A physical pendulum is made by cutting a circular lamina from a plywood sheet. The radius is 30 cm and the mass is 5 kg. The lamina is suspended on a nail through a hole drilled 25 cm from the center of the circle, and the pendelum is set in motion. A) What is the period of the pendulum? B) Where is the center of oscillation for this pendulum? Explain all steps
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.
A physical pendulum is made by cutting a circular lamina from a plywood sheet. The radius is 30 cm and the mass is 5 kg. The lamina is suspended on a nail through a hole drilled 25 cm from the center of the circle, and the pendelum is set in motion.
A) What is the period of the pendulum?
B) Where is the center of oscillation for this pendulum?
Explain all steps
Step by step
Solved in 3 steps with 2 images
