Oscillations Quiz

The different types of motions mentioned in the text are rectilinear motion, motion of a projectile, uniform circular motion, and orbital motion of planets in the solar system.

Periodic motion is repeated after a certain interval of time, while non-repetitive motion does not repeat.

Examples of periodic motions from daily life include rocking in a cradle and swinging on a swing.

<p>Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement and acts in the opposite direction.</p> Signup and view all the answers

<p>Simple harmonic motion is related to uniform circular motion as the projection of uniform circular motion on a diameter results in simple harmonic motion.</p> Signup and view all the answers

<p>Periodic motion repeats after a certain interval of time, while non-repetitive motion does not. Examples of periodic motion include the motion of a planet in the solar system, swinging on a swing, and rocking in a cradle. Non-repetitive motion examples include rectilinear motion and motion of a projectile.</p> Signup and view all the answers

<p>Simple harmonic motion (SHM) is a type of periodic motion where the force acting on the object is directly proportional to the displacement from a fixed point and is always directed towards that point. Its characteristics include a restoring force that is proportional to the displacement, a sinusoidal displacement function, and a constant period of oscillation.</p> Signup and view all the answers

<p>Simple harmonic motion and uniform circular motion are related in that the projection of uniform circular motion onto a diameter of the circle results in simple harmonic motion. The displacement of the projection from the equilibrium point follows sinusoidal behavior, and the restoring force is directed towards the equilibrium point.</p> Signup and view all the answers

<p>The force law for simple harmonic motion states that the force acting on the object is directly proportional and opposite in direction to the displacement from the equilibrium position. This relationship is described by Hooke's Law, which states that the force is proportional to the displacement.</p> Signup and view all the answers

<p>In simple harmonic motion, the total mechanical energy (kinetic energy + potential energy) remains constant throughout the oscillation. As the object moves back and forth, the kinetic energy and potential energy interchange, but the total energy remains constant due to the conservative nature of the force involved.</p> Signup and view all the answers