Home Physics System of Particles Rotational Motion Mix A ring of mass m and radius R is placed on a…
Physics System of Particles Rotational Motion Mix MCQ (Single Correct)

A ring of mass m and radius R is placed on a rough inclined plane so that it rolls without slipping then Match the following :

Column I

Column II

(i) Linear acceleration of centre of mass

[A] Is directly

proportional to m

(ii) Angular acceleration

[B] Is inversely

proportional to m

(iii) Rotational kinetic

energy at any instant

[C] Is    inversely

proportional to R

(iv) Translational kinetic energy at any instant

[D] None

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Text Solution

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The correct answer is:
CHECK THE SOLUTION.

Ans.

(i) [D]

(ii) [C]

(iii) [A]

(iv) [A]

Sol. a = and β is independent of m and R

α =

K R = I ω 2 = × mR 2 × = ma 2 t 2 K T = mv

2 = × m × = ma 2 t 2

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