The pendulum from Experiment 1 has been experimentally determined to have a period of T0 when released from an angle θ0. The pendulum is then attached to the ceiling of an elevator that travels upward. The pendulum is released from rest at an angle θ0 at t=0s. From t=0s to t=10s, the elevator travels with a constant speed. From t=10s to t=20s, the elevator decreases its speed with a constant acceleration. From t=20s to t=30s, the elevator remains at rest. Which of the following graphs represents the period of the pendulum as a function of time?
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.
The pendulum from Experiment 1 has been experimentally determined to have a period of T0 when released from an angle θ0. The pendulum is then attached to the ceiling of an elevator that travels upward. The pendulum is released from rest at an angle θ0 at t=0s. From t=0s to t=10s, the elevator travels with a constant speed. From t=10s to t=20s, the elevator decreases its speed with a constant acceleration. From t=20s to t=30s, the elevator remains at rest. Which of the following graphs represents the period of the pendulum as a function of time?
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