The motion of a rod of length L=0.43 m is described in terms of the angle θ it makes with the x axis, where θ(t)=2.9t3 −59t, with θ given in radians and the time given in seconds, and where we consider t>0. Determine the instant of time (in seconds) at which the angular velocity of the rod is zero and mark the corresponding alternative. Choose an option: a) 3,4 b) 3,8 c) 1,3 d) 8,2 e) 6,8 f) 1,5 g) 2,6 h) 4,5
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.
The motion of a rod of length L=0.43 m is described in terms of the angle θ it makes with the x axis, where θ(t)=2.9t3 −59t, with θ given in radians and the time given in seconds, and where we consider t>0.
Determine the instant of time (in seconds) at which the
Choose an option:
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