Circular motion Definition and 1000 Threads

Homework Statement A small block with mass m is placed inside an inverted cone that is rotating about a vertical axis such that the time for one revolution of the cone is T. The walls of the cone make an angle β with the vertical. The coefficient of static friction between the block and the...

Circular Motion Edexcel A level Doubt ! Homework Statement In Formula One racing, cars often take corners at speeds in excess of 50 m s-1, and so there is a very real danger of skidding. (a)At a corner of radius 260m the track is banked at 20°. Calculate the maximum speed if no frictional...

Homework Statement a 1250 kg car follows a circular path around a roundabout of radius 18m at a constant speed of 24 kmh-1 at what angle would the road need to be banked for there to be no need to rely on friction to maintain the circular path? Homework Equations SOH CAH TOA? F=ma...

Homework Statement Consider a go-cart moving on a circular track of radius R = 40 m. Suppose it starts from rest and speeds up to 60 km/hr in 20 seconds, with a constant rate of increase of the speed. Calculate the magnitude of a. Homework Equations a(t) = a_t + α where the...

Circular Motion HW Help! Homework Statement Problem: A 4.0kg ball is attached to 0.70m string and spun at 2.0m/s. Calculate the centripetal acceleration of the ball and the centripetal force on the ball. Homework Equations I don't know of any other ones our teacher gave us some...

Homework Statement 16. A car completes a horizontal circle of radius r in time T. The same car then completes a larger horizontal circle of radius 2r in half the time. What is the ratio of the centripetal acceleration ac for the car in the second circle to that in the first circle a c2 a c1...

a smooth hollow circular cone of semi-angle y is fixed with its axis vertical and its vertex A downwards. A particle P,of mass m,moving with constant speed V describes a horizontal circle on the inner surface of the cone in a plane which is at a distance b above A. show V^2=gb...done b)...

these are only short queries so i put them in the same thread. 1) one end of a light inelastic string of length a is attached to a fixed point A and a particle of mass m is attached to the other end,B. The particle is held at the same level as A,at a distance of asin x away from A,and...

2) a particle P of mass m moves in a vertical circle along the smooth inner surface of a fixed hollow sphere of internal radius a and centre O,the plane of the circle passing through O. The particle is projected from the lowest point of the sphere with a horizontal velocity u. when OP makes an...

a bead of mass m can slide without friction along a circular hoop of radius a which is fixed in a vertical plane. the bead is connected to the highest point of the hoop by a light elastic string of natural length a and modulus 3mg. initially the bead is moving with speed u through the lowest...

Homework Statement A ball of mass 0.23 kg is attached securely to a string, then whirled at a constant speed in a vertical radius of 0.75 m. Calculate the minimum speed of the ball at the top of the path if it is to follow a complete circle. Homework Equations F = mv(squared)/R The...

Homework Statement A 1.62 kg object is swung in a vertical circular path on a string 1.8 m long. The acceleration of gravity is 9.8 m/s^2. If the speed at the top of the circle is 5 m/s, what is the tension in the string when the object is at the top of the circle? Answer in units of NHomework...

Homework Statement *Part 1* A satellite is in a circular orbit 4000 km above the Earth’s surface; i.e., it moves on a circular path under the influence of nothing but the Earth’s gravity. Find the speed of the satellite. The radius of the Earth is 6.37 x10^6 , and the acceleration of gravity at...

I need a formula for an angle with which there is no frictional force during circular motion. No data. No hint. My teacher gave us such task on the latest test. She said that it is easy we just need to think. Nobody solved it. I don't know now if we are such fools or she is a poor teacher that...

Homework Statement "A bar line AB has a length of 1,5m and a mass of 0,5kg. It is stuck in the point B in a horizontal fixed hub, and it can oscillate freely with no friction in the verical plane. at time t=0, the bar line, which was still (not moving, inertia), is set free to rotate. When it...

Hello. I apologize if I put this in the wrong section. I got this problem with the assignment I am currently working with. I have to set the position function for motion as a parametric equation for motion in circular motion, horizontal and vertical respectively. While I do know the...

