Motion Definition and 999 Threads

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First, we construct a simple pendulum, the length of the rope remains unchanged and the object being swung is doing circular motion. If it is released from point D and reaches point F, we set: The length of the rope (i.e the pendulum length) is L, ∠FCB=90°, ∠DCF=β, ∠ECF=α, the mass of the...

I calculated the average speed (100/5=20) and assumed that the speed at 100 m would be double that (20*2=40), since the speed starts at zero. Then i used the formula for acceleration with time and velocity (a = (vf − vi) / Δt) and got the following answer: a=(40-0)/5=8 m/s/s. This answer makes...

I don't know how to solve projectile motion problems when there was no initial velocity given, also no final velocity, or time. Please help😭

Now, I can calculate the velocity of the block using the concept of pseudo force (which here is the centrifugal force), and newton's second law i.e F=ma but, I don't understand why should this block move I mean in the non-inertial reference frame the reason can be given by the centrifugal force...

Does the symmetry of motion in the special theory of relativity correspond to the real physical state? I assume that the principle of symmetry of motion leads to the following consequences: Observers in relative motion cannot definitively determine which one is "at rest" and which is "in...

This is just the object which is thrown theta angle below rhe horizontal. I fail to understand how to get the individual range of this. I tried but I am getting zero, can someone point out what is wrong in my method So ##R=ucos\theta*t ## ##\frac{h}{R}=tan\theta## Therefore ##h=Rtan\theta## We...

Here I'm not worried about the solution as I got it. There are two ways I could come up with: Either finding the time it takes the cat to leap through the window, use that time to find what distance does the dog cross through the room Or: finding both times, for the dog and the cat to cross the...

This is my solution below.

When I used differential equation techniques, I found the function of x and v to be a negative exponential function. However, based on the notes, I believe the problem wants me to use finite summations as the relevant equations above. This stumps me because the acceleration is dependent on the...

Gravity is considered as a bending of spacetime due to massive objects. And hence other objects around the curvature follow a geodesic path. My question is, why do they follow the path? Can't they be stationary? What's the cause behind objects even moving in the first place? I sometimes hear the...

Hello! I have this problem from an old exam I'm trying to solve. The problem is in Swedish so I've translated it: NOTE that I accidentaly wrote $$C\neq 1$$ in the picture below. The correct problem statement is above. But that part is not what I have problems with. The answer key says "if the...

So far I believe that speed changes during vertical circular motion, and its very hard to get uniform circular motion that is in the vertical plane. This is because there is a difference in vertical height between the bottom/top of the circle so at the top the object must have done work against...

This question really troubles me. Since we all know that the molecules are in perpetual random motion, why can't we make a perpetual motion machine by using molecular's always-moving energy?? I‘m a Grade 9 student and I'm unsure about this. :doh::doh::doh:

15cos25 - 0.25N = ma.

Hello I am trying to figure out the equations of motion for the following scenario: a mass m is held upright on by a massless rod mounted on a cart that is being pulled by a linear force. The caveat is that the rod is mounted on the cart via a torsional spring which causes a restorative torque...

Ok, so to start, the easy part, the velocity in the horizontal x direction (vx): vx = 20m/(2.5s) = 8m/s So far so good, but then for the vertical y velocity (vy), my answer is different than the book. I use the equation for position in the y direction, set the y value to 0 (the 2.5s it takes...

I thought the opposite should be true since its a general planar motion its not necessary that the magnitude of radius vector is constant so the change in direction and magnitude of radius vector should be generated by the perpendicular velocity vector and parallel velocity vector respectively ...

Now in determining the initial velocity; in my understanding, if ##s=1.8## then we consider the stone's motion from the top to the ground. Why not consider ##s=3.6##, the total distance traveled by stone from start point ##t=0##? Is it possible to model equations from this point? The stone...

Just looking for terminology here. If an object moves through the solar system, what is the simplest terminology that relates to how the object moves through the solar system? What are the words for if an object moves towards the sun (radially inwards) away from the sun (radially outwards)...

How does a polygon shaped body's toppling shifts from one edge to next adjacent edge when the object is already in motion without any sliding and no external force is applied ? Explain it with the case of hexagon or octagon both ways, with and without including CoM.

i solved it like this... s = ut + 1/2 at^2 t= 1.08 (from part a) u= 65 sin4.30 a= 9.81? or -9.81 the answer said -9.81 why? wouldn't acceleration change from -9.81 to +9.81 because it moves up then down??? its soo confusing...

So I thought the stone would initially experience acceleration in the backward (leftward) direction then continually accelerate in the inward direction of the tire (i.e. upward then rightward then downward then leftward, etc.) as the tire moves forward. But the answer is immediately upward...

TL;DR Summary: Problem said that the ball moves in a harmonic motion and asked to prove it. The process is adiabatic Problem said that the ball moves in a harmonic motion and asked to prove it. The process is adiabatic. I did the development, but at certain point I'm having a problem. The...

