1.

What is the period of small oscillations of the block of mas m if the springs are ideal andpulleys are messless ?

Answer»

`(PI)/(2)sqrt((m)/(k))`
`(pi)/(2)sqrt((m)/(2k))`
`pisqrt((m)/(2k))`

Solution :Constrain
`{:(-x_(2)+2x=0),(x_(2)=2x),(-x_(1)+x_(2)+x_(2)),(x_(1)=2x_(2)),(x_(1)=4x):}`

`2Kx_(1)=(DeltaT)/(2)`
`DeltaT=4Kx_(1)`
`rArr16 kx`
`a=(16Kx)/(m)`
`omega=Gsqrt((K)/(m))`
`T=(2PI)/(4)sqrt((m)/(K))=(pi)/(2)sqrt((m)/(K))`


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