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Physics-

General

Easy

Question

A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by

$\sqrt{2} M g$
$\sqrt{2} m g$
$\sqrt{(M + m)^{2} + m^{2}} g$
$\sqrt{(M + m)^{2} + M^{2}} g$

The correct answer is: $square root of left parenthesis M plus m right parenthesis to the power of 2 end exponent plus M to the power of 2 end exponent end root g$

Force on the pulley by the clamp

$F subscript p c end subscript equals square root of T to the power of 2 end exponent plus left square bracket left parenthesis M plus m right parenthesis g right square bracket to the power of 2 end exponent end root$
$F subscript p c end subscript equals square root of left parenthesis M g right parenthesis to the power of 2 end exponent plus left square bracket left parenthesis M plus m right parenthesis g right square bracket to the power of 2 end exponent end root$
$F subscript p c end subscript equals square root of M to the power of 2 end exponent plus left parenthesis M plus m right parenthesis to the power of 2 end exponent end root g$

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