A small block of mass \( m \) is kept on a bigger block of mass \( M \) which is attached to a v...

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A small block of mass \( m \) is kept on a bigger block of mass \( M \) which is attached to a vertical spring of spring constant \( k \) as shown in the figure. The system oscillates vertically. (a) Find the resultant force on the smaller block when it is displaced through a distance \( x \) above its equilibrium position. (b) Find the normal force on the smaller block at this position. When is this force smallest in magnitude ? (c) What can be the maximum amplitude with which the two blocks may oscillate together?
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