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= 1597.19 L= 1597 V Correct! 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. r(1) = vot vCorrect! Part (c) Enter an expression, in unit vector notation, for the time-dependent velocity vector, v(1), of the coconut. v(r) = vo i - gtj V Correct! Part (d) Calculate the magnitude, in kilogram squared meters per second, of the angular momentum of the coconut as observed by you at t = 1.0 s. L= 1954.01 L = 1954 V Correct! Part (e) Calculate the magnitude, in kilogram squared meters per second, of the coconut as observed by you immediately before it hits the ground. L = kg - m²/s
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
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