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Standard XIII

Physics

Limiting Friction

The maximum v...

Question

The maximum value of mass of block $C$ so that neither $A$ nor $B$ moves is (Given that mass of $A$ is $100 k g$ and that of $B$ is $140 k g$ . Pulleys are smooth and friction coefficient between $A$ and $B$ and between $B$ and horizontal surface is :( $μ = 0.3, g = 10 m / s^{2}$ ).

210 k g

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190 k g

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185 k g

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162 k g

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Solution

The correct option is D $162 k g$

$μ = 0.3$
$M_{A} = 100 k g$
$M_{B} = 140 k g$
From the F.B. D of the blocks:
$T "= M_{c} g$
$T^{'} = 2 T$
$T = μ M_{A} g$
$T "= μ M_{A} g + 2 μ M_{A} g + μ [M_{A} + M_{B}] g$
$= μ g [4 M_{A} + M_{B}]$
$M_{c} g = 0.3 g [4 \times 100 + 140]$
$M_{c} = 0.3 [540]$
$= 3 \times 54$
$= 162 k g$

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The maximum value of mass of block C so that neither A nor B moves is (Given that mass of A is 100 kg and that of B is 140 kg. Pulleys are smooth and friction coefficient between A and B and between B and horizontal surface is :(μ=0.3,g=10 m/s2).

The correct option is D 162 kg μ=0.3 MA=100 kg MB=140 kg From the F.B. D of the blocks: T"=Mcg T′=2T T=μMAg T"=μMAg+2μMAg+μ[MA+MB]g =μg[4MA+MB] Mcg=0.3g[4×100+140] Mc=0.3[540] =3×54 =162 kg

The maximum value of mass of block $C$ so that neither $A$ nor $B$ moves is (Given that mass of $A$ is $100 k g$ and that of $B$ is $140 k g$ . Pulleys are smooth and friction coefficient between $A$ and $B$ and between $B$ and horizontal surface is :( $μ = 0.3, g = 10 m / s^{2}$ ).