A mass swings from a cord in uniform circular motion as shown in figure 5. Report answers in Cartesian coordinates. (a) At what angle in degrees (θ) is the mass swinging at, given that it’s time period of rotation (T ) is 2 s? (b) What is the magnitude of the tension in the cord? (c) What is the velocity of the mass, located at point P = ( x , 0 , 0 )? (d) What is the acceleration of the mass at point P = ( x , 0 , 0 )? (e) What increase in velocity would be necessary for the mass to raise the plane of rotation’s height by 0.2 meters? Figure 5: Mass swinging around a fixed axis, with mass m, cord length R and angle θ. Answer Box: θ = ‖ ~T ‖ = ~v = < , , > ~a =< , , > ‖∆~v‖ = 6