Acceleration Definition and 1000 Threads

This is a homework question from my friend, I found the time but a tough differential equation occurred when I was trying to find accelaration, is there a simple solution for this?

I have tried to solve it and I would like a confirmation, correction or if something else is suggested... :) Helicoidal movement

Did not know where to start so I tried A= v/t to find velocity then plug into equation to find g, but i got a huge g.

Well, ##r(t)## in ##A## is just a vector ##(0;y)## because is tangent to the trajectory. Then, from the perspective of ##B## the particle moves in an uniform circular motion. Is this right? The velocity from ##B## must be ##\omega##, right? And what about acceleration?

I have a series of pulleys where the belt is running around them in a way to describe a sine curve. The pulleys are stationary and the belt is running from left to right. For every particle of the belt I can use standard formula to calculate their normal acceleration, when in contact with the...

Please could I ask for help with the following question: Part (a) is no problem. Acceleration is the gradient of the graph in regions OA and AB which gives 3 and 0.5 Part (b), I believe, requires me to calculate the greatest and least value of the gradient of the curve in region BC Part...

Well, what I've done so far is calculating the magnitude of velocity and acceleration replacing ##t=2## in ##\theta (t)## and ##r(t)## so I could get the expressions for ##\dot r##, ##\dot \theta##, ##\ddot r## and ##\ddot \theta##. But that's not my problem... my problem is related to the...

The question comes from a thought experiment of a rocket approaching the Earth accelerating at a constant rate of 1g from say from a hypothetical "earth like planet" near by. . we would be standing on the floor of the upright rocket as it lifts off, if we are standing on a scale, our...

From what I understand, ##a_{r} = v_{tan}^2 /r## ##a_{r} = (r\omega)^2 /r## ##a_{r} = r\omega^2## ##\omega^2 = \frac{a_{r}}{r}## ##\omega^2 = \frac{2+2t}{0.12}## ##\omega = \sqrt{\frac{2+2t}{0.12}}## ##s =\int_{0}^{2} \sqrt{\frac{2+2t}{0.12}}## After integrating, I still can't seem to get the...

Choice D is obviously wrong therefore leaving us with choices A, B, and C. Can someone explain the relationship of the three variables stated above (mass, volume, and acceleration due to gravity)? Thank you.

ok not finding this easy but the red is mine drawn over the given book graph also want to convert the whole thing to tikx graph

2.3.16 A car is traveling at $45 \, km/h$ at time $t=0$ It accelerates at a constant rate of $10 \, km/h\, s$ (a) How fast is the care going at $t=1\, s$? $$v_t=v_0+at=45+10(1)=55\,\dfrac{km}{h}$$ at $t=2\,s$ $$v_t=v_0+at=45+10(2)=45+20=60\,\dfrac{km}{h}$$ (b) What is its speed at a...

I chose Answer 5 but the given answer was 1. Am I correct or what was the mistake?

In a circular orbit, the 4-velocity is given by (I have already normalized it) $$ u^{\mu} = \left(1-\frac{3M}{r}\right)^{-\frac{1}{2}} (1,0,0,\Omega) $$Now, taking the covariant derivative, the only non vanishing term will be $$ a^{1} = \Gamma^{1}_{00}u^{0}u^{0} + \Gamma^{1}_{33}u^{3}u^{3} $$...

eb2 A car, start from rest, accelerates in straight line at a constant rate of $2.0 m/s^2$ How far will the car travel in 10 seconds use $d=vt+\dfrac{1}{2}at^2\quad v=0\quad a=2\,m/s^2\quad t=10$ then $$d=(0)(10\, s)...

So there is a textbook physics question in which it asks us to calculate the acceleration of pulley B(which is massless). This exact question was posted and asked previously in this thread. However, it didn't discuss my doubt. To be exact, the question I have troubles with is (b)...

Hi all, I found this problem in a new textbook I'm working through. And my energy conservation equation was ## mg\frac {h}{2} = \frac {1}{2} I ω^2 + mg \frac {h}{2}*sin(55) ## My solution was wrong and after checking why I found that they used cos(35) as the angle. The rest was the same. I'm a...

