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How many revolutions does the merry-go-round make as it stops?Before slowing, what is the speed of a child on the rim? (in m/s)
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.
A roller coaster ride at an amusement partk lifts a car of mass 700kg to point A at a height of 90 m above the lowest point on the track.
A small block with mass m rests on a frictionless horizontal tabletop a distance r from a hole in the center of the table.
After reaching the other shore, how fast, to the nearest tenth of a m/s, must skater 1 run around the lake to meet skater 2 at the opposite shore?
A race car is traveling at constant speed around a circular track. What happens to the centripetal acceleration of the car if the speed is doubled?
An object executing simple harmonic motion has a maximum speed of 4.3 m/s and a maximum acceleration of 0.65 m/s^2.
The coefficient of kinetic friction between the crate and the ramp is 0.340. Find the acceleration of the moving crate.
During one complete cycle, for what length of time is the postion of the object greater than A/2?
After how many wraps does the ball stop wrapping around and start swinging? What is the maximum angle where this will happen?
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 angleT of 39.8 degrees.
Derive from first principles the Poiseuille equation for pressure drop generated by the steady flow of a Newtonian fluid through a straight tube.
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.
By what factor would the torsion constant need to be changed to make the smaller balance wheel oscillate at the original frequency?
The equation of a wave of twice the amplitude and twice the frequency travelling at the same speed but in the opposite direction.
The solar wind is a thin, hot gas given off by the sun. Charged particles in this gas enter the magnetic field of the earth.
A circle of radius R, oriented with the plane of the circle horizontal, is attached to a vertical axis at one point on the circumference of the circle.
A particle of mass m slides down a smooth circular wedge (radius = R) of mass M (see fig). The wedge rests on a smooth horizontal table.
A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates.
A 2 Kg block is suspended 5 m above the ground by a light rope wrapped around a 3 kg solid pulley wheel, as shown in figure below.
For the idealized system shown, what is the natural circular frequency in rad/sec, and the period of oscillation in seconds?
At the local swimming hole, a favorite trick is to run horizontally off a cliff that is 8.9 m above the water.
A solid circular disk has a mass of 1.2 kg and a radius of 0.16m. Each of three identical thin rods has a mass of 0.15 kg.
If the plane of the loop is vertical and if the bead starts from rest at a point that is level with the center of the loop.
The neutron is a particle with zero charge. However, it has a nonzero magnetic moment of 9.66 × 10-27Am2.