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Circular Motion

Simple harmonic motion

Please see the attached files for full description. 15. The displacement of a mass oscillating on a spring is given by x(t) = x_m * cos(wt + ph). If the initial displacement is zero and the initial velocity is in negative x direction, then the phase constant phi is: 16. Mass m, oscillating on the end of a spring with sprin

Rotational or Angular Simple Harmonic Motion

Your boss at the Cut-Rate Cuckoo Clock Company asks you what would happen to the frequency of the angular SHM of the balance wheel if it had the same density and the same coil spring (thus the same torsion constant), but all the balance wheel dimensions were made one-third as great to save material. 1) By what factor would th

Motion on a vertical circle.

This problem is a three-parter. Here we go: A stunt man whose mass is 72.7 kg swings from the end of a 4.51 m long rope along the arc of a vertical circle. 1.) Assuming he starts from rest when the rope is horizontal, find the tension in the rope that is required to make him follow his circular path at the beginning of hi

Circular motion, one problem

A 102-gram airplane is attached to a string with a length of 1.0 meters. if it flies in a circle in which the string is declined at angle (theta) of 39.8 degrees below the horizontal at what speed is the plane flying?

Harmonic Motion and and Spring Scale

At an outdoor market, a bunch of bananas is set on a spring scale to measure the weight. The spring set the full bunch of bananas into vertical oscillatory motion. The motion is harmonic with an amplitude of 0.15 m. The spring of the scale has a force constant k = 332 n/m. It is observed that the maximum speed of the bananas

A block is place on the inclined plane is stationary

(See attached file for full problem description) 2. A child standing on a bridge throws a rock straight down. The rock leaves the child's hand... 3. An astronaut is in circular orbit in a satellite around the earth. The astronaut feels weightless because... 4. A quantity that remains constant in uniform circular motion

Roller Coaster: Maximum speed, forces.

(See attached file for full problem description) 1. A roller coaster ride at an amusement park lifts a car of mass 700kg to point A at a height of 90 m above the lowest point on the track, as shown above. The car starts from rest at point A, rolls with negligible friction down the incline and follows the track around a loop o

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

Motiron in two dimension: Motion on a verticle 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.


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 - 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