A pendulum has length 94 centimeters and bob mass 700 grams and is dropped from an angle of 31 degrees from the vertical. a. Using the law of conservation of mechanical energy and considering only kinetic energy and gravitational potential energy, what is the maximum speed of the bob? Include units in your answer. b. We can treat the pendulum as a mass on a spring on a horizontal surface with an effective spring constant of (w/L), oscillating back and forth with an amplitude equal to the maximum horizontal distance from the equilibrium position. Using the law of conservation of mechanical energy and considering only kinetic energy and elastic potential energy, what is the maximum speed of the bob? Include un
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 pendulum has length 94 centimeters and bob mass 700 grams and is dropped from an angle of 31 degrees from the vertical.
a. Using the law of conservation of mechanical energy and considering only kinetic energy and gravitational potential energy, what is the maximum speed of the bob? Include units in your answer.
b. We can treat the pendulum as a mass on a spring on a horizontal surface with an effective spring constant of (w/L), oscillating back and forth with an amplitude equal to the maximum horizontal distance from the equilibrium position. Using the law of conservation of mechanical energy and considering only kinetic energy and elastic potential energy, what is the maximum speed of the bob? Include units in your answer.
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