Space Curvilinear Motion

1) The automobile is traveling from a parking deck down along a cylindrical spiral ramp at a constant speed of v = 1.5 m/s. If the ramp descends a distance of 12 m for every full revolution; = 2 rad, determine the magnitude of the car's acceleration as it moves along the ramp, r= 10 m.

Relative Motion with respect to Translating Axes (for particles)

2) An aircraft is flying in a horizontal circle of radius b=1000 m with a constant speed u=250 m/s at an altitude h=2200 m. A radar tracking unit is located at C. Determine the components of velocity of the aircraft in the Spherical Coordinates, Cartesian coordinates and Cylindrical Coordinates of the radar station for =60o.

3)

4) Two cyclists A and B travel at the same speed

v=36 km/h in the directions shown in the figure.

Determine the velocity of A with respect to B if A

travels along the circular track of radius 5 m, while

B travels along the diameter of the circle which

makes 45o angle with the horizontal at the instant

when = 30o in Cartesian Coordinates. Also

determine �̇� and �̇� for the same instant.

Kinetics of Particles (Newton’s Secon Law)

Kinetics of Particles (Work and Energy)