Problem 2: A 0.35-kg mass oscillates according to the equation x(t)=0.33 cos(14.5t), where the position x(t) is measured in meters. Part (a) What is the period, in seconds, of this mass? Numeric : A numeric value is expected and not an expression. T = Part (b) At what point during the cycle is the mass moving at its maximum speed? MultipleChoice : 1) At the equilibrium points in the middle of the cycle. 2) When displacement approaches the maximum amplitude. 3) There is not enough information to answer. 4) At the equilibrium points and at the maximum amplitudes. 5) It will change from cycle to cycle. Part (c) What is the maximum acceleration of the mass, in meters per square second? Numeric : Anumeric value is expected and not an expression. amax Part (d) At what point in the cycle will it reach it's maximum acceleration? MultipleChoice : 1) At the maximum displacement of the cycle. 2) At equilibrium points of the cycle. 3) There is not enough information to answer. 4) At 1/4 and 3/4 points in its cycle. 5) It changes from cycle to cycle.
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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