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Standard XII

Physics

Acceleration in 2D

What should b...

Question

What should be the minimum force $P$ to be applied to the string so that block of mass $m$ just begins to move up the frictionless plane:

M g

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\frac{M g cot θ}{2}

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\frac{M g sin θ}{1 + cos θ}

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\frac{M g cos θ}{1 + sin θ}

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Solution

The correct option is C $\frac{M g sin θ}{1 + cos θ}$
$T = P$
$T^{'} = T + T c o s θ$
$T^{'} = P (1 + c o s θ)$
$P (1 + c o s θ) = m g s i n θ$
$P = \frac{m g s i n θ}{1 + c o s θ}$

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What should be the minimum force P to be applied to the string so that block of mass m just begins to move up the frictionless plane:

The correct option is C Mgsinθ1+cosθT=PT′=T+TcosθT′=P(1+cosθ)P(1+cosθ)=mgsinθP=mgsinθ1+cosθ

What should be the minimum force $P$ to be applied to the string so that block of mass $m$ just begins to move up the frictionless plane:

The correct option is C $\frac{M g sin θ}{1 + cos θ}$
$T = P$
$T^{'} = T + T c o s θ$
$T^{'} = P (1 + c o s θ)$
$P (1 + c o s θ) = m g s i n θ$
$P = \frac{m g s i n θ}{1 + c o s θ}$