Problem 10: While watching the clouds pass by, you notice a European swallow flying horizontally at a height of h = 21.95 m. When the swallow is directly overhead, it drops an m = 10.5 kg coconut. Refer to the diagram. From your ornithological studies, you know that the air-speed of this particular species of swallow, while carrying such a load, is vo = 6.93 m/s. Neglect air resistance. Assume that your head is at the origin of the coordinate system. Part (a) Calculate the magnitude, in kilogram squared meters per second, of the angular momentum of the coconut, as observed by you, at the moment it is released directly overhead. L = kg m2/s sin() cos() tan() 7. 8 HOME cotan() asin() acos() E 4 5 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() END O Degrees O Radians BACKSPACE CLEAR Submit Hint I give up! Part (b) Let 7 be the time-dependent position vector of the coconut with time measured from the instant it was released by the swallow. Enter an expression for its horizontal component as a function of time. Part (c) Enter an expression, in unit vector notation, for the time-dependent velocity vector, v(t), of the coconut.
Problem 10: While watching the clouds pass by, you notice a European swallow flying horizontally at a height of h = 21.95 m. When the swallow is directly overhead, it drops an m = 10.5 kg coconut. Refer to the diagram. From your ornithological studies, you know that the air-speed of this particular species of swallow, while carrying such a load, is vo = 6.93 m/s. Neglect air resistance. Assume that your head is at the origin of the coordinate system. Part (a) Calculate the magnitude, in kilogram squared meters per second, of the angular momentum of the coconut, as observed by you, at the moment it is released directly overhead. L = kg m2/s sin() cos() tan() 7. 8 HOME cotan() asin() acos() E 4 5 atan() acotan() sinh() 1 2 3 cosh() tanh() cotanh() END O Degrees O Radians BACKSPACE CLEAR Submit Hint I give up! Part (b) Let 7 be the time-dependent position vector of the coconut with time measured from the instant it was released by the swallow. Enter an expression for its horizontal component as a function of time. Part (c) Enter an expression, in unit vector notation, for the time-dependent velocity vector, v(t), of the coconut.
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