The position of a particle is defined by s=6t²-8+40cosπt.find the position , velocity and acceleration of the particle at time t=6 seconds
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- The position of a particle is described by r = (t3 + 4t − 4) mm and θ = (t3/2) rad, where t is in seconds. Determine the magnitudes of the particle’s velocity in m/s at the instant t = 2s.8 A 2.05 μC charged ball is placed in an electric field as shown in the figure above. The ball has a mass of 2.46 g. The electric field causes the charge to deflect 22.8°. Find the electric field that causes this deflection. E =ENGINEERING MECHANICS
- The position coordinate of a particle which is confined to move along a straight line is given by s = 2t³ - 24t + 6, where s is measured in meters from a convenient origin and t is in seconds. Determine (a) the time required for the particle to reach a velocity of 72 m/s from its initial condition at t = 0The motion of a particle is defined by the parametric equations ax =0.8t, ay =2–0.3t, az =5 where “a” is in m/s2 and t in seconds.The particle is at rest and is placed at the origin at t = 0. What is the acceleration of the particle after 10 seconds? What is the velocity of the particle after 10 seconds?A curvilinear motion of a particle is defined by Vx = 40-15t and y=75-3t^2, where Vx is in meters per second, y is in meters and t is in seconds. It is also known that x = 0 when t = 0.(a) Which of the following gives the nearest value of the second value of time “t” when “x” will be equal to 0.(b) Which of the following gives the nearest value of the velocity when x=0 at the second value of time.(c) Which of the following gives the nearest value of the acceleration when x=0 at the second value of time.
- A velocity field with no components in the y and z direction is given by: V = 6 + 2xy + t2. The acceleration along the x-direction at a point (3, 1, 2), at time 2, is: (a) 8 units (b) 16 units (c) 28 units (d) 36 units(read image)Example A particle moves in the X-Y plane with a constant acceleration of 1.5 m/s² in the direction making an angle of 37° with the X-axis. At t = 0 the particle is at the origin and its velocity is 8.0 m/s along the X-axis. Find the velocity and the position of the particle at t = 40 s. 37° a = 1.5 m/s² u = 8.0 m/s Figure 3.9 ---X
- A particle moves along a straight line such that its position is defined by s= (t 2 - 6t + 5) m. Determine the average velocity of the particle when t = 6 sYou must show all pertinent solutions and the illustration that supporting the answer. Please list the given and the formula that had been used. Box the answer. Please complete the prodecure and the solution and the figure.1. The angular displacement of the robotic arm of Figure 1 is programmed according to the relationship 0 = (1/t)(sin nt), where 0 and t are expressed in radians and seconds, respectively. Simultaneously, the arm is programmed to extend so that the distance to A follows the relationship r= 4(1+e2"), where r and t are expressed in feet and seconds, respectively. When t = 1.5 s, determine (a) the velocity of point A, (b) the acceleration of point A. A Figure 1