A simple pendulum is made with a string measuring 85 cm in length and a bob measuring 50 grams. The bob swings in a 5 cm arc at a point near the earth's surface, producing 20 vibrations in 38 seconds. How many vibrations will a 100-gram bob create in a minute if the string length is 60 cm and the swing arc is 10 cm at the same location?
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.
A simple pendulum is made with a string measuring 85 cm in length and a bob measuring 50 grams. The bob swings in a 5 cm arc at a point near the earth's surface, producing 20 vibrations in 38 seconds. How many vibrations will a 100-gram bob create in a minute if the string length is 60 cm and the swing arc is 10 cm at the same location?
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