Two uniform similar discs roll down two inclined planes of length S and 2S respectively as shown is

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6.System of Particles and Rotational Motion

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Two uniform similar discs roll down two inclined planes of length $S$ and $2S$ respectively as shown is the fig. The velocities of two discs at the points $A$ and $B$ of the inclined planes are related as

A

$v_1 = v_2$

B

${v_1} = 2{v_2}$

C

${v_1} = {v_1}\frac{{{v_2}}}{4}$

D

${v_1} = \frac{3}{4}{v_2}$

Solution

According to law of conservation of energy

$M g h=\frac{1}{2} M V_{A}^{2}=\frac{1}{2} M V_{B}^{2}$

$v_{A}=v_{B}$

$v_{1}=v_{2}$

Standard 11

Physics

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