A rod ABC rotating at 20rpm about a vertical axis through point A supports a 400N ball at its lower end. It is fixed in position by the rod BD as shown in the figure. Neglecting the weights of rods AC and BD, compute the force P in rod BD. Identify if this force is in tension or compression. At what rpm will this force be zero? Draw FBD of the rod AC during the motion of the system. A) 0.60m 30 0.40m B)
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 rod ABC rotating at 20rpm about a vertical axis
through point A supports a 400N ball at its lower end. It
is fixed in position by the rod BD as shown in the figure.
Neglecting the weights of rods AC and BD, compute the
force P in rod BD. Identify if this force is in tension or
compression. At what rpm will this force be zero? Draw
FBD of the rod AC during the motion of the system.
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