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Physics-

General

Easy

Question

The minimum force 'p' to be applied on a string so that a block of mass m just begins to move up on a friction less plane is

mg sin $θ$
$\frac{m g s i n θ}{1 + c o s θ}$
mg cos q
mg tan q

The correct answer is: $fraction numerator m g s i n invisible function application theta over denominator 1 plus c o s invisible function application theta end fraction$

From force diagram of pulley
$P plus P cos invisible function application theta equals T$

rom force diagram of body, to move upwards on plane
T > mg sinq
$P plus p sin invisible function application theta equals T greater than m g sin invisible function application theta$
$p open parentheses 1 plus c o s invisible function application theta close parentheses greater than m g sin invisible function application theta$
$P greater than fraction numerator m g sin invisible function application theta over denominator 1 plus c o s invisible function application theta end fraction$
$therefore P subscript m i n end subscript equals fraction numerator m g s i n invisible function application theta over denominator 1 plus c o s invisible function application theta end fraction$

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