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Problem $11\mathrm{.}147-$ Normal and tangential components, find the radii of curvature of trajectory

Coal is discharged from the tailgate $A$ of a dump truck with an initial velocity $v_A=2\mathrm{.}100\frac{m}{s}$ at an angle of

$50$ as shown in the figure.

Problem $11\mathrm{.}147.$b $-$ Normal and tangential components, find the radii of curvature of trajectory

Determine the radius of curvature of the trajectory described by the coal at the point of trajectory $1$ m below Point A $.($Round the

final answer to two decimal places.$)$

The radius of curvature is

m$.1$