We have a simple pendulum with a length of 5.2 m and a point mass of 3.3 kg at its end. Figure 1 shows the instant in which the sphere of the pendulum is at a height y = 0.15 m (measured from the lowest point reached by the mass following the arc of movement) and with a speed (v) of 0.20 m/s. Determine A. The mechanical energy of the oscillator. B. The maximum angle reached by the pendulum in radians. C. The maximum rapidity of the mass of the pendulum. D. If the initial speed were 0.20 m/s in the negative direction of movement, what changes would have to be considered for the previous parts? y = 0m 1 3 B v -y = 0,15 m
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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