Force , Resultant Force, Magnitude & Direction

AI Thread Summary
The discussion focuses on calculating the resultant force from a system of forces acting on an object in different directions. To determine the magnitude and direction of the resultant force, one must first analyze the forces with respect to the horizontal axis. The components of each force are calculated using trigonometric functions, leading to the sums of the x and y components. The resultant force is then found using the Pythagorean theorem, and the angle is determined using the tangent function. Understanding these calculations is crucial for accurately representing the effects of multiple forces on an object.
BaLTHEBEAST
Messages
3
Reaction score
0
Figure 1a shows a system of forces is pulled an object on different directions.

1a) Determine the magnitude and direction of the resultant force for the system of forces shown.


1b) Explain the changes of magnitude and direction of resultant force for the system of forces based on the data in Table 1. Show your changes for each force F2 and F1 .

http://img832.imageshack.us/i/scan0023z.jpg/

That link is the picture for Table 1 and Figure 1a.

Please help. I appreciate your help! Advanced thanks from me!
 
Physics news on Phys.org
BaLTHEBEAST said:
http://img832.imageshack.us/i/scan0023z.jpg/

For easy,

(1)First find up the degree respect for horizontal-x.

(2)Find the components-xy for each forces:

(i)Rx=∑Fx=F4cos(90-42)+F3cos(35)+...
(ii)Ry=∑Fy=F4sin(90-42)+F3sin(35)+...

(3)Finally, find the resultant R=√(Rx2+Ry2)

And sketch the diagram for resultant R to find up its angle:

tanθ=Rx/Ry
 
Last edited:
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

To find the resultant of forces on a lamina
Replies
5
Views
3K
How to calculate the magnitudes of three forces around a hexagon
Replies
17
Views
2K
Forces proportional to the sides of a quadrilateral result in a couple
Replies
5
Views
1K
Uncertainty Error and Significant Figures in this Force Tables Lab
Replies
4
Views
2K
Calculating Net Force on a Wheel: Magnitude and Direction | 0.350 m Radius
Replies
4
Views
2K
To find the magnitude of the resultant of forces around a triangle
Replies
4
Views
2K
Solving Part (b): Find F3, F4, F1 and F2
Replies
7
Views
2K
Torque and forces (Beginner level)
Replies
14
Views
3K
Solving Cart Force Question: Magnitude & Direction
Replies
21
Views
7K
Hydrostatics Pressure - Finding thrust and resultants
Replies
1
Views
2K

Hot Threads

Recent Insights

Back
Top