An equipment to measure vibration consists of a carriage of mass M and a pendulum A of ma which is suspended at fixed point O of the cover of carriage by a slender rod of length L as described in Fig. Q1. The pendulum is released from rest in horizontal position. Neglect mass of slender rod, M = 5mA, where ma (kg) and L (meter) are given to each student via his/her allocation number. When the pendulum reaches the vertical position at time t = T (seconds) as shown in dotted lines in the figure, determine 1. the absolute velocities of the carriage and the pendulum A when the pendulum is at vertical position. 2. the travel distance by carriage during time T (sec). 3. the angular velocity of the pendulum at time T (sec).
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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