2. The path of particle P shown in Figure 2 is the ellipse defined by the relations r = 2/(2 – cos nt) and 0 = nt, where r is expressed in meters, t is in second and 0 is in radians. Determine the velocity and the acceleration of the particle when (a) t = 0, (b) t = 0.5 s.
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.
![2. The path of particle P shown in Figure 2 is the ellipse defined by the relations r = 2/(2 – cos nt) and 0 = nt, where r is
expressed in meters, t is in second and 0 is in radians. Determine the velocity and the acceleration of the particle when
(a) t = 0, (b) t = 0.5 s.
P](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea3798c5-45dd-4c8f-acb9-2f049deccf2f%2F95acb97b-f594-460e-aee5-d690ec0897af%2Ffhoq1c_processed.jpeg&w=3840&q=75)
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