An object travels along the sinusoidal path defined by the y sin(0.5(rad/m) x). If the component...
F12-18. A particle travels along a straight-line path y 0.5x. If the x component of the particle's velocity is vr= (2) m/s, where t is in seconds, determine the magnitude of the particle's velocity and acceleration when = 4 s. y =0.5x Prob. F12-18 F12-19. A particle is traveling along the parabolic path y 0.25x. If x 8 m. , 8 m/s, and a, 4 m/s2 when 2 s. determine the magnitude of the particle's velocity and acceleration at this...
1. <Problem Due> A particle is traveling along the path defined by y=(x - 1)?. If x = 0.562 m, where t is in seconds, calculate the magnitudes of the particle's velocity ū and acceleration ā when t = 1 s. Also, sketch your results and show the directions of ū and ā when t= 1 s.
A sinusoidal wave moving along a string is shown twice below, as crest A travels in the positive direction of an x axis by distance d = 1.5 cm in 4.4 ms. The tick marks along the axis are separated by 3.0 cm; height H = 6.00 mm. The wave equation is of the form below. y(x, t) = ym sin(kx ± ωt) (a) What is ym? mm (b) What is k? rad/m (c) What is ω? rad/s (d) What...
A particle starts from rest at x = -1.8 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and the displacement histories for the 2.0 seconds. Find the time t when the particle crosses the origin. After you have the plots, answer the questions. Chapter 2, Practice Problem 2/015 A particle starts from rest at x = -1.8 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and...
A rocket is fired from rest at x=0 and travels along a parabolic trajectory described by y^2=[170(10^3)x]m. a.) If the x component of acceleration is ax=((1/2)t^2)m/s^2, where t is in seconds, determine the magnitude of the rocket's velocity when t = 11 s. b.) Determine the magnitude of the rocket's acceleration when t = 11 s.
A particle travels along the circular path x2 +y-r, when the time t = 0 the particle it's at-r meter and y =0 m. If the y components of the particle's velocity is Vy 2r cos2t, determine: (a) the x and y components of its acceleration at any instant. (b) Draw the trajectory with the vector velocity and acceleration at t = π/4 sec. (c) calculate the average vector velocity between 0 and t/4 sec. (d) the distance travelled when...
A sinusoidal transverse wave of wavelength 19.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The scale of the vertical axis is set by ys = 4 cm. The wave equation is to be in the form of y = ym sin(kx - ωt + φ). (a) At t = 0, is a...
There is an object, which moves in a circular path with radius of 0.367 m and angular acceleration of 0.12 rad/s a) If the object starts at rest find the time required to get angular velocity of 1.52 rad/s? (2 points) b) Find net linear acceleration of the object at the time of angular velocity of 1.32 rad/s? (4 points) At a particular instant, a 1.5 kg particle's position is r = (21-4j+6k)m, its velocity is Y = (-3i+5j +2k)...
parts a through e please with work. A particle travels along the circular path x2 +y-r, when the time t = 0 the particle it's at-r meter and y =0 m. If the y components of the particle's velocity is Vy 2r cos2t, determine: (a) the x and y components of its acceleration at any instant. (b) Draw the trajectory with the vector velocity and acceleration at t = π/4 sec. (c) calculate the average vector velocity between 0 and...
At time t = 0 and at position x = 0 m along a string, a traveling sinusoidal wave with an angular frequency of 450 rad/s has displacement y = +4.4 mm and transverse velocity u = -0.71m/s. If the wave has the general form y(x, t) = ym sin(kx - ωt + φ), what is phase constant φ?