Get path points on applied impulse - unity3d

I added impulse to GameObject like
rigidbody.Addforce( SomeVector3, ForceMode.Impulse);
and my gravity multiplier is 4. How to calculate points of my path before I apply that impuls on body ?
I have all data like mass, gravity multipiler and so on and I would like to draw that path before apply impulse so I need number of points.

Using common physics you are of course able to predict the path the object will go. The problem is, your formulas, ticking etc. will most likely not exactly be the same as the ones Unity uses internally, so your results won't be exact.
Only thing I can think off is having a second, invisible, version of your GameObject and apply the impulse to it and track its position, then display the resulting path for your visible GameObject. You might consider accelerating Unity's time using Time.timeScale during prediction, so you don't have to wait too long for the simulation's results.

Related

Why a big moving attractor object gives a slingshot to other object with using gravity formula rather than holding it?

I have a big spherical Gameobject which moves forward in 3D with constant velocity. I have other spherical objects that other big object needs to attract to itself. I am using Newton's law of universal gravitation formula to attract other objects, but as expected, other objects are doing a slingshot movement much like the space shuttles doing when needed with other planets' orbits to accelerate.
I actually want a magnetic effect that without taking the masses into account, all other objects will be catched by the big object. How can I do that? Do I need a different formula? Or do I need to change the movement behavior of the objects altogether?
If I got it right you expect to have something like this: https://www.youtube.com/watch?v=33EpYi3uTnQ
You can do a spherical raycast or have an sphere collider as trigger to detected the objects that are inside of your magnetic field.
Once you know those objects you can calculate the distance from each of them to the magnetic ball.
You can make an inverse interpolation to know how much strength/"magnetism" is getting into that object.
Then you can apply some force on the attracted object towards the magnetic ball's center.
Something like this algorithm:
var objectsInsideField = ListOfObjects;
foreach (o in objectsInsideField) {
var distance = (o.position - center.position).magnitude;
var strength = distance / fieldRadius; // fieldRadius == spherical radius
o.AddForce(dir: o.position - center.position, strength: strength)
}
Of course, you need to do some adjustments and probably add some multipliers to make the force to be meaning.
The final result should be: for each sequential frame, if the object is inside the magnetic field it moves towards the center a bit. The next frame it should be even close to the center so the strength is even bigger.. and so and so.
First of all, since the big objects is moving with constant velocity, a coordinate frame with axes parallel to the axes of the original coordinate system will be moving uniformly with constant velocity, so this new moving coordinate system is also inertial and you can write all your equations of motion in it, calculate everything with respect to it, and at the end you add the uniform movement to the results. The benefit is that the big object is stationary in this coordinate system, so simpler physics applies.
The slingshot effect occurs most likely because your objects are treated as mass-points, rather than bigger 3D entities (like spheres), for which the centers of mass never get too close enough. Hence maybe some sort of collision detection may eliminate this problem, especially if you decrease significantly or kill completely the elastic collision resolution.
All of what I am saying is a bit speculative as I have no access to details.

Unity: Create AnimationClip With World Scale AnimationCurves

I've been looking for a solution to this for quite a while now (meaning several days) and I haven't found anything yet. Maybe I'm thinking about it wrong and there isn't a way, but let's try!
I'm recording hand-data on a Hololens (the Unity Hololens Input Simulation for now). This essentially gives me one float AnimationCurve for each hand joint for each transform.position.x to z and rotation.x to w. Now my goal is to put these curves into an AnimationClip and add it to an AnimatorController (via an AnimatorOverrideController) that animates a hand rig and replay the recordings. Everything so far works!
However, the recorded hand-data from the Hololens is in world scale, not in local scale. (which makes sense, since you usually want absolute coordinates when you want to know where the hand is.) But to animate the hand, it seems I'm only able to set local coordinates, which I don't have.
Example:
clip.SetCurve("", typeof(Transform), "localPosition.x", curve.PositionX);
Here, the clip takes the the x-coordinates from some hand joint and puts it to the localPosition.x of the corresponding hand rig joint. The problem: curve.PositionX is world-scale (absolute coordinates), but localPosition.x takes local-scale (coordinates relative to its parent).
I can't simply change "localPosition.x" to "position.x", like so:
clip.SetCurve("", typeof(Transform), "position.x", curve.PositionX);
even though the Transform class has both properties and position is the object's world scale position. I'm not sure why this doesn't work, but it gives me the following error:
Cannot bind generic curve on Transform component, only position, rotation and scale curve are supported.
I'm aware that it doesn't make much sense to use absolute coordinates for an animation, but I simply don't have anything else.
Does anyone have an approach how I can deal with this in a sensible, not-too-cumbersome way? It seems I have all the important parts, I just can't figure out how to put them together. Thanks so much already! :)
From my basic understanding, it seems like you are using the Input animation recording service provided by MRTK. Unfortunately, MRTK does not provide the localPosition version of Curves data. However, you can modify the data from the recordingBuffer after the InputRecordingService stops recording.
So, this is a method worth trying for you: in the handJointCurves dictionary property of recordingBuffer field, a set of pose curves is stored for each joint. And then, base on this table:Joint pose curves, subtract the position value of the key None from the position value of each other joint in every key frame so that the localPosition based on the key None is obtained.

