Cart Definition and 308 Threads

Homework Statement The nonlinear, inherently unstable inverted pendulum is shown in Figure 1.15. The goal is to maintain the pendulum angle θ(t) = 0 by using a feedback controller with a sensor (encoder or poten- tiometer) for θ(t) and an actuator to produce an input force f (t). The...

Homework Statement A ball is kicked horizontally with speed v1 from the top of a building of height h. A small cart is moving towards the building with a constant speed v2. Right at the instant when the ball is kicked, the cart is at a distance d from the building. What is the distance d so...

Homework Statement You place a 2kg box against the side of a cart. Nothing is used to stick the box to the cart which accelerates to the right. The coefficient of static friction is 0.6. Find the minimum acceleration of the cart needed so that the box does not fall Homework Equations...

nevermind solved

I am working through an example of an inverted pendulum on a cart, exactly like this: L is the length of the massless pendulum arm. Two degrees of freedom, x and theta. If I write out the kinetic energy as three parts: translational KE from cart + translational KE from pendulum +...

Hello Guys i'm constructing some cart with conveyor on it weight of cart with conveyor is 300kg cart has 4 wheels i need to know if one person could move it, or i need to make it lighter how can i to calculate the force than person needs to move this cart? does radius of the wheels...

HELPHow is this possible?!? The hanging mass is lighter then the cart! Homework Statement The cart in Figure 4 has a mass of 2.3 kg and is attached to a 1.7 kg object. Calculate the acceleration of the cart given the following assumptions. A) The force of friction is negligible B) The...

Homework Statement Cam followers are 25mm and 32mm in diameter. Mass is 4kg. Determine the reaction forces on all of the cam rollers when cart accelerates to the right at 20 m/s^2 Homework Equations The Attempt at a Solution (4kg)(20m/s^2)(.05m)/(.018m) = 222 N on small roller...

Hello. I'm trying to start my own mobile juicing business. I have the money to build my own mobile cart. I spent some time thinking what I want my cart to do. I want to incorporate a mechanical suspension That can lift up the cart for traveling So it can go over steps and curbs (Off road...

Homework Statement The system is released from rest with no slack in the cable and with the spring stretched 200mm. Determine the distance s traveled by the 10kg cat before it comes to rest (a) if m approaches zero and (b) if m = 2kg. Assume no mechanical interference. Mass of cart = 10kg, k...

Hey guys, I am trying to figure out which motor to order for a side project of mine. I am trying to push a 1000 pound cart up a 10 degree incline. The cart has four elastomer wheels, and may possible encounter carpeted surfaces. I'm not quite sure what to expect in regards to a coefficient of...

Homework Statement Hello, so i had a family party and my cousin was doing his physics homework so i decided to join in. now I'm at home and was playing with one of the problems that his teacher didn't assign and got an answer that i want to check because my teacher skipped the moment chapter(i...

"A cart of mass m moving at velocity v to the right collides with a stationary cart" 1. "A cart of mass m moving at velocity v to the right collides with a stationary cart of mass 2m on an air track, and the two stick together after collision. What is their velocity after colliding?" 2...

Homework Statement A friend asking: A cart and a water hose: A water hose is spraying water at rate m_dot kg/sec, and at a given velocity V, on a cart with a mass M. The water hit the cart, and they are bounced back from it in an elastic collision (same velocity in relation to the cart...

Homework Statement You are standing on a frictionless cart which is at rest. At to you throw a ball to the left, with momentum p, at a wall on the left that is attached to the cart. At t1 the ball bounces off the wall, with the same momentum. a. What happens to the cart between to and...

Hello everyone, This is my first thread so thanks in advance for any help! I have been trying to figure out this problem, and though I've gotten close to an end solution (also with the help of motion analysis on Solidworks) I am not very confident. So, in order to meet an IEC standard of a...

Homework Statement On flat surface there is small cart m and big, initally resting ramp with mass m and height h. a) At what speed should the cart travel to roll on the flat area on top of the ramp and stop relativly to it? b) Assuming that cart moves with speed greater than calculated in a)...

