Kinematics:Sliding Ladder (P) B b 6 C x(t) 2 The point A of the symmetric ladder...
The equation of motion of a particle is described by: OM t-1+(2)1 Determine the equation of trajectory of the particle and plot it on an xy coordinate system. a) b) At which point the motion starts. c) Determine the velocity vector and the acceleration vector of the particle in function of t d) Determine the tangential acceleration, the normal acceleration, and the radius of curvature in function of t. Is this a central acceleration, why or why not? At what...
Question 6 of 8 Question 6 points Save Anawer At a given instant the top B of the ladder has an acceleration ag the instant shown. Note motion to the left has negative velocity 1 ms and a velocilty of va 8m/s both acting downward. Determine the velocity (in ms) of the bottom A of the ladder at Question 5 of 8 Question 5 points Save Anwer At a given instant the top B of the ladder has an acceleration...
PART A PART B PART C PART D (1 point) A mass m = 4 kg is attached to both a spring with spring constant k = 197 N/m and a dash-pot with damping constant c=4N s/m. The mass is started in motion with initial position to 3 m and initial velocity vo = 6 m/s. Determine the position function r(t) in meters. x(1) Note that, in this problem, the motion of the spring is underdamped, therefore the solution can...
Given s(t) = 1, where s is in miles and is in hours, find each of the following. a) v(t) b) aft) c) The velocity and acceleration when t he d) When the distance function is given by the linear function, there is uniform motion What does uniform motion mean in terms of velocity and acceleration? a) (t) = 1 b) alt=1 c) When t = 4 the velocity is miles per hour (Simplify your answer.) When t = 4,...
please help #2(b)) What types of functions are f(x) = e" and g(x) = x". Compare the differentiation formulas for f and 9 # 3,4,6,11,14,19.21) Differentiate the function: # 3) f(x) = 186.5 # 4) f(1) = 30 # 6) (t) = {- 36 +t #11) G(x) = VI - 2* # 14) R(r) = YTO #19) y = +*+47 +3 # 21) v = # 25) Find the equation of the tangent line and normal line to the curve...
Question 2, non-calculator Question 1, calculator The curve C in the x-y-plane is given parametrically by (x(t), y(t), where dr = t sine) and dv = cos| t The Maclaruin series for a function f is given by r" for 1 sts 6 a) Use the ratio test to find the interval of convergence of the Maclaurin series for f a) Find the slope of the line tangent to the curve C at the point where t 3. b) Let...
a = 5, b = 4, c = 6 Find the symmetric equation of the line that passes through the point (a+b+c,a+b+c,a+b+c) and the point of intersection between the lines X = -a +at,y= -b+bt, z=(a+b+c+1)t and x= a +as, y=b+bs,z= -s+a+b+c
6. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...
can you answer two of the questions in the phot please. 1. The point P(4. 8) lies on the curve y-(6-x), Suppose Q is the point (x,1 + (6-x)'). a. Find the slope of the secant line PO for the following values of x. 3. 3.99 4. 3.999 6. 4.1 7. 4.01 8. 4.001 the curve at P b. Use your results from part a to make a guess of the slope of the line tangent to c. Use your...
Consider the function f(x) := v/x= x1/2. 6. (a) Give the Taylor polynomial P(x) of degree 5 about a1 of this function (b) Give the nested representation of the polynomial Qs()Ps((t)) where t -1 ((t)+1). (c) Using the nested multiplication method (also called Horner's algorithm), compute the approximation Ps (1.2) to V (give at least 12 significant digits of P(1.2)) (d) Without using the exact value of 12, compute by hand an upper bound on the absolute error V1.2 A(1.21...