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Physics

Mechanics

Easy

Question

A string is wrapped several times on a cylinder of mass M and radius R. the cylinder is pivoted about its axis of symmetry. A block of mass m tied to the string rests on a support so that the string is slack. the block is lifted up to a height h and the support is removed. (shown in figure)

What is the angular velocity of cylinder just before the string becomes taut

Zero
$\frac{\sqrt{2 g h}}{R}$
$\frac{\sqrt{g h}}{R}$
$\frac{2 \sqrt{g h}}{R}$

The correct answer is: Zero

$text Just before the string becomes taut, the block falls freely, so end text v subscript 0 equals square root of 2 g h end root text . There is no tension in end text text the string, so nothing causes the cylinder to spin, so end text omega subscript 0 equals 0 text . end text$

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