Homework Statement I am having difficulty understanding why in 2.1 Worked Example Coal Car on page 3 One can use the initial time as time = 0, but 2.2 Worked example on page 4 they start the initial time at an arbitrary time t. Homework Equations The Attempt at a Solution

Homework Statement A cart is driven by a large propeller or fan, which can accelerate or decelerate the cart. The cart starts out at the position x = 0m, with an initial velocity of +4.85m/s and a constant acceleration due to the fan. The direction to the right is positive. The cart reaches a...

I am extremely sorry for making this thread, as it has been made here numerous times and there are a number of other websites that discuss this apparent problem, but there is something about this that I just can't understand no matter how I think about it. Here's how I understand it: A horse is...

1. What is the net force on a cart that is pulled to the right with 100 pounds and to the left with 30 pounds? Changes in motion are produced by a force or combination of forces. A force, in the simplest sense is a push or a pull. Its source may be gravitational, electrical, magnetic, or...

Homework Statement Consider an inverted pendulum system as described in https://en.wikipedia.org/wiki/Inverted_pendulum. The system consists of a cart with mass M to which a pole of length l and mass m is affixed via a pivot point. Forces applied to the cart move it along a track. At any point...

Homework Statement A 2kg cart has a spring with k=5000N/m attached to its front parallel to the ground. This cart rolls at 4m/s toward a stationary 1kg cart. What is the maximum compression of the spring during the collision The Attempt at a Solution I think the spring will stop...

After finding the equations of motion of a pendulum in an accelerating cart: \ddot{\phi} + \frac{acos\phi +gsin\phi}{l}=0 ,the method that Taylor uses in Prob 7.30 for finding the small angle frequency, is to rewrite \phi as \phi_{0}+\delta \phi. Then you can use a trig identity in the...

Homework Statement A Cart is floating on an airtrack and is connected by a spring to one fixed object. The cart executes a simple harmonic motion with a period of 4 seconds. Its mass is 2kg. Its maximum displacement from rest position is 1.8m. Calculate the spring constant and provide units...

Homework Statement A 330 kg roller coaster car sits on a horizontal track. Ahead of it is a vertical loop with radius of 6.85 m. The car is given an initial speed of 23.4 m/s and the car successfully traverses the loop. What is the maximum amount of energy taken away from the car by friction...

I am pursuing bachelor in engineering.i have a case study involving the stabilization of an inverted pendulum about it's unstable equilibrium point. My problem is that I have to digitalize my system before i can implement it. Can anyone tell me how to digitalize the system.

a person moves a full sam's club shopping cart mass=80.0 kg from rest to a velocity of 1.30 m/s over a distance of 1.80 meters to secure a spot in check out line. A. find the time required to get the cart moving from rest to 1.30 m/s? B. Determine the change in the chart's momentum? c...

I have a final year project which is to design and build a solar golf cart. I have system for the electrical part of the design in mind, I would just like some clearance on whether these components will actually work. Here goes, this is what i was thinking of: 1. 1 x 200W PV Panel 2. 1 x...

Homework Statement A box of mass = 20 kg rests on top of a cart mass = 30 kg. A force of 200 N is applied to the cart, and the box starts to slide. If the coefficient of kinetic friction is 0.25, what is the time it takes for the box to slide 1.5 m. Both the cart and the box start from...

Homework Statement As a small verification of a larger problem, I'm trying to determine how the dynamics of an inverted pendulum attached to a frictionless cart would behave. The cart has no input force applied, so all horizontal movements would be due purely to the centrifugal+normal...

Homework Statement Evaluate the distance the cart travels from 18.0s to 21.0s. The points are roughly (18.0, 22) and (21.0, 10). The slope/acceleration is constant. Homework Equations Δx=(v2f−v2i)/2a Δx=0.5at2 Δx=0.5(base)(height) The Attempt at a Solution I used the first...

I'm making a rc cart with 4 wheels with rubber tracks on them. Two front wheels are powered by two dc motors 3.5-15[Nm] torque. Torque of 15[Nm] represent stalled torque. Let's say that friction between wheel axel and body of cart is minimal. Diamter of axle is 10[mm] and the diameter of wheel...

I posted this in the other section but didn't seem to get any replies and thought this would be a better forum for this type of question. Looking to brainstorm a little. Looking for some EE's or anything related to share thoughts. Trying to come up with some ideas to incorporate into a...

