How do I find the components of a vector parallel to the x-axis?

  • Thread starter Thread starter jpierson
  • Start date Start date
  • Tags Tags
    Components Vector
AI Thread Summary
To find the components of a vector parallel to the x-axis, recognize that it will only have an x component and no y component. The x component is equal to the length of the vector itself. Trigonometric functions are not necessary in this case since the vector's direction is aligned with the x-axis. This simplifies the calculation, as the y component is zero. Understanding this concept is crucial for solving related physics problems effectively.
jpierson
Messages
2
Reaction score
0
Hi --

I'm working on a physics problem that involves adding several vectors. I know that to find the components of a vector you must do some trig with the angle the vector makes with the x-axis. However, one of the vectors is parallel to the x-axis (but not actually laying ON the x-axis). I'm not sure where to go from there; how to find its components. I tried a few things, but none of them seem to give me the correct answer.

Can anyone help me out with this?
 
Physics news on Phys.org
The vector will simply have an x component and no y component.
 
Hmm, ok. Will the x component just be the length of the vector then?
 
Yes, you're right.
 
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}...
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Back
Top