All Questions
18
questions
1
vote
0
answers
26
views
Is there a formal name for the shortest (directed) line segment connecting two skew lines?
Is there a formal name for the shortest (directed) line segment connecting two skew lines? I don't believe the dimension of the space matters so long as it is greater than 2. But I am specifically ...
- 3,349
0
votes
1
answer
34
views
Does the resultant vector stay the resultant vector after the drawing of the transversal?
Question:
Two forces of magnitude $4P$ and $3P$ acting at a point O have a resultant of magnitude $5P$. If any transversal cuts the lines of action of the forces at the points R, S, and T respectively,...
- 3,186
0
votes
1
answer
55
views
Relation between force, vectors and coordinates
I have the following exercise in my math book:
A $1000\,\mathrm{kg}$ barrel hangs from a hoist. At the hoist $AC$ and $BC$ are rods and $DC$ is a steel cable. Determine the forces in the rods and the ...
- 55
0
votes
2
answers
457
views
Closest Two 3D Point between two Line Segment of varied Magnitude in Different Plane
Formula, Explanation And code for this is At this Link Basically This was solved in the StackOverflow question i asked...
Let's say AB1, AB2, CD1, CD2. AB1&AB2 ...
2
votes
2
answers
816
views
Why relative velocity must be perpendicular to velocity of one of the bodies for closest approach
I came across this question that asked the same, but I couldn't understand the reasoning. I feel it wasn't answered clearly, and the OP also sought clarification.
The answer stated,
From a physics ...
- 21
1
vote
1
answer
32
views
Given a plane, is there a vector that points towards the highest dz when moving by dx and dy? What is that vector called?
The question came to my mind when trying to explain snowboarding up a ramp. When you don't use an edge and the snowboard is flat, it is only stable if your momentum is going straight up the ramp. You ...
- 305
-1
votes
2
answers
418
views
Why is the direction of angle theta in circular motion towards and inwards?
Why is the direction of angle $\theta$ in circular motion towards and inwards of plane x-y axis?
I am not getting this concept at all.As the angel theta is changing ; the arc length (s in diagram ) is ...
- 742
0
votes
1
answer
212
views
Few forces applied to body with shifted center of mass. How to find resulting force and torque at central point?
I have body built from few 2d polygons each of them has mass. Forces can be applied to different points of body. How to calculate resulting force and torque at the central point of body (point (0;0) ...
- 189
3
votes
3
answers
237
views
Acceleration of a ball on a plane [closed]
I have a plane ($ax+by+cz+d=0$) in a 3D world, and a gravity vector $\vec{g}$ (say it's $[0, 0, -9.81]$.) How would I find the acceleration vector of an object on this plane, ignoring friction?
- 63
0
votes
4
answers
82
views
When is $\vec{r}(t)=\vec{r}_0+\vec{v}_0t+\frac{1}{2}\vec{a}_0t^2$ an equation of a straight line in 3D space?
Under what conditions $$\vec{r}(t)=\vec{r}_0+\vec{v}_0t+\frac{1}{2}\vec{a}_0t^2$$ is an equation of a straight line in 3D space if $\vec{r}_0,\vec{v}_0$ and $\vec{a}_0$ are all constant vectors?
In ...
- 693
0
votes
1
answer
262
views
magnitude of unknown force on wall bracket question
I'm really stuck with part b of this question, even where to start. I think I keep over complicating it. If anyone could help that'd be amazing!
0
votes
1
answer
77
views
What does the dot product give us?
I am working through some questions and I have an equation for the position vector of a projectile, namely r, and it's given that k is the vector directly vertical to the starting point of the ...
user571032
3
votes
2
answers
739
views
Prove for the time derivative of a vector with constant magnitude
First of all, sorry for my bad English, I have several doubts about the geometric demonstration made by Kleppner for the derivative of a vector that has a constant magnitude, page 25, which is ...
0
votes
1
answer
122
views
Reflection in a tube
My initial query was to find the distance, denoted $a$ from the centre, which a light source radiating in all directions (see below, where centre is represented by a black dot and light source by an ...
- 3
0
votes
2
answers
849
views
Finding the x and y components of a vector that is projected tangent to a circle
Here is a diagram I made for the problem.
There is a very similar question on this website, but there wasn't a clear solution for that one when it came to the components of the vector. They seemed ...
