A block P of mass m is placed on a smooth horizontal surface. A block Q of same mass is placed over

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13.Oscillations

hard

A block $P$ of mass $m$ is placed on a smooth horizontal surface. A block $Q$ of same mass is placed over the block $P$ and the coefficient of static friction between them is ${\mu _S}$. A spring of spring constant $K$ is attached to block $Q$. The blocks are displaced together to a distance $A$ and released. The upper block oscillates without slipping over the lower block. The maximum frictional force between the block is

A

$0$

B

$K$

C

$\frac{{KA}}{2}$

D

$\mu g$

Solution

$\omega=\sqrt{\frac{\mathrm{K}}{2 \mathrm{m}}}$

Maximum acceleration $=\omega^{2} \mathrm{A}=\frac{\mathrm{KA}}{2 \mathrm{m}}$

Friction between blocks $=$ force on lower block

$=m a=\frac{K A}{2}$

Standard 11

Physics

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