In the List-I below, four different paths of a particle are given as functions of time....
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In the List-I below, four different paths of a particle are given as functions of time. In these functions, a and 3 are positive constants of appropriate dimensions and a . In each case, the force acting on the particle is either zero or conservative. In List-II, five physical quantities of the particle are mentioned: p is the linear momentum, L is the angular momentum about the origin, K is the kinetic energy, U is the potential energy and E is the total energy. Match each path in List-I with those quantities in List-II, which are conserved for that path. LIST-I P. Q. r(t) = at +Bt j r(t) = a cos oot i+Bsin ot r(t) = a(cos oot i+sin cot j) S. F(t)=ati+tj (A) P 1, 2, 3, 4, 5; (B) P 1, 2, 3, 4, 5; (C) P 2, 3, 4; (D) P 1, 2, 3, 5; Q2, 5; Q 3, 5; Q 5; Q2,5; LIST-II 1. P 2. 3. 4. 5. R 2, 3, 4, 5; R 2, 3, 4, 5; 1, 2, 4; R R 2, 3, 4, 5; K U E S5 S 2,5 S 2,5 S 2,5 In the List-I below, four different paths of a particle are given as functions of time. In these functions, a and 3 are positive constants of appropriate dimensions and a . In each case, the force acting on the particle is either zero or conservative. In List-II, five physical quantities of the particle are mentioned: p is the linear momentum, L is the angular momentum about the origin, K is the kinetic energy, U is the potential energy and E is the total energy. Match each path in List-I with those quantities in List-II, which are conserved for that path. LIST-I P. Q. r(t) = at +Bt j r(t) = a cos oot i+Bsin ot r(t) = a(cos oot i+sin cot j) S. F(t)=ati+tj (A) P 1, 2, 3, 4, 5; (B) P 1, 2, 3, 4, 5; (C) P 2, 3, 4; (D) P 1, 2, 3, 5; Q2, 5; Q 3, 5; Q 5; Q2,5; LIST-II 1. P 2. 3. 4. 5. R 2, 3, 4, 5; R 2, 3, 4, 5; 1, 2, 4; R R 2, 3, 4, 5; K U E S5 S 2,5 S 2,5 S 2,5
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Related Book For
Engineering Mechanics Dynamics
ISBN: 9781118885840
8th Edition
Authors: James L. Meriam, L. G. Kraige, J. N. Bolton
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