A small block with a mass of 0.0600 kg is attached to a cord passing through a hole in a frictionless, horizontal surface (Figure 1). The block is originally revolving at a distance of 0.43 m from the hole with a speed of 0.75 m/s . The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.19 m . At this new distance, the speed of the block is 1.70 m/s . What is the tension in the cord in the original situation when the block has speed v0 = 0.75 m/s ? What is the tension in the cord in the final situation when the block has speed v1 = 1.70 m/s ? How much work was done by the person who pulled on the cord?
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 small block with a mass of 0.0600 kg is attached to a cord passing through a hole in a frictionless, horizontal surface (Figure 1). The block is originally revolving at a distance of 0.43 m from the hole with a speed of 0.75 m/s . The cord is then pulled from below, shortening the radius of the circle in which the block revolves to 0.19 m . At this new distance, the speed of the block is 1.70 m/s .
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