## Book: HC Verma - Concepts of Physics Part 1

### Chapter: 12. Simple Harmonic Motion

#### Subject: Physics - Class 12th

##### Q. No. 19 of Exercises

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19
##### A particle of mass m is attached to three springs A, B and C of equal force constant as shown in figure (12-E6). If the particle is pushed slightly against the spring Cand released, find the time period of oscillation.

Suppose the particle is pushed slightly against the spring C through displacement x.

Total resultant force on the particle is due to spring and due to spring A and B, is given by

Note: When the body pushed against C, the spring C tries to pull the block towards XL. At that moment the spring A and B tries to pull the block with force and towards xy and xz respectively. So the total force on the block is due to the spring force C as well as the component of two spring force A and B.

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