The displacement d (in meters) of an object at time t (in seconds) is given by the following equation. Answer parts (a) through (d). d= 10 sin (4t) (a) Describe the motion of the object. Is the motion simple harmonic? - bt b2 2m O A. Yes, because the given equation is not in the form of d(t) = a e cos 4m2 - bt b? 2m O B. No, because the given equation is in the form of d(t) = a e 4m2 Oc. Yes, because the given equation is in the form of d= a sin ot. O D. No, because the given equation is not in the form of d = a sin wt. (b) What is the maximum displacement from its resting position? meters (c) What is the time required for one oscillation? second(s) (Simplify your answer. Type an exact answer, using a as needed. Use integers or fractions for any numbers in the expression.)
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.
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