How does SpriteKit physics move bodies?

How does SpriteKit's physics engine (Box2d) move bodies and apply gravity to them?
is it just the standard:
velocity = velocity + gravity
position = position + velocity * deltaTime
or is there a more complex equation.
I ask this because I am trying to calculate the trajectory of the body and plot it.
Simplified, this is correct. However there can be other forces acting on a body (collisions, joints) and thresholds (ie stop moving if velocity below threshold, etc) and floating point rounding errors can add up.
So if you're looking for a forward calculation it depends on how precise it needs to be.
The most precise option would be to actually run the simulation to advance it to see where bodies will be - however since SK doesn't give you the Box2D sources this can't be done, ie you can't copy the world state and advance it manually in a copy of the current world.

Unity physics about collision and energy

I have been working on a Unity ping pong game using the Leap Motion. I use rigidbody.MovePosition() to move the paddle. However, when I hit the ball (which uses gravity), the paddle launches it too far. Even when I change the masses of both, it doesn't do anything.
What variable should I change to reduce this energy going into the ball?
From the following link.
"MovePosition will put your object at the target location, no matter what. It may push aside other objects in a realistic way, or may blast them out of the way, or may just pass right through them. But it will gladly move you through a solid wall or a mountain.
If you're using MovePosition on a rigidbody to add from where you currently are, it looks like AddForce. With AddForce, the physics step does all the work: applies your velocity, sees the collision and handles the bounce. With MovePosition, the physics step sees you're mysteriously overlapping a solid object. If it isn't too much, it will bounce you apart."
You won't need to use MovePosition. Instead, you can figure out the direction of the shot (based on the position of the ball relative to the paddle). Then you can add an impulse force in that direction to the ball.
Pseudo-code (from the following link):
Vector3 shootDir = ballPosition - paddlePosition; // Calculate direction of the shot
shootDir.Normalize(); // Normalize the shot vector
ball.AddForce(shootDir * speed, ForceMode.Impulse); //Add impulse force in correct direction.
Credit due to Owen Reynolds and Tim Michels.

Slope limit on player movement

I use Unity3D and I have a player with a rigidbody. I add force tto the body for moving the player. My player walks over a terrain but is able to walk up mountains that are to steep to climb. I want to limit the player so it cannot walk up a slope that is to steep.
I know there is a CharacterController component that has this functionality, but I have to use the rigidbody, so I want the same but on my rigidbody.
I can get the normal of the triangle I am standing on, and calculate its angle, but I cannot seem to make the player stop moving up the slope. Only make the player stop moving (which makes the player unmovable once it hits a angled slope)
Any ideas how to solve this problem?
It's difficult to answer without more details on how you're using the physics engine. How/Are you using friction? What angle are you applying the force? Is it always horizontal or at the angle of the floor? Does the player have a mass?
Anyway I can think of a few ways to solve this
Go the pure physics route. Using player mass, friction, force angle, gravity, etc. Get the physics to handle these situation for you. This may take a fair amount of time and programming.
Keep the rigid body but fake the forces. Scale the force you are applying to the body of the player with the angle of the triangle the player is on. You can either use trigonometry to work out what you should apply or your own mapping. By your own mapping I mean set an angle where 0 force is applied (say 45 degree) and do a linear(or non linear) scale on the force applied so on flat ground force is 1 and at 45 force is 0.
Don't use rigid bodies. There is a reason most games don't use rigid bodies to control characters. It's hard and complicated and most of the time not worth the time it would take. Of course I don't know the details of your project so if this isn't an option, fine.
Hope that gives you some things to think about.