Homework Statement A car moves on a circular track of constant radius b. If speed of car varies with time t according to v = ct, where c is a positive constant, show that the angle between the velocity vector and the acceleration vector is 45 degrees at time t=√b/c. (Hint: At this time the...

Homework Statement http://imageshack.us/photo/my-images/266/problembd.jpg/ Homework Equations F=mv^2/c The Attempt at a Solution I drew the free body diagram and found TSin(theta) = mv^2/r r = LSin(theta) TSin(theta) = mv^2/LSin(theta) In the y direction Fy = mg -...

Homework Statement A car is moving along a 4km long circular track with constant tangential acceleration. If it starts from rest and it does 2km between 2s and 8s find the vector acceleration, the velocity vector and the displacement after 16s Homework Equations The Attempt at a...

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Homework Statement The text-book question is, calculate the push of the road on the car with a mass of 900kg traveling with a speed of 18m s-1 over a hump-backed ridge. The Attempt at a Solution Push of the car on the road is equal to the push of the road to the car, hence: ƩF = Fc + W...

A ball of mass M attached to a string of length L moves in a circle in vertical plane. At the top of the circular path, the tension in the string is twice the weight of the ball. At the bottom, the ball just clears the ground. Air resistance is negligible. Express all answers in terms of M, L...

Circular motion problem...ON THANKSGIVING! A sled starts from rest at the top of a hemispherical frictionless hill of radius R. http://desmond.imageshack.us/Himg37/scaled.php?server=37&filename=sled.png&res=medium a)Find the velocity of the sled at angle theta in terms of theta, R, and g...

A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 265 m, and the car completes the turn in 32.0 s. (a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your...

Homework Statement In an amusement park ride, people are spun at 5 radians per sec in a 3 m cylinder. What is the coefficient of friction to prevent people from falling down? Homework Equations Centripetal Force= (mv^2)/r Force of friction=(mu)(mg) Velocity=(r)(ω) The Attempt at a...

I am given the moment of inertia of the system ( a fan) and the question asks for me to find the angular acceleration "after the fan is turned on, it takes t = 3.6 s and a total of 12 revolutions to accelerate up to its full speed" ? How I went about solving is that.. I simply converted the rev...

Homework Statement A stone is tied to a rope. The rope is spun vertically clockwise in circular motion. The rope has a constant speed. Draw four free-body diagrams of the stone when the angle between the rope and the positive x-axis is 0, 90, 180, and 270 degrees. 2. The attempt at a solution...

Two masses connected by a string uniform circular motion. HELP! :) Homework Statement A puck of mass m1 is tied to a string and allowed to revolve in a circle of radius R on a frictionless, horizontal table. The other end of the string passes through a small hole in the center of the table...

Homework Statement A mass starts from rest at the upper rim of a semi-circle of radius 8m. In the bottom of this there is a region of size 1m which has a coefficient of kinetic friction of 0.5. What is the maximum height that the mass reaches after passing through this region once...

Homework Statement A ball of mass m is held by a string of length L and swung in a horizontal circle. The string makes an angle θ with the vertical (as shown). a. Draw a diagram clearly labeling all forces on the mass. b. Find T, the amount of time that it takes for the ball to complete...

HELP!proof that a=v^2/r in NON-uniform circular motion Most of the proofs I have read especially the geometric approach assume that the speed is constant, so it mustn't apply for non-uniform circular motion. Some proofs use calculus and starts from the position vector and differentiates it to...

Can someone please explain why static friction points in the same direction as the centripetal force for an object (like a box) on the flatbed of the truck that is traveling in uniform circular motion? Thanks in advance. :)

Homework Statement A tube is bent into the form of a semicircle with centre O and radius r. It is fixed in a vertical plane with its diameter horizontal, as shown in the diagram. A steel ball is held at one end A, and released into the tube. Throughout its motion the ball experiences a...

A roller caoster track has a hill with a circular curve of radius 20m. Determine the greatest speed that the roller coaster can travel at the top of the curve and not leave contact with the track.

