A particle is simultaneously subjected to two SHM at right angles to each other. Their equations are x = 3cos 2pie t (cm), y =3cos (2pie t -pie/2 ) (cm). Construct the trajectory of the particle in the xy-plane and show the direction of the motion
We need at least 10 more requests to produce the answer.
0 / 10 have requested this problem solution
The more requests, the faster the answer.
A particle is subjected simultaneously to two simple harmonic motions of the same frequency and direction in accordance with following equations: 1 x t = 6sin (cm) and x t 2 = + 8sin 3 ( ) (cm), = 2 rad/s. Find the amplitude of the resultant motion, and show it in graphical form.
Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x = 2 sin t, y = 5 cost, osts 21 3+ 2+ 1+ -3 4
Given parametric equations and parameter intervals for the motion of a particle in the xy-plane below, identify the particle's path by finding a Cartesian equation for it Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x=5 cos (t), y = 2 sin(t), Osts 2t The Cartesian equation for the particle is Choose the correct graph that represents this motion, OA ОВ. OC OD Q 2 Click to select your...
According to the given equations of motion of the particle M determine the type of trajectory and for a moment of time t=t_1, find its position on the trajectory, its velocity , total tangential and normal acceleration , and a radius of the trajectory curvature. a) X=-2t^2+3,(cm), Y=-5t(cm) , t_1=0.5(s) b) X=-3/(t+2), Y=3t+6, t_1=2
The equation below gives parametric equations and parameter intervals for the motion of a particle in the xy-plane. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x= 4t + 1, y= 16t; -oo<t<o0 Find a Cartesian equation for the particle's path. y = Graph the Cartesian equation below. Indicate the direction of motion as t increases. Choose the...
could you please answer it please with show work thanks QUESTION 1 Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x = 36+ 2 y = 6t. Stse y=x2 1++++ Entire parabola, left to right (from second quadrant to origin to...
The equations of motion for a particle of mass m and electrical charge q under the influence of a uniform magnetic field B perpendicular to the plane of motion are mx" = qBy' and my" = -qBx'. where x and y are the horizontal Cartesian position coordinates of the particle. Suppose that the particle initially satisfies the conditions Solve the initial value problem and sketch out the trajectory of the particle for t Greaterthanorequalto 0.
(2) Velocity Vectors Consider the curve given by the position vector: r(t) =< 3cos(t), 5sin(t), 4cos(t) > (2a) Find the velocity vector for this trajectory. (2b) Find the speed for a particle moving along this trajectory. (20) At what point (a,b,c) does the position vector pass through the xy-plane?
A particle moves on x-y plane according to the equations x = a cos (wt), y = b sin (wt). 1 - Show that its trajectory is an ellipse? 2 - Calculate the values of its velocity v(t) = |v(t)| and acceleration a(t) = |a(t)| ? 3 - What are the maximal and minimal values of v(t) and a(t) ? I think for the first part the answer is as the following image. Please correct me if my answer is...
The parametric equations and parameter intervals for the motion of a particle in the xy-plane are given below. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x = 6 cos (2t), y = 6 sin (2), Ostst The Cartesian equation for the particle is . Choose the correct graph that represents this motion. ОА. H INFO NULLA LLLLLLER...