So I use 2000kg and 6.0kN to get 3ms^2

I believe I know that when an object, in terms of linear motion, accelerates, it is being resisted by inertia, thus creating so called fictitious forces. Now, that said, how does angular acceleration affect spinning objects like say, a gymnast, when they spin around the axis of rotation? Do they...

The equations i got are attached below. Is it right? If yes what should we do after this. I tried solving the equations, but i did not arrive at the solution.

How can I calculate the ACCELERATION of a stationary steel ball after being hit by a moving steel ball. I know how to get the final velocity but how long does it take to accelerate to that velocity from zero? Does it depend on the elasticity of the materials? I guess we need to know long did...

[Moderator's note: Spun off from previous thread due to topic change.] Can you show me a situation where Newton says things accelerate and Einstein says they don't? Being in free fall doesn't mean things don't accelerate. I drop a ball towards the Earth and it not only accelerates but it has a...

2.3.17 At $t=5\, s$ an object is traveling at $5 \, m/s$. At $t=8\, s$ its velocity is $-1\, m/s$ (a) Find the average acceleration for this interval. $$a_{av}=\frac{v_2-v_1}{t_2-t_1}=\frac{\Delta v}{\Delta t}$$ So $$a_{av}=\frac{-1-5}{8-5}=\frac{-6}{3}=-2 \, m/s$$ book answer $-2\...

2.62 An object's velocity is measured to be $v(t)=\alpha-\beta t^2$ where $\alpha=4.00\, m/s$ and $\beta=2.00 \, m/s^3$ At $t=0$ the object is an $x=0$. (a) Calculate the objects position and acceleration as functions of time (b) What is the object's maximum positive displacement from the...

Both point A and B are moving in parallel in same direction, therefore rod is not rotating at this instance and angular acceleration is 0. Question states angular velocity is equal to zero. Plugging into Angular Acceleration"AB" = r*sqr(angular velocity"AB") = 0.26m* sqr(0) = 0 [Moderator's...

I have asked this question on Stack Exchange: SE question. I often encountered this sticker on most motorbikes (especially matic ones) [credit: cintamobil.com]: There, when the tire pressure was measured from cold condition, the tire pressure are same regardless of loadout (29 psi and 33 psi...

"It should be able to accelerate from rest to 20 m/s at least 50 times before the spring needs winding" -So F = -kd = -k(2.1) - d is 2.1 because it is the compression length Now, since we know the d, divide it by 50, 2.1/50 = 0.042m Basically, the spring unwinds 0.042 m 50 times for a total...

Problem Statement: A 2.0 kg cart and an 8 kg cart are connected by a relaxed, horizontal spring of spring constant 300 N/m. You pull the 8 kg cart with some constant horizontal force. The separation between the carts increases for a short time interval, then remains constant as you continue to...

I need some clarification on how the Higgs field work. The popular science explanation explains the effect on moving particles the way an object would be impacted by moving through a medium of maple syrup. I understand this is a very bad, inaccurate analogy. What I want to understand is does...

Let T be the tension in the string, a be the acceleration of mass 2m, 2a be the acceleration of mass m T = (m) (2a) ---eq(1) The mass 3m will come down with acceleration a’ = (a+2a)/2 = 3a/2 3mg - 2T = 3m . 3a/2 from equation 1 3mg - 2(2ma) = 3m . 3a/2 thus a = 6/17g thus acceleration of 3m...

A particle, P, starts from rest at a point X and moves in a straight line with an acceleration expressed as a=4t. After 2 seconds, the particle reaches Y and it stops accelerating. The particle leaves Y with a velocity -3ms-1, and finally comes to rest at Z. (i) Find the value of t when the...

A force of 100N applied to a body which has 5kg mass. Coefficient of static friction(μs) is 0.60 and Coefficient of kinetic friction(μk) is 0.55. A) ##μ_{s} = 0.60##; ##μ_{k} = 0.55## ##F_{s}^{max} = F_{n}*μ_{s}## ##F_{s}^{max} = 49*0.60 (F_{n} = 9.8 \;m/sec^{2} *(5kg) = 49N)## ##F_{s}^{max}...

