An object of mass ? = 2 kg that moves horizontally at a velocity
8 m / s enters a zone of length ? = 25 m where it experiences
viscous friction numerically equal to one-tenth of its
instantaneous speed; when leaving that zone it passes to another
part where it only experiences the friction of Coulomb numerically
equal to one twentieth of its weight. Find an expression for the
speed and position of the object at any instant of time. Indicate
how far you arrive at the moment of stopping completely.
The development should include the following: Comparative of the
analytic response (symbolic, with replacement of values in the
final), Comparing the answers for free and Finding the maximum
relative error between the numerical method and the analytic
response in the interval of the solution relevant.
An object of mass ? = 2 kg that moves horizontally at a velocity 8 m...
A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an external force of (27 cos 3t − 18 sin 3t) N, determine the steady state response. Express your answer in the form R cos(ωt − δ). (Let u(t) be the displacement...
An object of mass m = 1.70 kg is travelling on a horizontal surface. The coefficient of kinetic friction between the object and the surface is muk = 0.200. The object has speed v = 1 .35 m/s when it reaches x = 0 and encounters a spring. The object compresses the spring a distance d/2, stops instantaneously, and then travels back to x = 0 where it stops completely. Eventually you will be asked to find the spring constant,...
An object with cross section A is shot horizontally across frictionless ice. Its initial velocity is v0x at t0=0s. Air resistance is not negligible. A 1.8 m wide, 1.5 m high, 1700 kg car with a drag coefficient of 0.35 hits a very slick patch of ice while going 24 m/s . Air resistance is not negligible. If friction is neglected, how long will it take until the car's speed drops to 11 m/s ? To 5.0 m/s ?