A particle starts from rest at x = -1.7 m and moves along the x-axis with the velocity history shown. Plot the corresponding accelera and the displacement histories for the 2.4 seconds. Find the time t when the particle crosses the origin. After you have the plots, answer the questions. 1 m/s 2.6 0 0 Questions 1 I 0.6 Att = 0.34 s, X = Att = 0.76 s, X = Att = 1.5 s, X = 1 1 1 1.2 t, s -1.45 1.8 -0.504 i 1.95 2.4 -0.7 The particle will cross the origin when t = i m, m, m, -0.78 V = 1.47 V= V = 2.6 1.78 S. m/s, a = m/s, a = m/s, a = 4.33 0 -2.75 m/s² m/s² m/s²
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.
![A particle starts from rest at x = -1.7 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration
and the displacement histories for the 2.4 seconds. Find the time t when the particle crosses the origin. After you have the plots,
answer the questions.
1 m/s
2.6
Questions
1
]
I
I
0.6
At t = 0.34 s, X =
Att = 0.76 s, X =
1
I
1.2
At t = 1.5 s, X =
t, s
-1.45
1.8
-0.504
i 1.95
2.4
-0.7
The particle will cross the origin when t = i
m,
m,
V =
-0.78
V =
m, V =
1.47
2.6
1.78
S.
m/s, a =
m/s, a =
m/s, a =
4.33
0
-2.75
m/s²
m/s²
m/s²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F46dae25a-c1ef-41c1-a2dd-cf24c64a0bae%2Fb10ec9c2-637a-45f4-98b7-c9531ff04287%2F4u50o0b_processed.jpeg&w=3840&q=75)
Step by step
Solved in 7 steps with 7 images