I'm just having trouble understanding 1) how to plug in the formulas correctly and 2) the correct manner of attacking this. I feel like I'm missing something basic/simple. Any help is greatly appreciated! So far I've got: D = (0) + .5(2.2m/s^2 x 2.4s)^2 Enrique

Problem Statement: A known mass at a know velocity collides on a spring of known stiffness. What is the equation that governs the deceleration of the mass, so that the force on the spring could be found? Relevant Equations: 1/2 m*V^2 = 1/2*k*x^2 + 1/2*m*(Vo)^2 Kinetic energy of mass before...

Edit: I see this was discussed in the related thread sorry for a repost. If acceleration causes a change in velocity, and jerk causes a change in acceleration, snap causes a change in jerk, crackle causes a change in snap, pop causes a change in crackle, stop causes a change in pop, drop causes...

Problem Statement: The motorcycle is traveling at 40 m/s when it is at A. If the speed is then decreased at v'=-(0.05s)m/s^2, where s is in meters measured from A, determine its speed and acceleration when it reaches B. I attached a picture of the problem. Relevant Equations: S = S_0 + v_0(t)...

I concluded the net force on block B would be (300-3T) where T is the tension in the string and similarly, on block A it would be 2T. However, the answer I get (1.71) is incorrect. The correct answer is 1.56. Could someone guide me to the solution of the question. Sincere Thanks!

This seems like a fairly simple problem but I got the same answer for both so I'm unsure if I am doing it right. I found the accelerations as such a1 = (fk)/(ma) = (98/20) = 4.9 m/s2 a2 = (fk)/(ma) = (73.5/15) = 4.9 m/s2 Am I doing something wrong or is this problem just that simple?

How much faster will a bicycle accelerate forward if both front and rear wheel rims are changed for lighter ones? Power input, size, hubs, spokes tyres, Frame etc all staying the same. I can give you any sizes and weights needed, let me know what is needed for this calculation and I’ll reply...

I don't understand what I am supposed to do. I know how to find the acceleration of the system, but I am not sure how to find the com acceleration. My guess would be something along the lines of xcom = (m1a1*x + m2a2*x)/(m1a1 +m2a2). Then do the same for the y axis. Then to find the velocity all...

Starting from this post, we are able to define the concept of (proper) acceleration or rotation without any reference to something else About this definition which is the physical meaning of gyroscopes axes pointing in three mutually orthogonal spacelike directions ? In other words, from a...

I've been deriving ds, velocity and acceleration for an elliptic cylindrical coordinate system. When it comes to ds and velocity, its quite simple and quick. The acceleration however is tedious by my current method and I'm wondering if there is some shortcut or superior method I'm not aware...

Okay so I am having trouble understanding the relationship between Tension, Net Force, and Acceleration. For example, if two objects in a system are connected by a tension force and accelerating at the same speed, but with different forces acting on each object, would: 1. The net force be equal...

Helpp meee pleaseee

What I did was consider a circular orbit around the Sun. We'll have the comet's velocity tangential to its movement (vorb) and a radial velocity pointing towards the sun due to the ejected particles (vej). Therefore we can find the total velocity to be vtot=√(vorb^2 + vej^2). What I did after...

SOLUTION ATTEMPT Newtons 2nd law states that F=ma (eq. 1). When a force is applied to a mass m it results in an acceleration a=F/m (eq. 2). If a vertical force is applied to one of the objects in this system, acceleration of both objects will occur. Assuming the length of the rope is constant...

Hello, Wanted to know if this was the correct approach to solve this example. I uploaded the question along with an attempt. Thanks in advance.

Note: Maths has always been kinda a weak point for me in school. Anyway. From hereon I'm going to talk about this in the context of a train for simplicity, even though this is actually needed for an entirely different context - but I don't think this is relevant for the problem. In terms of my...

Hi guys, I feel that this question has a very straightforward answer but I am just not quite grasping it. The first picture is the homework question, the second is the free body diagram I drew. I know that a = F/m and I know the solution should be: a = (P - m1*gsinθ - m2*gsinθ) / m1 + m2...