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Find the associated constants of the motion for two parameter transformations given above.
Can you please explain me some more problems on principle of moments, balancing see saw and forces acting on a bridge.
A coin stands upright at an arbitrary point on a rotating turntable, and spins (without slipping) at the required angular speed.
A particle of mass m is free to slide on a thin rod. The rod rotates in a plane about one end at constant angular velocity w.
What is the minimum radius of the circle, so that the normal force exerted on the pilot by his seat never exceeds three times his weight?
A 68 kg crate is dragged across a floor by pulling on a rope attached to the crate and inclined 15 degrees above the horizontal.
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.
What is the magnitude of the acceleration at the point of maximum extension of the spring?
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 edg
A 12-in. diameter phonograph record rotates about its center by one-quarter turn.How far has a point on the rim moved?
Calculate the centripetal force on a 2000-kg automobile rounding a curve of 175 m radius at a speed of 50 km/h.
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).
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.