Physics Spl

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In Simple Harmonic Motion (SHM), the restoring force is directly proportional to the displacement from the mean position. It is a periodic motion and acts in the opposite direction. SHM follows the equation, F=? kx, where k is the force constant and x is the displacement. Simple Harmonic Motion is characterized by constant frequency, sinusoidal oscillations, and energy interchange between potential and kinetic forms. Examples are the vibrating springs,  the motion of a pendulum (for small angles), and molecules in a lattice.

Conservative forces (like gravity or spring force) conserve mechanical energy and do not depend on the path taken. The work done by the conservative forces is recoverable.
Non-conservative forces (like friction or air resistance) dissipate energy as heat or sound. It depends on the path. When non-conservative forces act, mechanical energy is not conserved.

Energy is measured in joules (J). It is the capacity to do work while power is the rate of using energy or doing work. Power is measured in watts (W). One watt equals one joule per second. Power talks about how fast the work is done, and energy is about how much work is possible. 

When without slipping a body rotates and translates simultaneously is called rolling motion, such as a wheel on a road. It is the combination of rotatory and translatory motion. The point of contact has zero velocity relative to the surface in pure rolling. It is a condition in which there is no slipping or sliding during rolling.

According to the Class 11 Physics Chapter 6 System of Particles and Rotational Motion, for a rigid body to be in complete equilibrium, two conditions should be met:

• Net external torque = 0 (rotational equilibrium)
• Net external force = 0 (translational equilibrium)

The condition for equilibrium in rotational motion ensures that the body is not rotating or accelerating linearly. It is important in engineering and static structures to maintain stability like buildings or bridges.