Physics Class: Restoring Force & SHM

Hooke's Law states that the restoring force (F) is proportional to the displacement (s) from the equilibrium position and acts in the opposite direction: F = -ks.

Elasticity is the ability of a material to resist deformation and return to its original shape after the applied force is removed.

SHM is periodic motion where the acceleration is directly proportional and opposite to the displacement from the equilibrium position.

<p>At zero displacement, acceleration is zero and velocity is at its maximum.</p> Signup and view all the answers

<p>At maximum displacement, acceleration is at its maximum and velocity is zero.</p> Signup and view all the answers

<p>During SHM, potential energy and kinetic energy interchange.</p> Signup and view all the answers

<p>Acceleration is at its maximum at maximum displacement from the equilibrium position.</p> Signup and view all the answers

<p>Examples of SHM include a mass on a spring, a simple pendulum, and vibrating tuning fork prongs.</p> Signup and view all the answers

<p>The elastic constant (k) relates the force applied to the displacement in Hooke's Law, defining the stiffness of the spring.</p> Signup and view all the answers

<p>In the context of SHM, angular frequency is denoted by ω and is measured in radians per second (rad/s).</p> Signup and view all the answers

<p>The amplitude in SHM is calculated as the difference between the natural length and the actual length of the spring.</p> Signup and view all the answers

<p>Frequency refers to the number of cycles an object completes per unit time, measured in hertz (Hz).</p> Signup and view all the answers

<p>Newton’s 2nd Law (F=ma) and Hooke’s Law (F=−ks) are equalized to demonstrate this relationship.</p> Signup and view all the answers

<p>The motion sensor will display the oscillating motion of the weights, showing periodic changes in position.</p> Signup and view all the answers

<p>The period of a simple pendulum depends on the length of the pendulum and the acceleration due to gravity.</p> Signup and view all the answers

<p>Oscillating multiple times helps to reduce timing errors and provides a more accurate measurement of the periodic time.</p> Signup and view all the answers

<p>The period increases with the square root of the pendulum's length.</p> Signup and view all the answers

<p>The length of the pendulum is proportional to the period squared (T^2).</p> Signup and view all the answers

<p>The formula is $a = -\omega^2 s$, where $\omega^2 = \frac{k}{m}$.</p> Signup and view all the answers

<p>The acceleration due to gravity can be calculated using $g = \frac{4\pi^2}{slope}$ from the plotted graph.</p> Signup and view all the answers

<p>The stiffness of a spring, represented by the elastic constant (k), determines how much force is required to achieve a certain displacement from its equilibrium position, with stiffer springs requiring greater force.</p> Signup and view all the answers

<p>In SHM, potential energy converts to kinetic energy and vice versa, with potential energy being maximum at maximum displacement and kinetic energy being maximum at zero displacement.</p> Signup and view all the answers

<p>The negative sign in the equation F = -ks indicates that the restoring force acts in the opposite direction to the displacement from the equilibrium position.</p> Signup and view all the answers

<p>In SHM, acceleration is directly proportional to displacement and acts in the opposite direction, as expressed by the equation a ∝ -s.</p> Signup and view all the answers

<p>In SHM, angular frequency (ω) is derived from circular motion and represents the rate at which the system oscillates, measured in radians per second.</p> Signup and view all the answers

<p>The amplitude is calculated as the maximum distance from the object's equilibrium position, measured in meters.</p> Signup and view all the answers

<p>Frequency is the number of cycles per second, while the period is the time taken for one complete cycle; they are inversely related.</p> Signup and view all the answers

<p>A pendulum exhibits simple harmonic motion through the oscillation around its equilibrium position, where the restoring force is proportional to its displacement.</p> Signup and view all the answers

<p>The slope of the graph indicates the proportional relationship between the square of the period and the length of the pendulum, helping to calculate acceleration due to gravity.</p> Signup and view all the answers

<p>Using a motion sensor and data logger allows for precise measurements of oscillation, enabling accurate data analysis of the motion characteristics.</p> Signup and view all the answers