A simple pendulum has a length of 0.532 m. The pendulum bob of mass 40.0 x 10-³ kg is displaced 2.50 x 10² m from equilibrium and released. It then moves with simple harmonic motion (S.H.M.). a) i. Determine the time period of the pendulum. İİ. iii. iv. Determine the maximum acceleration of the pendulum bob. Sketch a graph to show how the acceleration varies with displacement for the pendulum. The graph should show both axes with labels and unit, appropriate values indicated on each axis and a line of best fit. Determine the total kinetic and potential energy of the pendulum bob.
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
