Elimination on velocities and angles

In summary, the conversation discusses eliminating a variable in a set of equations and finding a solution. The speaker provides a summary of their attempt at solving the problem, including two suggested methods. One suggests replacing the variable values and the other uses the second equation to eliminate the variable.
  • #1
chemic_23
44
0

Homework Statement



How do you eliminate this?

V3(cos A) + V4(cos 30) = 5 Equation 1
V3(sin A) = -(V4)(sin 30) Equation 2
V3^2 + V4^2 = 25 Equation 3


Homework Equations




The Attempt at a Solution



I let

x= V3 ; y=V4

and I got

x(cos A) + y ((sqrt)3) = 10
-2x(sin A) = y
x^2 + y^2 = 25

but I'm totally stuck... any help?
 
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  • #2
Replace value of V4 from 2 in 1 and 3,

Square equation 1 to get expression for angle A,

Replace value of angle A in eq 3 to get value of V3
 
  • #3
chemic_23 said:
x(cos A) + y ((sqrt)3) = 10
-2x(sin A) = y
x^2 + y^2 = 25

Two methods:

i] put x = 5cosB, y = 5sinB

or ii], in this particular case, it seems easier to use the second equation to eliminate y immediately. :wink:
 

FAQ: Elimination on velocities and angles

1. What is the concept of elimination on velocities and angles?

The concept of elimination on velocities and angles is a mathematical process used to solve problems involving motion and forces. It involves using equations and principles of physics to eliminate variables and solve for unknown quantities.

2. How is elimination on velocities and angles used in scientific research?

Elimination on velocities and angles is used in scientific research to analyze and predict the behavior of moving objects, such as projectiles and celestial bodies. It is also used to design and optimize systems that involve motion, such as spacecraft trajectories and sports equipment.

3. What are some common equations used in elimination on velocities and angles?

Some common equations used in elimination on velocities and angles include the equations of motion (such as the kinematic equations), Newton's laws of motion, and the equations for projectile motion.

4. Can elimination on velocities and angles be applied to real-world situations?

Yes, elimination on velocities and angles can be applied to real-world situations. It is commonly used in fields such as engineering, physics, and astronomy to solve problems and make predictions about the behavior of objects in motion.

5. What are some challenges or limitations of using elimination on velocities and angles?

Some challenges or limitations of using elimination on velocities and angles may include the complexity of the equations involved, the need for accurate and precise measurements, and the assumption of ideal conditions (such as no air resistance). It may also be difficult to account for all variables and factors that may affect the motion of an object.

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