1. Find the amplitude, frequency and time period of an object oscillating at the end of a spring, the equation for its position at any instant 't' is given by x=25 cos (1/16)t. Find the displacement of the object after 2.05. 2. An 800 g body vibrates SHM with amplitude of 0.30m. The restoring force is 60 KN. Find out: a. T b. A c. V d. KE e. PE When the displacement is 12 cm. 3. A set of water waves travels at 10.0 m/s, and 5.0 waves pass you in 4.0 s. What is the wavelength of the waves? 4. By doubling the wavelength of a wave on a particular string, what happens to the wave speed v and the frequency f? 5. A longitudinal wave traveling on a Slinky has a period of 0.6 s and a wavelength of 40 cm. What is the speed of the wave?
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.
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