The spherical mass at the end of the arm has mass 10 kg. The arm has length 0.5 m, and the angles ? and f follow the functions , and . Calculate the force vector applied to the mass as a function of time.
Perform this calculation using cylindrical coordinates. Cylindrical coordinates are the same as polar coordinates, with the addition of a third, z-axis.Recommend that the z-axis be placed up the axis of rotation for ?.
a. Derive an expression for acceleration in cylindrical coordinates, noticing that the z-axis doesn’t change over time.
b. Use the formula from part a to calculate the force vector.