Chapter 11.2, Problem 28E

A PARTICLE MOVES WITH A SPEED OF 2 m/s IN THE DIRECTION OF THE VECTOR a=(5,-3,2) determine the x, y, and z components of the velocity vector

A particle traveling in a straight line is located at the point (1, -1, 2) and has speed 2 at time t = 0. The particle moves toward the point (3, 0, 3) with constant acceleration 2i + j + k. Find its position vector r(t) at time t.

(14) The straight line L passes through the origin O and is in the direction i+mj. The straight line L' passes through the point A whose position vector is ai and is in the direction i+m'j. Write down the vector equations of L and L' and find the position vector of their point of intersection.

A particle is moving along the curve having the vector equation R(t) = 4 cos ti + 4 sin tj + 6tk. Find the magnitude of velocity and acceleration vectors when t = 2

The motion of a point on the circumference of a rolling wheel of radius 5 feet is described by the vector function F(t) = 5(24t - sin(24t))i +5(1 - cos(24t))j Find the velocity vector of the point. v(t) Find the acceleration vector of the point. ä(t) 2880 sin (24t)i + 2880 cos (24t)j✔ CABAME 120(1- cos (24t) )i + 120 sin (24t)j✔ Find the speed of the point. s(t) 240 sin (12t) wwwww Submit Question X Q Search EO H

The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = 6 cos ti + 6 sin tj (3V2, 3V2) (a) Find the velocity vector v(t), speed s(t), and acceleration vector a(t) of the object. v(t) = s(t) a(t) (b) Evaluate the velocity vector and acceleration vector of the object at the given point. E) - =

(5) Cable AB exerts a 10 kN tension force on boom BC at point B. Express the tension force as vector and determine the angles which the tension force forms with +x-, +y-, and +z-axes. Ans: T = 4.061-7.61ĵ+5.07Â kN, = 0x 66.1°, 0, 139.5°, 0₂ = 59.5° = t 4 m T = 10 kN B 5 m 5 m 2.5 m

Q3: A particle traveling in a straight line is located at the point (1,-1,2) and has speed 2 at time t = 0. The particle moves toward the point (3, 0,3) with constant acceleration 2i+j+ k. Find its position vector r(t) at time t.

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