Im confused I did 850*9.8*14.7 = 1.2x10^5 Why is it not negative since the force is opposite to the motion?

Problem: A small forest animal jumps with an initial speed of v0 = 15.0m/s and travels to a maximum height of 2.160m. What horizontal distance would the animal travel if the launch angle is i) 45.0 degrees or ii) 42.0 degrees? Correct Answer: i) 24.95m ii) 25.02m My professor solved this by...

I did this too fast idk if I'm wrong So for the x component use the formula d = rt / delta x = v*t 26 = vcos(theta) y component use the displacement formula 19.6 = vsin(theta) tan^-1(19.6/26) = 36.5 degrees the answer key says 20.2 degrees idk whats wrong

I've only just clocked this to be the case. I asked chat gpt and the say big bang has a lot of merit apparently

idk

I am trying to understand the motion of the sphere in the image above, and I am a bit confused about the motion. How does the ball move down the cone? Will the rotation of the cone cause the ball to rotate with it, and which direction would the static friction be in? What does the path the ball...

my group is preferring the ue of partial derivative to find the acceleration of a car or the projectile motion of something being launched

Can someone please check if I got the correct answer. Thank you! I got: Fy= N + Fg = mac N + mg = mv^2/r g = v^2/r r = v^2/g r = (48.61)^2/9.8 r =...

so then when we model the velocity of the motion of a rocket (e.g., in a mathematics report), is it reasonable to assume that the initial velocity equals zero? I also apologise for my lack of information if I made a huge mistake in my question 🙏🏻

TL;DR Summary: Find initial vertically upward speed of the ball Find horizontal speed of the speed Find angle How to: Find initial vertically upward speed of the ball Find horizontal speed of the speed Find anglei try to solve it but it didn't work

TL;DR Summary: Find horizontal velocity? I have no idea how to solve the problem, the question only provide distance 16cm(h),3.6cm(v) and acceleration = 0

I tried using all equations of motion but couldn't get the correct answer. Any hint would greatly help. I've tried doing this for two days now!

What kind of lab activity would you use an Adjustable Hand Stroboscope for? https://prolabscientific.com/Education-supplies/Physics/Force-and-motion/Stroboscopes/Hand-Stroboscope-Adjustable.html Would it purely be a qualitative activity? I can't imagine you can do anything really quantitative...

I think it's not possible. In 3D for constant acceleration we have : ##\vec v = \vec v_0 + \vec a t## It's a line in 3 dimension so velocity's magnitude(speed) is changing with time. I appreciate any better idea.

The question : A car and a truck are both traveling with a constant speed of 20 m/s. The car is 10 m behind the truck. The truck driver suddenly applies his brakes, causing the truck to slow to a stop at the constant rate of 2 m/s2. Two seconds later, the driver of the car applies their brakes...

The Alpha Experiment at CERN has finally produced a paper on whether antimatter falls towards the earth under gravity. The research confirms that antimatter acts identically to regular matter in regards to gravity. Observation of the effect of gravity on the motion of antimatter. Anderson...

I don't undertand the equation. It is Newtons's second law of motion, so it decribes a force that acts on a single disc relative to the ground. So when the force is proportional to velocity, shouldn't it be ##-bv##? Because the dics's velocity is ##v## relative to the ground. Relative to the...

Dear Experts. In a problem where we need to calculate the acceleration of a satellite in a force free space which sweeps and collects interplanetary dust and a certain rate (dm/dt), I believe that the equation F = m(dv/dt) + v(dm/dt) can be used, by putting F=0 and substituting the function...

I was able to solve part 1 but I am not not getting how to find new amplitude of the motion . Please help me

Hello. I have tried to solve it using x-t Graph. We know that period of this function is ##T=\frac {1}{6}s##. Then I've used ##x(t)=0## to find the times in which the oscillator is at ##x=0##: ##t=\frac {k}{12} + \frac {1}{24}## for ## k \in Z.## Now I can draw x-t graph. We should check time...

I'm trying to design a mechanism to translate reciprocating motion into a 45 degree rotation. Here's the idea: A pin will push against the part marked in red, causing part of the desired rotation. Then, when the pin is pulled back, its interaction with the blue part will complete a 45 degree...

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Thank you guys for taking the time to read this - I'm decently struggling with first year and need some tips on how to properly conceptualize problems and learn what the right approach is on certain problems. Have a wonderful day, again thank you for checking this post out!

As the observer is moving, there will be a magnetic force. Electric Field of the Rod = λ/2πεr r̂ Electric Force on the Point Charge = qλ/2πεr r̂ Magnetic Force on the Point Charge = q(vxB) = qvB n̂ = qv(µI/2πr) n̂ = qv(µλv/2πr) n̂ = µqλv²/2πr n̂ Total Force = Electric Force + Magnetic Force

We know that all actions are invariant under their gauge transformations. Are the equations of motion also invariant under the gauge transformations? If yes, can you show a mathematical proof (instead of just saying in words)?