Motion Problem: Struggling with Angle w.r.t Wall

In summary, the conversation is about a motion problem where the task is to find the angle with respect to a wall, given the velocity components. The person had trouble finding the angle using the inverse tangent method but was advised to use the kinematic equations to find the time and speed components first.
  • #1
Garen
28
0
Motion Problem!

Homework Statement



1znxspd.png


The Attempt at a Solution



Okay, so I got number one (6.36904) but I'm having real trouble getting the angle w.r.t the wall. At first I thought of taking the t (from
horizontal_displacement_equation.png
)[/URL] then multiplying it by the acceleration to get the y component of the velocity. I then thought of taking the inverse tangent of (5.5/Vy). But I am not sure if it is right. Did I do something wrong?
 
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  • #2


Yes, you do want something like tan(angle) = vx / vy. This gives you the angle between your vector and the vertical direction (the wall is vertical).
 
  • #3


Can please be a little more specific?
 
  • #4


You need the x and y components of the velocity and then you can use your tangent method.
 
  • #5


Kurdt said:
You need the x and y components of the velocity and then you can use your tangent method.

That's what I was trying to do, but is my method of getting the y component of the velocity (listed above) right? Or was I supposed to use another method?
 
  • #6


You'll have to use some kinematic equations. You need to find the time it takes to hit the wall and then the speed it will be traveling in the vertical direction due to that acceleration after that time. If you got the first part correct then you should already know both components surely?
 

FAQ: Motion Problem: Struggling with Angle w.r.t Wall

What is the concept of "angle w.r.t wall" in motion problems?

The phrase "angle w.r.t wall" refers to the angle between an object's motion and a wall or other fixed reference point. It is commonly used in physics or engineering problems to calculate the trajectory or direction of an object's motion relative to a surface.

How do you calculate the angle w.r.t wall in a motion problem?

The angle w.r.t wall can be calculated using trigonometric functions such as sine, cosine, or tangent. The specific formula will depend on the given information and the type of motion, but generally involves finding the ratio of the object's vertical and horizontal displacement.

What is the importance of considering the angle w.r.t wall in motion problems?

Calculating the angle w.r.t wall is crucial for accurately predicting an object's motion and trajectory. It helps determine the direction, speed, and forces acting on the object, which are essential for understanding and controlling its movement.

Can the angle w.r.t wall change during an object's motion?

Yes, the angle w.r.t wall can change as an object moves. This is because the object's position and direction can change, leading to a different angle relative to the wall. However, the initial angle w.r.t wall can often be used as a reference point for calculating subsequent angles.

How can understanding the angle w.r.t wall help in real-life situations?

Understanding the angle w.r.t wall can be useful in various real-life situations, such as designing buildings, launching rockets, or playing sports. It allows us to predict and control the motion of objects and ensure they move in the desired direction without colliding with obstacles.

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