You are playing with a yoyo. You pull the yoyo with a string that is 0.240 m long to the side through an angle of 5.5O and releases it. The motion of the yoyo is like that of a simple pendulum. (a) How much time does it take the body of the yoyo to reach its maximum speed? (b) How much time does it take if the body of the yoyo is released at an angle of 2.75O instead of 5.5O?
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.
- You are playing with a yoyo. You pull the yoyo with a string that is 0.240 m long to the side through an angle of 5.5O and releases it. The motion of the yoyo is like that of a simple pendulum. (a) How much time does it take the body of the yoyo to reach its maximum speed? (b) How much time does it take if the body of the yoyo is released at an angle of 2.75O instead of 5.5O?
- You are playing with a jumping rope with your best friend, each of you holding both ends of the rope. You are creating transverse waves with the rope by moving your hand up and down. The transverse waves on the rope have a speed of 8.00 m/s, amplitude of 0.0700 m, and wavelength of 0.320 m. The waves travel in the negative x direction, and at t = 0 the x = 0 end of the rope has its maximum upward displacement. (a) Find the frequency, period, and wave number of these waves. (b) Write a wave function describing the wave.
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