A simple pendulum is oscillating with angular displacement of 90 degrees . For what angle with the vertical the acceleration of bob is directed horizontally ? Thanks

Homework Statement A spacecraft moves in a circular orbit with a speed of 7.60E+0 km/s with a period of 95.1 min. What is the radius of the spacecraft 's orbit? My answer, which is correct, is 6.90×106 m What is the radial acceleration of the satellite? 8.37 m/s^2 was my answer, and it...

Homework Statement As a locomotive rounds a circular curve of radius 2.10 km (which would be 2100 m to keep all the units the same), its speed is increasing at a rate of 0.440 m/s2. An instrument in the cab (an accelerometer) indicates that the magnitude of the locomotive's total acceleration...

I have a question for you how to slove a task in physic So this task is about Uniform Circular Motion r=4 m T=6 s m=1.5 kg angle=50 degree I have to find as a distance x=? y=? velocity acceleration force V=? a=? F Vx=? ax=? Fx Vy=? ay=? Fy

A marked point on a 60cm in diameter wheel has a tangential speed (V(tan)) of 3.00 m/s when it begins to slow down with a tangential acceleration (A(tan)) of -1.00 m/s^2. a) what are the magnitudes of the points angular velocity (ω) and acceleration(α) at t=1.5 seconds? b)At what time is...

Homework Statement A particle is at rest at the apex A of a smooth fixed hemisphere whose base is horizontal. The hemisphere has centre O and radius a. The particle is then displaced very slightly from rest and moves on the surface of the hemisphere. At the point P on the surface where angle...

I am stumped on this problem. If anyone can help it would be greatly appreciated. A plane is approaching an airport in a traffic holding pattern. While awaiting its clearence to land, the plane traverses a horizontal circle of radius 2520 meters at constant speed, Each complete turn of the...

Homework Statement Consider a cyclist turning around a circular track with radius r and speed v as shown in attached fig. Let W be the weight of the system (cyclist + bicycle) (W = mg) N = normal force by ground on the system f = static friction by ground on the system θ = angle of...

Homework Statement In Formula 1 race, the cars approach curves from the outside, cut through to the inside, and then drift again to the outside (red path AA’ in the figure). However, the blue path (BB’) in the figure is shorter. Then why do not the drivers follow the shortest path? Give...

Homework Statement So i have to do a lab about circular motion we had to swing a rubber stopper around while holding a glass tube and when there was a mass hanging at the end of it "plot a graph so the slope of the straight line graph may be used to determine the mass of the stopper" we...

Homework Statement Find the direction of acceleration relative to the direction of motion. Answer between −180° and 180°. The tangential acceleration is .98 m/s2. The centripital acceleration is 2.205m/s2 Answer in units of ° Homework Equations ? The Attempt at a Solution...

Hi - I have a problem that somewhat mimics an orbital mechanics problem, but I'm struggling with seeing the light. My engr math is very rusty and could use some insight. Problem Description: Assume a point rotating non-uniformally on the circumference of a circle, similar to a...

Homework Statement [PLAIN]http://img695.imageshack.us/img695/3864/unled1dxu.jpg Homework Equations F=(mv^2)/r The Attempt at a Solution NetForce=0 N-W=0 === A free body diagram of the car at the bottom would just incorporate a downwards W force and an upwards N force together equalling 0...

Homework Statement In an amusement park ride called The Roundup, passengers standinside a 16 m diameter rotating ring.After the ring has acquired sufficient speed, it tilts into avertical plane, as shown in Figure Part A Suppose the ring rotates once every 4.70 s. If a rider's mass...

Please look at the picture... It is of a blue object in four locations that is swung around with a rope ( red line ) in a circle with constant velocity... I wanted to know if my diagrams are correct for each separate location... and I was hoping someone could check my work below to tell me...

Homework Statement A toy airplane is tied to the ceiling with a string. When the airplane's motor is started, it moves with a constant speed of 1.01 m/s in a horizontal circle, as illustrated in the figure. If the angle the string makes with the vertical is 38°, and the tension of the string...