m having trouble with this practice problem. I was given the answer key: a.) 3.24 m/s b.) 2.65 m below pivot point but I'm having trouble solving it to get the right answers. A pendulum is created by attaching a bowling ball to the end of a L = 4 m cable coming from the ceiling. The ball is released with the cable making an angle of θ = 30◦ with the vertical. (a) Find the speed of the ball at the bottom of its swing (ignoring air resistance). (b) Describe in words the energy conversion process that occurs with and without air resistance. (c) If the ball is released with a speed of v = 4 m/s, what is the maximum height that it will reach when swinging up the other side. You can ignore air resistance again
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.
I'm having trouble with this practice problem. I was given the answer key:
a.) 3.24 m/s
b.) 2.65 m below pivot point
but I'm having trouble solving it to get the right answers.
A pendulum is created by attaching a bowling ball to the end of a L = 4 m cable
coming from the ceiling. The ball is released with the cable making an angle of θ = 30◦ with the
vertical. (a) Find the speed of the ball at the bottom of its swing (ignoring air resistance). (b)
Describe in words the energy conversion process that occurs with and without air resistance. (c) If
the ball is released with a speed of v = 4 m/s, what is the maximum height that it will reach when
swinging up the other side. You can ignore air resistance again
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