1 = Q 1.36- Small boxes slide down a helical transport path. The position vector of a box P is given as a function of time by the vector rp R sinwe,+R* coswtey-cte, where R and wo are known constants. Determine the speed and acceleration of the box as a function of time. Also enter the speed and size of the acceleration. 00 | Q1.54- The angular velocity w of a satellite around the axis of symmetry is kept constant, even though the probes P on the telescopic arms have a constant radial velocity V. Determine as a function of r the maximum radial velocity Vmax if you do not want to subject the probe P to a greater acceleration amax P (0) RA Q1.70 A small sleeve with a stud at P can slide on a straight horizontal bar. The movement can be controlled by the OP arm which gives a certain angular velocity 0. Determine the velocity and acceleration components of the sleeve for a certain angle in cylinder coordinates, if the arm OP has a constant angular velocity =w during a certain time interval. The distance d is known. I