A block of mass m connected to two ideal springs of spring constants k 1 and k 2 executes simple harmonic motion on a smooth horizontal surface see the figure now-A- The period of oscillation of the block is 2 - m k 1- k 2- k 1 k 2B- The period of oscillation of the block is 2 -m-k1-k2C- The frequency of the block k 1 k 2- m k 1- k 0-D- The frequency of the block is -k1-k2-m

The correct option is B The period of oscillation of the block is 2π√(m/k_1+k_2)This is a parallel combination of two springs. ...

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Standard XII

Physics

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A block of ma...

Question

A block of mass m connected to two ideal springs of spring constants $k_{1} a n d k_{2}$ executes simple harmonic motion on a smooth horizontal surface (see the figure) now,

The period of oscillation of the block is

2 π \sqrt{\frac{m (k_{1} + k_{2})}{k_{1} k_{2}}}

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The period of oscillation of the block is

2 π \sqrt{\frac{m}{k_{1} + k_{2}}}

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The frequency of the block is

\sqrt{\frac{k_{1} k_{2}}{m (k_{1} + k_{2})}}

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The frequency of the block is

\sqrt{\frac{k_{1} + k_{2}}{m}}

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Solution

The correct option is B The period of oscillation of the block is $2 π \sqrt{\frac{m}{k_{1} + k_{2}}}$
This is a parallel combination of two springs.

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A block of mass m connected to two ideal springs of spring constants k1 and k2 executes simple harmonic motion on a smooth horizontal surface (see the figure) now,

The correct option is B The period of oscillation of the block is 2π√mk1+k2This is a parallel combination of two springs.

A block of mass m connected to two ideal springs of spring constants $k_{1} a n d k_{2}$ executes simple harmonic motion on a smooth horizontal surface (see the figure) now,

The correct option is B The period of oscillation of the block is $2 π \sqrt{\frac{m}{k_{1} + k_{2}}}$
This is a parallel combination of two springs.