1. The acceleration a(t) of a particle undergoing simple 1.0 harmonic motion is graphed at the right. Indicate when on the graph the particle is at –x (call it t,). There may be more 0.5 than one correct answer. 0.2 0.4 0.6 0.8 1.0 -0.5 2. Indicate on the graph at the right when the particle has its maximum kinetic energy (call it t,). There may be more than one correct answer.
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
The acceleration vs. time graph shown in the graph shows the cosine wave
Time period of this curve will be 1 second and the maximum value of acceleration will be 1 m/s2
Therefore, we can write the equation of the graph;
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