An elastic spring of force constant K is compressed by an amount x. Show that is potential energy is 1/2 Kx 34. State Pascal's law . Explain the working of hydraulic lift on the basis of Pascal's law. 35. Define SHM. Also derive the differential equation of SHM.
34. Hydraulic lift works on the principle of Pascal's law which states that if any force is applied to any point of a confined fluid, then the pressure is equally and undiminished transmitted through out the liquid.
35. Simple Harmonic Motion or SHM is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. ... The acceleration of a particle executing simple harmonic motion is given by, a(t) = -ω 2 x(t). Here, ω is the angular velocity of the particle.