Consider the pendulum shown in the figure (Figure 1). Note that the pendulum's string is stopped by a peg when the bob swings to the left, but moves freely when the bob swings to the right. Is the period of this pendulum greater than, less than, or the same as the period of the same pendulum without the peg? (Choose 1) The period of this pendulum is greater than the period of the same pendulum without the
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.
Consider the pendulum shown in the figure (Figure 1). Note that the pendulum's string is stopped by a peg when the bob swings to the left, but moves freely when the bob swings to the right.
- Is the period of this pendulum greater than, less than, or the same as the period of the same pendulum without the peg? (Choose 1)
- The period of this pendulum is greater than the period of the same pendulum without the peg.
- The period of this pendulum is less than the period of the same pendulum without the peg.
- The period of this pendulum is the same as the period of the same pendulum without the peg.
- Calculate the period of this pendulum in terms of L and l
- Evaluate your result for L = 1.0 m and l = 0.20 m
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