Physics: Vector Help - Magnitude & Angle Calculations

  • Thread starter Thread starter buffgilville
  • Start date Start date
  • Tags Tags
    Physics Vector
AI Thread Summary
To find the equilibrant vector of a resultant vector measuring 5 units at an angle of 23 degrees, it is necessary to determine that the equilibrant has the same magnitude but an angle of 203 degrees, as it is opposite in direction. For the vector with a magnitude of 8.73 units at an angle of 155 degrees, the x-component is calculated using the formula F*cos(x) and the y-component using F*sin(x). The confusion surrounding counter-clockwise angles is clarified: counter-clockwise angles are considered positive while clockwise angles are negative. Understanding these conventions is crucial for accurately calculating vector components and magnitudes. Proper application of these principles will lead to correct vector analysis.
buffgilville
Messages
91
Reaction score
0
Can someone please help me with this?
1) A resultant vector is 5 units long and makes an angle of 23 degrees measured counter-clockwise with respect to the positive x-axis. What are the magnitude and angle (measured counter-clockwise with respect to the positive x-axis) of the equilibrant vector?

2) Find the x- and y-components of the vector whose magnitude is 8.73 units making an angle of 155 degrees measured counter-clockwise with respect to the positive x-axis.
 
Physics news on Phys.org
These kinds of questions have already been answered, look at some other posts.

Think of the fact that the x-component of a vector of magnitude F and angle x with the x-axis is
equal to F*cos (x). The y-component is F*sin(x)

Once the components are given you can work the other way around and determin the magnitude of the vector as F = sqrt(x² + y²)

regards
marlon
 
But what does the counter-clockwise mean? Does it mean that the angle is negative? I'm confused.
 
Last edited:
Clockwise means a negative angle, and counter-clockwise means a positive angle.
 
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