a).The displacement at any given time of an object is r = 6 sin 98t where the symbols have their usual meanings. i). Demonstrate that this object is executing simple harmonic motion. i). Evaluate the period and frequency of this motion. (r is cm and + in seconds]. b). A car travelling at a speed 21 m/s more than the speed limit which is 51 km/hr buzz past a police car. The police car immediately pursues the car with an acceleration of 5 m/s? for 8 seconds and maintains the speed attained for the rest of the pursuit. i. at what time will the velocities of the cars be the same? in. will the police car ever catch up with the car? c). i.). Explain how a man can comfortably lay on a bed of nails? id. Which of the laws of motion accounts for the weight of an object, state
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.
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