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Circular Motion

Four problems about tension and circular motion

(See attached file for full problem description) --- 1. In a tug-of-war, each man on a 5-man team pulls with an average force of 500 N. What is the tension in the center of the rope? A zero newtons B 100 N C 500 N D 2500 N E 5000 N 2. A ball moves with a constant speed of 4 m/s around a circle

Uniform Circular Motion and Simple Harmonic Motion

A ball rolls on a circular track of radius 0.50 m with a constant angular speed of 1.3 rad/s. If the angular position of the ball at t = 0 is theta = 0, find the x component of the ball's position at the times 2.5 s, 5.0 s and 7.5 s.

The Solution to Kepler's Laws and Earth Satellites

A geosynchronous satellite stays above the same point on the equator of the Earth (a typical TV satellite). Determine algebraically: (a) The height above the Earth's surface it must be. (b) What the satellite orbital speed is?

Motion in two dimension: Motion on a vertical Circle.

A small ball is suspended from point A by a tread of length L. A nail is driven into the wall at a distance of L/2 below A, at O. The ball is drawn so that the tread takes up a horizontal position. -At what point in the ball's trajectory will the tension in the tread disappear? -How much farther will the ball move? -What

Banked Frictionless Curve with Friction

A car of mass M traveling at speed v enters a banked turn covered with ice. The road is banked at an angle theta, and there is no friction between the road and the car's tires. What is the radius r of the turn (assuming the car continues in uniform circular motion around the turn)? Express the radius in terms of the given quanti

Problem 7.24

A 5.0-m-diameter merry-go-round is initially turning with a 4.0 s period. It slows down and stops in 20 s. a) Before slowing, what is the speed of a child on the rim? (in m/s) b) How many revolutions does the merry-go-round make as it stops?

Energy: Mass and Angles

If M=0, theta=arccos(2/3) where theta is the angle between the right, for example and the pearl at the top of the circle (or the ring). A ring of mass M hangs from a thread, and two beads of mass m slide on it without friction.The beads are released simultaneously from the top of the ring and slide down opposite sides. Sho

Force and Circular Motion

Show all work with the answer please! A 0.208-kg toy whistle can be whirled in a horizontal circle of 1.00 m radius at a maximum of 3.00 rev/s before the string breaks. What is the force needed to break the string?

Force needed for circular motion

Show all work with the answer please! Calculate the centripetal force on a 2000-kg automobile rounding a curve of 175 m radius at a speed of 50 km/h.

Circular Motion Problems

A 12-in. diameter phonograph record rotates about its center by one-quarter turn. a. Through how many radians has it turned? b. How far has a point on the rim moved?

Circular Motion Problem

Show all work with answer please! A protractor is made so that the edge of its scale is 7.5 cm from the center point. If the scale is marked in degrees, how far apart are the marks along the edge?

Center of Mass

Find the center of mass of a plate that is shaped like the region between y=x^2 and y=2x, where the density varies as 1 + x + y.

Earth's movements

26. The Earth moves in an almost-circular orbit around the Sun because: (a) That is the 'natural' path of an object in space (b) Of the combination of its sideways motion, and the Sun's gravitational force (c) The Sun moves in an almost-circular path around the Earth (d) Of the Sun's magnetic field (e) None of the above

Simple Harmonic Motion equation given with numerical values

The x coordinate in meters, of an object which moves on the x axis with SHM is expressed by: x(t) = .12 Sin (5 t + .35) a. At time t= 0, find the initial x coordinate, and the initial magnitude and direction of the velocity and the acceleration. b. At exactly one half a period after t=0, find the x coordinate and the magn

Simple Harmonic Motion - Magnitude

The period of oscillation of a spring-and-mass system is 0.50 seconds and the amplitude is 5.0cm. What is the magnitude of the acceleration at the point of maximum extension of the spring?

Calculating time to return to starting point

A particle of mass m, initially at rest, moves in a circular path of radius r. The resultant force acting on the particle has a tangential component given by F = Kt. Express the time required for the particle to return to its starting point in terms of r, K, and m. I'm so confused on this one. So, there is an angular accelera

Uniform circular Motion

A car with a constant speed of 83.0 km/h enters a circular flat curve with a radius of curvature of .400 km. If the friction between the road and the car's tires can supply a centripetal acceleration of 1.25m/s^2, does the car negotiate the curve safely? Justify your answer.

Mass oscillating on a spring

The position of a mass oscillating on a spring is given by X= 7.8 cm cos [2 pi t / (0.68 s) ] a. What is the frequency of this motion? b. When is the mass first at the position x= -7.8cm

Radius, Cetripetal Acceleration, Lift Force & Velocity Direction

A plane heading due North makes a level turn with a speed of 100 m/s. The angle of the bank is 15 degrees. Determine: (a) Radius of the circular path (b) Cetripetal acceleration (c) Lift force (d) Direction of velocity after 30 seconds (Weight of the plane is 19600 Newtons)

Magnitude of string tension

Hi. Can someone show me how to do the the following problem? "A mass M of 2.71 kg is attached to the end of a string whose length is 0.640 m, and is whirled in a vertical circle in the same radius about a fixed point. Find the magnitude of the tension when the mass is at the top if its speed at the top is 5.73 m/s." (I don