1. A simple pendulum has a frequency of 0.400 Hz for small oscillations on the surface of the Earth. What is the speed of the same pendulum on the surface of the moon, where g = 1.62 m/s^2?
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.
1. A simple pendulum has a frequency of 0.400 Hz for small oscillations on the surface of the Earth. What is the speed of the same pendulum on the surface of the moon, where g = 1.62 m/s^2?
2. A disk with radius 50.0 m rotates at a rate of 1.5 rad/s. What is the tangential speed at the edge of the disk?
3. A 3kg block connected to a spring with spring constant 400 N/m is held 12.0 cm from equilibrium then left to oscillate. What is the displacement of the object with respect to the equilibrium position when it attains a velocity 1.20 m/s?
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