RW25 Name:____________About this assignmentSections 9.5-9.7.2 (p. 303-313) in the revised version of Ch. 9 is available on the calendar at the course web site. Do not study the original Ch. 9 in your textbook.1. What is required for the rotational angular momentum of a system to be constant?a. zero net force c. no thermal energy transferb. zero impulse d. zero net torqueHere are seven particles each with the same magnitude of momentum |p| = 38 kg · m/s but with different directions of momentum and different positions relative to location A: w = 11 m, h = 16 m, and d = 15 m.Calculate the magnitude | LA| = r |p| in each case. In each case it is helpful to draw the appropriate rectangle, showing r and | | that bound the rectangle.(1) |LA| = ______________ kg · m2/s (5) |LA| = ______________ kg · m2/s(2) |LA| = ______________ kg · m2/s (6) |LA| = ______________ kg · m2/s(3) |LA| = ______________ kg · m2/s (7) |LA| = ______________ kg · m2/s(4)|LA| = ______________ kg · m2/sWhat is the magnitude of the translational angular momentum about location D if |p| = 75 kg · m/s, |rD| = 16 m, and = 37 degrees?|LD| = ________________ kg · m2/s2. A barbell spins around a pivot at its center at A (Figure 9.21). The barbell consists of two small balls, each with mass 550 grams (0.55 kg), at the ends of a very low mass rod of length d = 30 cm (0.3 m; the radius of rotation is 0.15 m). The barbell spins clockwise with angular speed 120 radians/s.Figure 9.21We can calculate the angular momentum and kinetic energy of this object in two differentways, by treating the object as two separate balls, or as one barbell.I: Treat the object as two separate balls(a) What is the speed of ball 1?|v| = __________________ m/s(b) Calculate the translational angular momentum Ltrans, 1, A of just one of the balls (ball 1).|Ltrans, 1, A| = ____________________ kg · m2/s(c) Calculate the translational angular momentum Ltrans, 2, A of the other ball (ball 2).| Ltrans, 2, A| = __________________ kg · m2/s(d) By adding the translational angular momentum of ball 1 and the translational angular momentum of ball 2, calculate the total angular momentum of the barbell, Ltot, A.|Ltot, A| = ___________________ kg · m2/s(e) Calculate the translational kinetic energy of ball 1.Ktrans,1 =221vm = _________________ J(f) Calculate the translational kinetic energy of ball 2.Ktrans,2 = 221vm= ________________J(g) By adding the translational kinetic energy of ball 1 and the translational kinetic energy of ball 2, calculate the total kinetic energy of the barbell.Ktotal = ___________________ JII: Treat the object as one barbell(h) Calculate the moment of inertia I of the barbell.I = ________________ kg · m2(j) Use the moment of inertia I and the angular speed || = 120 rad/s to calculate the rotational angular momentum of the barbell:|Lrot| = I || = _______________ kg · m2/s(k) How does this value, |Lrot|, compare to the angular momentum |Ltot, A| calculated earlier by adding the translational angular momenta of the two balls?a. |Lrot| > |Ltot, A| b. |Lrot| < |Ltot, A| c. |Lrot| = |Ltot, A|(l) Use the moment of inertia I and the angular speed || = 120 rad/s to calculate the rotational kinetic energy of the barbell:Krot = 221I= ________________ J(m) How does this value, Krot, compare to the kinetic energy Ktotal calculated earlier by adding the translational kinetic energies of the two balls?a. Krot = Ktotalb. Krot < Ktotalc. Krot >