# Vector sample problem -- Force components on a spring mechanism

• sHatDowN
In summary, the conversation discusses determining the amount and type of spring force needed to create a resulting vertical force. The suggested calculation involves resolving the force into its horizontal and vertical components, and using vector addition to determine the resultant force. The final conclusion is that the spring must apply a force of -60 lbs and will be in compression to produce the desired vertical force.
sHatDowN
Homework Statement
Resolve to its component
Relevant Equations
Determine the amount and type (tensile or compressive) of the spring force so that the resulting force is a vertical force. Also get the resultant force.

i find 60N (compressive)
and resultant forces is 10800
is that correct?

sHatDowN said:
Homework Statement:: Resolve to its component

Determine the amount and type (tensile or compressive) of the spring force so that the resulting force is a vertical force. Also get the resultant force.

View attachment 323126

i find 60N (compressive)
and resultant forces is 10800
is that correct?
The exerted force is given in lb, not N.
How did you determine the spring is compressed?
How did you calculate the resultant?

MatinSAR
haruspex said:
How did you determine the spring is compressed?
First, i calculate Fx,Then we apply opposite force.
haruspex said:
How did you calculate the resultant?
R=F2+Fx2-2(F)(Fx)cos120

Actually,Its √10800
=103.92

sHatDowN said:
Actually,Its √10800
=103.92

Your magnitude is ok. I would have just noted that for ##R## to be vertical the force applied by the spring is opposite the component of ##F## in the horizontal direction ##{}^+ \leftarrow, {}^+ \downarrow##:

$$F_s = - F \cos 60° = -60 ~[\rm{lbf}]$$

$$R = F \sin 60° = 60 \sqrt{3} ~ [\rm{lbf}]$$

Which is what you have.

However, is the spring in tension or compression when it is applying the force ##F_s##?

Last edited:
sHatDowN
sHatDowN said:
... Determine the amount and type (tensile or compressive) of the spring force so that the resulting force is a vertical force.

The represented guide for that wheel (pushing or pulling the spring) is limiting the direction in which the spring is receiving any force, which is horizontal, rather than vertical.

sHatDowN
Lnewqban said:

The represented guide for that wheel (pushing or pulling the spring) is limiting the direction in which the spring is receiving any force, which is horizontal, rather than vertical.
Yes, you right thanks alot

Lnewqban

sHatDowN
Yes, thanks alot.

Lnewqban
Lnewqban said:

The represented guide for that wheel (pushing or pulling the spring) is limiting the direction in which the spring is receiving any force, which is horizontal, rather than vertical.
You misunderstand the question. It is asking what horizontal force from the spring will produce a vertical force when combined with the applied force F (and whether the spring will be in tension or compression). Which is a complicated way of asking for the force on the spring in equilibrium.

## 1. What is a vector sample problem?

A vector sample problem is a type of mathematical problem that involves the use of vectors, which are quantities that have both magnitude and direction. These problems often require the use of trigonometry and other mathematical concepts to solve.

## 2. What is a spring mechanism?

A spring mechanism is a device that uses the elastic properties of a coiled spring to store and release energy. It is commonly used in various applications, such as in mechanical watches, car suspensions, and door hinges.

## 3. How do you find the force components on a spring mechanism?

To find the force components on a spring mechanism, you need to first determine the magnitude and direction of the force acting on the spring. Then, you can use trigonometric functions to calculate the horizontal and vertical components of the force.

## 4. What factors affect the force components on a spring mechanism?

The force components on a spring mechanism can be affected by various factors, such as the magnitude and direction of the applied force, the length and stiffness of the spring, and any external forces acting on the system.

## 5. How can vector sample problems involving spring mechanisms be applied in real-life situations?

Vector sample problems involving spring mechanisms can be applied in many real-life situations, such as designing and analyzing mechanical systems, understanding the behavior of elastic materials, and predicting the motion of objects subjected to forces. They are also commonly used in engineering and physics fields.

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