Acceleration Definition and 1000 Threads

Summary: Non - ideal pulley question, should be easy but has got me good Hey guys, looking for some help on this pulley question. It involves torque, and works with Newton's 2nd law in conjunction with a non-ideal pulley. Text of question: " When the motor in the figure below lowers the m =...

I'm struggling in the details of this exercise. Let ##S'## be the reference frame where the acceleration of the spaceship is constant, in which case we have ##u'(t')= a' t'## (since we assume no acceleration at the beginning). The rest frame of the rocket ##S## is connected to ##S'## via a...

This question showed up on my grade 12 physics test. The problem I have with this question is that I did not know the direction that the system would accelerate in, so I just solved as though the mass on the inclined plane would accelerate the system. I expected that if it would accelerate the...

I have some difficulties trying to understand non-inertial frames. I have problems to notice the acceleration in these cases, from an inertial reference frame and from non inertial refrence frame. Consider the first case, if I'm on the wedge, I see that the block doesn't move so there's no...

I am trying to solve accelerations of a cart on these different slopes. I don't understand how it is possible without knowing the coefficient of friction, but my teacher says it is (very cryptically I might add). Can anyone help me understand this? Thanks.

I considered the downwards direction and left direction as negative. For ##m_1##, Newton's equations are: ##x) Fr + W_x - T=0## ##y) N - W_y =0## For ##m_2##: ##y) T - W =0## Then, if I replace the data, I get ##T=22.2 N## and then ##m_2=2.2 kg##. With that, for the second question ##m_2=4.4...

What should I do? Because I have two possibilities. I have ##0=5+at## so ##-5/t =a##. But then I can also say that the acceleration is a negative because it is stopping, so I can write it like ##0=5-kt## and then ##5/t =k##

Homework Statement: A student is swinging a ball on a string overhead in a horizontal plane. The string initially has length 𝑙0 and the ball is moving with an initial speed 𝑣0 . The student decides to see how fast they can spin the ball, so they begin moving it faster and faster with a constant...

Let m be a point test mass. Initially m has velocity Vy in the poisitive y-direction, and zero velocity in the x-direction. At time zero, m is accelerated in the positive x-direction. In the limit as the time goes to infinity, the velecity in the positive x-direction goes to the speed of...

Hello, Newton's second law, when the mass is constant, tells us that the acceleration ##a=\frac {F}{m}## which produces a simple ODE. The acceleration is a function that can be constant ##a= constant##, time-dependent ##a(t)##, velocity-dependent ##a(v)##, position dependent ##a(x)##, etc...

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...