Mechanics: Chapter 7 – Hooke’s Law and Centripetal Force

The magnitude and direction of the force of a spring that restores its shape can be predicted by what is called Hooke’s Law.

  • F = -kx

The direction of the force is always towards the relaxed position of the spring i.e against the motion of spring (hence the minus sign). k is the spring constant. x is the extension of the spring.

The centripetal force on an object in circular motion is always towards the center of the circle and can be calculated by

  • F_{c} = ma_{c}

Where a_{c} is the centripetal acceleration which I discussed in Chapter 4.

Note: I am not sure whether the force due to air resistance should be included at this point. I might append it to this chapter later.

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