Q23 of 111 Page 252

The string, the spring and the pulley shown in figure (12-E9) are light. Find the time period of the mass m.


When only m is hanging, let the extension in the spring be l , so


When a force F is applied, let the further extension be x



Therefore,





More from this chapter

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21

The springs shown in the figure (12-E7) are all upstretched in the beginning when a man starts pulling the block. The can exerts a constant force F on the block. Find the amplitude and the frequency of the motion of the block.


 22

Find the elastic potential energy stored in each spring shown in figure (12-E8), when the block is in equilibrium. Also find the time period of vertical oscillation of the block.


 24

Solve the previous problem if the pulley has a moment of inertia I about its axis and the string does not slip over it.


 25

Consider the situation shown in figure (12-E10). Show that if the blocks are displaced slightly in opposite directions and released, they will execute simple harmonic motion. Calculate the time period.