You have a simple pendulum that consists of a small metal ball attached to a long string. You push the ball so that at time t=0t=0 it moves with a speed of 0.59 m/s through the equilibrium in the negative x-direction and continues oscillating with amplitude 24 cm. (a) Draw labeled position-time and velocity-time graphs for the first two periods of oscillation. (b) Determine the length of the string. Solve for the length of the string. Start with general equations and explain what you are doing and why you did what you did.
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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You have a simple pendulum that consists of a small metal ball attached to a long string. You push the ball so that at time t=0t=0 it moves with a speed of 0.59 m/s through the equilibrium in the negative x-direction and continues oscillating with amplitude 24 cm. (a) Draw labeled position-time and velocity-time graphs for the first two periods of oscillation. (b) Determine the length of the string.
- Solve for the length of the string. Start with general equations and explain what you are doing and why you did what you did.
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