IIT JAM Follow
Jeremy c. zodinliana Asked a Question
October 31, 2021 5:05 am 30 pts
ADVANCED CLASSICAL MECHANICS 11. Which of the following mechanical system is non olonoic a A small sphere rolling down trom the top of a fixed sphere (b) A cylinder rolling without slipping down an incined plane (dA body slides over the floor with friction oj Al OT the above 12. Which of the following mechanical system is rheonomic ? (a) A small sphere rolling down from the top of a fixed sphere (DA cylinder rolling without slipping down an incined plane (GA body slides over the floor with friction (d) None of the above 13. The Lagrang ian of a system is given by L=m- 5kx" . The equation of motion of the system is (a) mt +kx=0 (D) mx+ kr=0 (d) mx-kx =0 (9mx+ ki =0 14. V be the potential and 4 be the generalized coordinates, then for a conservative system (a) F= 0 0 (a) both (a) & (b) 15. The Hamilton an (H) of a system is given by H- 5kr The equation of motion of the system is (a) mx +kx =0 (b) mx+ kx = 9X+ kr = 0 (d)mx-kx =0 16. When a single particle moves aong a wire, number of constraints K) and degrees or treedom () are ghven by k= 1, S= 2 (D 4, S1 (¢) K= 2, (G) k= , 1 17. A configuration space is a hypothetical space tor a system of Nparticles, which in absence of constra in ts (D 2-dmensiona (d) 6N-dimensional (a) N-dimensional c) 3N-dimensional 18. For a N-particle system, phhase space Ss [a) N-dmensiona e) 3-dimensiona (D 2-dmensiona (d) 6N-dimensiona .ASingie particie in pnase space s specified b (a) 3 position coordinates and 3 momentum coordinates (b) 6 position coordinates (c)6 momentum coordinates [d) None of the above 20. Which of the following relations is correct? (a) H=T-L (b)H= 2T-L C)L=T+V (d) H=l-v
• 0 Likes
• Shares 