Two particles A and B start from rest at x = 0 and move along parallel...
Two particles A and B start from rest at x = 0 and move along parallel paths according to xA = 0.38 sin(πt/4) and xB = 0.20t , where xA and xB are in meters and t is in seconds counted from the start. Determine the time t (where t > 0 ) when both particles have the same displacement and calculate this displacement x.
please help
Homework Answers
GIven the displacements of the two particles
And the condition that the displacements of the two particles are
equal at a particular time t, then
And by solving this transcendental equation by using the graphical
method, we get
The solution of this equation is when the two curves intersect each
other. And this intersecting point is at
This is the time at which the displacements of the two particles
become the same.
And the displacement at that time is
Add Answer to:
Two particles A and B start from rest at x = 0 and move along
parallel...
Two particles A and B start from rest at x = 0 and move along parallel...
Two particles A and B start
from rest at x = 0 and move along parallel paths according to xA =
0.17 sin(πt/2) and xB = 0.08t , where xA and xB are in meters and t
is in seconds counted from the start. Determine the time t (where t
> 0 ) when both particles have the same displacement and
calculate this displacement x.
Chapter 2, Practice Problem 2/105 Two particles A and B start from rest at x...
Problem 3: Two particles A and B start from rest at the origin x = 0...
Problem 3: Two particles A and B start from rest at the origin x = 0 and move along a straight line such that aA (6t-3) ft/s and as (12t 8) ft/s, where t is in seconds. Determine the distance between them when t 4s, and the total distance each has traveled in t4s
Two particles move along an x axis. The position of particle 1 is given by x...
Two particles move along an x axis. The position of particle 1 is given by x = 6.00t2 + 4.00t + 5.00 (in meters and seconds); the acceleration of particle 2 is given by a = -9.00t (in meters per seconds squared and seconds) and, at t = 0, its velocity is 21.0 m/s. When the velocities of the particles match, what is their velocity?
Two particles move along an x axis. The position of particle 1 is given by x...
Two particles move along an x axis. The position of particle 1 is given by x = 8.00t2 + 3.00t + 6.00 (in meters and seconds); the acceleration of particle 2 is given by a = -10.0t (in meters per seconds squared and seconds) and, at t = 0, its velocity is 22.0 m/s. When the velocities of the particles match, what is their velocity?
Problem 12.28 Two particles A and B start from rest at the origin s 0 and...
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Fluid shown in (Figure 1) flows through the curved pipe such that fluid particles move along...
Fluid shown in (Figure 1) flows through the curved
pipe such that fluid particles move along the center streamline
with the velocity of V=(14s^2 + 1000t^3/2 +4)m/s, where s is in
meters and t is in seconds
Part A
Determine the magnitude of the acceleration of a particle at point
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The following two waves are sent in opposite directions on a horizontal string so as to create a standing wave in a ver...
The following two waves are sent in opposite directions on a horizontal string so as to create a standing wave in a vertical plane y1(x, t) = (6.30 mm) sin(6.50TX . 420 Y2(x, t) (6.30 mm) sin(650TX + 42urt), with x in meters and t in seconds. An anitinode is located at point A. In the time interval that point takes to move from maximum upward displacement to maximum downward displacement, how far does each wave move along the string?...
A particle’s motion is described by the following equations: x = 0.2cos(πt/2) y = 0.2sin(πt/2) where...
A particle’s motion is described by the following equations: x = 0.2cos(πt/2) y = 0.2sin(πt/2) where x and y are in meters and t is in seconds, and the trigonometric arguments are in radians. a. Sketch the x-component of displacement from t = 0 to t = 6 s. b. Sketch the y-component of displacement from t = 0 to t = 6 s. c. Write the velocity vector as a function of time. d. Write the acceleration vector as...
The position of a particle moving along the x axis is given by x= 6.0.-1.0p, where...
The position of a particle moving along the x axis is given by x= 6.0.-1.0p, where x is in meters and ria seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction? a. 32m b. 12m c. 16 m d. 24 m c. 2.0m 12. 13. The position of a particle moving along the x axis is given by x (21 +221-6.0)m, where t is in s. What is the average...
Two particles A and B start
from rest at x = 0 and move along parallel paths according to xA =
0.17 sin(πt/2) and xB = 0.08t , where xA and xB are in meters and t
is in seconds counted from the start. Determine the time t (where t
> 0 ) when both particles have the same displacement and
calculate this displacement x.
Chapter 2, Practice Problem 2/105 Two particles A and B start from rest at x...
Problem 3: Two particles A and B start from rest at the origin x = 0 and move along a straight line such that aA (6t-3) ft/s and as (12t 8) ft/s, where t is in seconds. Determine the distance between them when t 4s, and the total distance each has traveled in t4s
Problem 12.28 Two particles A and B start from rest at the origin s 0 and move along a straight line such that a A (4t 2) ft/s? and ag (242 16) ft/s?, where t is in seconds. Part A Determine the distance between them when t = 3 s. Express your answer using three significant figures and include the appropriate units SAB: I Value hits Submit Reguest Answer ▼ Part B Determine the total distance particle A has traveled...
Fluid shown in (Figure 1) flows through the curved
pipe such that fluid particles move along the center streamline
with the velocity of V=(14s^2 + 1000t^3/2 +4)m/s, where s is in
meters and t is in seconds
Part A
Determine the magnitude of the acceleration of a particle at point
A, where s= 0.3m, if it arrives t = 0.02s
a=
Fundamental Problem 3.8 Fluid shown in (Figure 1) flows through the curved pipe Y Pa such that fluid particles...
The following two waves are sent in opposite directions on a horizontal string so as to create a standing wave in a vertical plane y1(x, t) = (6.30 mm) sin(6.50TX . 420 Y2(x, t) (6.30 mm) sin(650TX + 42urt), with x in meters and t in seconds. An anitinode is located at point A. In the time interval that point takes to move from maximum upward displacement to maximum downward displacement, how far does each wave move along the string?...
The position of a particle moving along the x axis is given by x= 6.0.-1.0p, where x is in meters and ria seconds. What is the position of the particle when it achieves its maximum speed in the positive x direction? a. 32m b. 12m c. 16 m d. 24 m c. 2.0m 12. 13. The position of a particle moving along the x axis is given by x (21 +221-6.0)m, where t is in s. What is the average...
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