of force. Additionally, experimental setups may involve using pulleys, levers, or other mechanical systems to measure and analyze forces indirectly.

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