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Questions 23 and 24 are based on the following physical situation Ends of three light identical rods each of length $l$ are connected to a light pivot that enables them to rotate in any direction. At the other ends of the rods, three particles A, B and C of masses $m, 2m$ and $3m$ respectively are affixed. Initially, the rods are coplanar, angle between any two adjacent rod is $120^{circ}$ and the particles are at rest. Now the particle C is given a velocity $u$ perpendicular to the rod connected to it and in the plane of the rods as shown in the figure. Ignore gravitational interaction between the particles. 23. Denoting acceleration vectors of the particles A, B and C by $vec{a}_{mathrm{A}}, vec{a}_{mathrm{B}}$ and $vec{a}_{mathrm{C}}$ respectively, which of the following conclusion can you make? (a) $vec{a}_{mathrm{A}}+vec{a}_{mathrm{B}}+vec{a}_{mathrm{C}}=vec{0}$ (b) $3 vec{a}_{mathrm{A}}+2 vec{a}_{mathrm{B}}+vec{a}_{mathrm{C}}=vec{0}$ (c) $vec{a}_{mathrm{A}}+2 vec{a}_{mathrm{B}}+3 vec{a}_{mathrm{C}}=vec{0}$ (d) None of these 24. What are moduli of acceleration vectors of the particles A, B and C immediately after the particle C is given velocity $u$? (a) All equal to $frac{u^2}{l}$. (b) $frac{3 u^2}{l}, frac{3 u^2}{2 l}$ and $frac{u^2}{l}$ (c) $frac{6 u^2}{11 l}, frac{3 u^2}{11 l}$ and $frac{2 u^2}{11 l}$ (d) $frac{12 u^2}{13 l}, frac{6 u^2}{13 l}$ and $frac{4 u^2}{13 l}$

          Questions 23 and 24 are based on the following physical situation
Ends of three light identical rods each of length $l$ are connected to a light pivot that enables them to rotate in any direction. At the other ends of the rods, three particles A, B and C of masses $m, 2m$ and $3m$ respectively are affixed. Initially, the rods are coplanar, angle between any two adjacent rod is $120^{circ}$ and the particles are at rest. Now the particle C is given a velocity $u$ perpendicular to the rod connected to it and in the plane of the rods as shown in the figure. Ignore gravitational interaction between the particles.
23. Denoting acceleration vectors of the particles A, B and C by $vec{a}_{mathrm{A}}, vec{a}_{mathrm{B}}$ and $vec{a}_{mathrm{C}}$ respectively, which of the following conclusion can you make?
(a) $vec{a}_{mathrm{A}}+vec{a}_{mathrm{B}}+vec{a}_{mathrm{C}}=vec{0}$
(b) $3 vec{a}_{mathrm{A}}+2 vec{a}_{mathrm{B}}+vec{a}_{mathrm{C}}=vec{0}$
(c) $vec{a}_{mathrm{A}}+2 vec{a}_{mathrm{B}}+3 vec{a}_{mathrm{C}}=vec{0}$
(d) None of these
24. What are moduli of acceleration vectors of the particles A, B and C immediately after the particle C is given velocity $u$?
(a) All equal to $frac{u^2}{l}$.
(b) $frac{3 u^2}{l}, frac{3 u^2}{2 l}$ and $frac{u^2}{l}$
(c) $frac{6 u^2}{11 l}, frac{3 u^2}{11 l}$ and $frac{2 u^2}{11 l}$
(d) $frac{12 u^2}{13 l}, frac{6 u^2}{13 l}$ and $frac{4 u^2}{13 l}$

$Questions 23 and 24 are based on the following physical situation Ends of three light identical rods each of length l are connected to a light pivot that enables them to rotate in any direction. At the other ends of the rods, three particles A, B and C of masses m, 2m and 3m respectively are affixed. Initially, the rods are coplanar, angle between any two adjacent rod is 120^circ and the particles are at rest. Now the particle C is given a velocity u perpendicular to the rod connected to it and in the plane of the rods as shown in the figure. Ignore gravitational interaction between the particles. 23. Denoting acceleration vectors of the particles A, B and C by vecamathrmA, vecamathrmB and vecamathrmC respectively, which of the following conclusion can you make? (a) vecamathrmA+vecamathrmB+vecamathrmC=vec0 (b) 3 vecamathrmA+2 vecamathrmB+vecamathrmC=vec0 (c) vecamathrmA+2 vecamathrmB+3 vecamathrmC=vec0 (d) None of these 24. What are moduli of acceleration vectors of the particles A, B and C immediately after the particle C is given velocity u? (a) All equal to fracu^2l. (b) frac3 u^2l, frac3 u^22 l and fracu^2l (c) frac6 u^211 l, frac3 u^211 l and frac2 u^211 l (d) frac12 u^213 l, frac6 u^213 l and frac4 u^213 l$

Added by Sukumar C.

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