Looking to brainstorm a little. Looking for some EE's or anything related to share thoughts. Trying to come up with some ideas to incorporate into a wireless buggy(go cart). Will have a wireless connection between steering wheel and pedals, front/rear wheels. Will probably install sensors later...

Homework Statement A 63-kg student stands on a 34-kg cart that is free to move in any direction. The cart and student are moving together with a velocity of 3.2 m/s [W]. The student then starts to walk so that her velocity is 1.8 m/s [25° W of N] relative to the floor. Calculate the new...

Homework Statement The position of a an air-track cart that is oscillating on a spring is given by (14.0cm)cos[(12.0s-1)t]. At what value t after t=0 is the cart first located at x=2.0 cm? The attempt at a solution y = Acos(wt+∅) y = 14cos(12t) 2 = 14cos(12t) (1/7) = cos(12t)...

Was sitting in class thinking about this problem, did some rough sketches of a solution but never really managed to solve it. ![Ice cream cone and a loop-de-loop][1] The problem boiled down to finding out how much time the boy uses getting from the top of the loop to the bottom. Any...

Homework Statement A 150kg cart moving at 13m/s east collided with a 420kg wagon moving at 5m/s east.The cart rebounded westward with a speed of 3m/s. What was the speed of the wagon after the collision? Homework Equations m1v1+m2v2=m'1v'1+m'2v'2 The Attempt at a Solution I...

Homework Statement A roller-coaster car starts from rest at a high point 2 times as high as the top of the loop-the-loop. When it is just about to enter the loop from the bottom, a 100 lb bag of bricks fall on the car, causing it to lose 25% of its speed. Neglecting friction, do you think the...

Homework Statement Two carts have a spring of negligible mass compressed between them. The spring has a force constant of 8000 N/m and is compressed 0.05 m from equilibrium. Cart 1 has a mass of 1.3 kg and cart 2 has a mass of 0.5 kg. What is the speed of cart 1? What is the speed of cart...

Homework Statement Diameter = 20 cm, Massplywood = 8.8kg, Masswheel = 1.86 kg Length of incline = 34 m Masstotal = 16.24 kg Homework Equations Energybefore = Energyafter KEtranslational = 1/2mtotalv2 KErotational = 1/2 I ω2 Isolid disk = 1/2 M R2 Ug = mgh v = rω The...

There's a cord attached to a cart that can slide along a frictionless horizontal rail aligned along an x axis. The left end of the cord is pulled over a pulley, of negligible mass and friction and at cord height h = 1.3 m, so the cart slides from x1 = 5.0 m to x2 = 1.0 m. During the move, the...

Homework Statement In a lab experiment in my introductory physics class, we are asked to verify Newton's Second Law by taking data from an experiment and then comparing that data to a theory. We are given a cart of unknown mass m_{}1 is put on a horizontal track with a string attached over a...

Need to calculate motor size to drive skip dolley system. have the following: Frame on 6 wheels. Gearbox/motor driving middle pair of wheels. Total mass 12t Need to move trolley @ 5m/min Any thoughts where to begin?

Hi, I've tried to figure this out but I just can't! Please help me understand how to work it out? A ballistic cart is a wheeled cart that can launch a ball in a direction perpendicular to the way the cart moves and can then catch the ball again if it falls back down on the cart. Holding the...

I am a graduate of a 4 year university in Mechanical Engineering... But I graduated 3 years ago now and I feel like I'm slipping. I have a problem that I have come up with that I would like to be able to answer, but after a couple of days now I'm still stumped. A little help would be greatly...

Say I launch an object (a cart) up a frictionless inclined plane at an angle of 'theta' to the horizontal. Question: What would be the acceleration of the cart right after it is launched? My guess at the answer: 9.81*cos(theta) since the cart is launched at an angle. BUT I'm not sure...

Homework Statement For my physics practical I have to conduct an experiment where I have to investigate the acceleration of a small cart, its a block of wood with wheels on it. The set up is I have a one metre distance marked on a desk from the edge of the desk. at the edge of the desk...

Homework Statement Calculate the coefficient of friction between a fuzzy block and dynamics cart? This is a Lab task so I have all the materials but I don't know where to start. Homework Equations u=ff/fn uk=fk/fn us=fs/fn The Attempt at a Solution I tried using the formulas...