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A block of mass 0.5 kg hanging from a vertical spring executes simple harmonic motion of amplitude 0.1 m and time period 0.314s. Find the maximum fore exerted by the spring on the blockl.

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The correct Answer is:
`=25N`

`x=r=0.1, T=0.314 sec, m=0.5kg `
Total force exerted on the block =Weight of the block +spring force

`T=2pi(sqrt(m/k))`
`rarr 0.314=2pi(sqrt(0.5/k))`
`rarr k=200N/m`
`:.` Maximum force =`F+weight =20+5`
`=25N`
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HC VERMA-SIMPLE HARMONIC MOTION-Exercises
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  2. A block suspended from a vertical spring is in equilibrium. Show that ...

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  3. A block of mass 0.5 kg hanging from a vertical spring executes simple ...

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  4. A body of mass 2 kg suspended through a vertical spring executes simpl...

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  5. A spring stores 5J of energy when stretched by 25 cm. It is kept verti...

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  6. A small block of mass m is kept on a bigger block of mass M which is a...

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  7. The block of mass m1 shown in figure is fastened to the spring and the...

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  8. In figure, k = 100 N//m, M = 1kg and F = 10 N (a) Find the compre...

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  9. Find the time period of the oscillation of mass m in figure a,b,c wha...

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  10. The spring shown in figure is unstretched when a man starts pulling on...

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  11. A particle of mass m is attached to three springs A,B and C of equal f...

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  12. Repeat the previous exercise if the angle between each pair of springs...

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  13. The springs shown in the figure are all unstretched in the beginning w...

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  14. Find the elastic potential energy stored in each spring shown in figu...

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  15. The string the spring and the puley shown in figure are light. Find th...

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  16. Solve the previous problem if the pulley has a moment of inertia I abo...

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  17. Consider the situastion shown in figure. Show that if that blocks are ...

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  18. A rectangular plate of sides a and b is suspended from a ceiling by tw...

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  19. A 1kg block is executing simple harmonic motion of amplitude 0.1 m on ...

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  20. The left block in figure moves at a speed v towards the right block pl...

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