(Solved): 16-20 Answer all please. Just give the answer. No need for lengthy solutions or explanations. Ques ...

16-20

Answer all please. Just give the answer. No need for lengthy solutions or explanations.

Question 16 A smooth wire has the form of the cycloid X = c(0+ sin 0), y = 0, z = c(1 ? cos (), where c is a positive constant and - ? ?T. The wire is fixed, with the +z-axis pointing vertically upwards. A particle can slide freely on the wire. Let u = = du/dt. The equation of motion for the sin(0/2) and u in terms of u is then particle ·U = 0 u=0 O ü + 2/2/² ) ü + ²/2 u ü + u=0 ²/ü+u = 0 ü+u = 0 Question 17 A smooth wire has the form of the cycloid x = c(0 + sin 0), y = 0, z = c(1 ? cos (), where c is a positive constant and -? ? 0 ? ?. The wire is fixed, with the +z-axis pointing vertically upwards. A particle can slide freely on the wire. The system performs oscillation with period equal to 0 2T ? 04 ? OVE OR ? 1 pts Question 18 Which of the following is the correct form of the ENERGY EQUATION? E = }[,2 tr? ]+V(r) E = }[r2 + (r0)?] +V(r) ) E = ¹/² [r² + (r?)²] + V(r) E = ²/r² +V(r) ' E = ™ [r² + rô²] + V(r) O O O 1 pts 3TT ? ? 1 pts Question 19 The correct form of the RADIAL MOTION EQUATION is given by 011/12 ²+ + V (r) = E L² 27² 21/1² + + V(r) = E 1/1/²+ + V(r) E 2r 1/2 mr² + L² 2mr² + V (r) = E 1/2mr² + L² 2mr + V(r) = E Question 20 1 pts The correct form of the ANGULAR MOMENTUM EQUATION is given by ) rÖ = L 72 mr²0 = L Omri = L Or² = L Omr² = L 1 pts