A particle starts from rest at (0,0,0) at t=0
with velocity vector V=(3t2i-4tj+2t3k)m/s.
5) Find the equation of the osculating plane at t=4s in Cartesian coordinates
v = (3t^2i - 4tj + 2t^3k)
ds/dt = (3t^2i - 4t j + 2t^3 k)
integration both sides we have
s(t) = t^3i - 2t^2j + t^4/2 k
s(4) = 4^3 i - 2*4^2j + 4^4 / 2 k
= 64i - 32j + 128k
A particle starts from rest at (0,0,0) at t=0 with velocity vector V=(3t2i-4tj+2t3k)m/s. 5) Find the...
A particle starts from rest at (0,0,0) at t=0 with velocity vector V=(3t2i-4tj+2t3k)m/s. 1) Find the velocity vector and acceleration vector at t=4s a) in rectangular coordinates b) in cylindrical coordinates c) in natural coordinates (n,t)
At t = 0 s, a particle starts from the origin of a coordinate system and moves in the xy plane with a velocity ~v = (7.9ˆi − 3.2ˆj) m/s. Determine the x position of the particle at t = 2.0 s.
At t=0 s, a particle is observed to have position vector Ro= (-3.5,4.0) m. and velocity vector Vo= (21,12.3) m/s. The particle’s acceleration is constant and has been determined to be a= (2.1,5.4) m/s^2. a)Determine the particle’s velocity (in Cartesian vector form- (Vx,Vy)) at T= 10.5s. b)What is the particle’s position (in Cartesian vector form- (x,y)) at T=10.5 s ?
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 particle starts from the origin at t = 0 with a velocity of (8.3j hat) m/s and moves in the xy plane with a constant acceleration of (3.2i hat + 1j hat) m/s2 . At the instant the x coordinate of the particle is 29 m, A. what is the value of its y coordinate and B. its speed
Chapter 2, Practice Problem 2/015 A particle starts from rest at x = -3.7 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and the displacement histories for the 4.4 seconds. Find the time t when the particle crosses the origin. After you have the plots, answer the questions. , m/s 5.1 4,4 2.2 1,7 Questions At t 0.73 s m/s2 m/s, a At t 1.41 5, m/s, a m/s2 m v At t...
A particle starts from rest at r->0 =9.0
j^m and moves in the xy-plane with the velocity
shown in the figure (Figure 1) . The particle passes through a wire
hoop located at r->1 =20 i^m, then continues
onward.
At what time does the particle pass through the hoop?
A particle starts from rest at r- > 0 =9.0 j^m and moves in the xy-plane with the velocity shown in the figure (Figure 1) . The particle passes through a...
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vector v i = (3.00 i - 2.00 j) m/s and is at the origin. At t = 3.60 s, the particle's velocity is vector v = (8.90 i + 7.70 j) m/s. (Use the following as necessary: t. Round your coefficients to two decimal places.) (a) Find the acceleration of the particle at any time t. vector a = m/s2 (b)...
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vector v i = (3.00 i - 2.00 j) m/s and is at the origin. At t = 3.70 s, the particle's velocity is vector v = (7.40 i + 6.90 j) m/s. (Use the following as necessary: t. Round your coefficients to two decimal places.) (a) Find the acceleration of the particle at any time t. vector a = m/s2 (b)...
A stock car starts from rest at time t=0 with velocity (m/s) increasing for 3.7 s , according to the function vx=1.4t2+1.1t. Find the average acceleration for this interval