CALCULUS:GRAPHICAL,NUMERICAL,..-PACKAGE
5th Edition
ISBN: 9780133320381
Author: Finney
Publisher: SAVVAS L
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Students have asked these similar questions
Let r(t)
(15, cos t, -3 sin t) be the position vector of an object. Find the velocity
and speed of the object.
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) -
=
(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.
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- A gear train consists of three gears meshed together (Figure 9). The middle gear is known as an idler. Show that the angular velocity of the third gear does not depend on the number of teeth of the idler gear (Gear 2).arrow_forwardA two-stage gear train consists of four gears meshed together (Figure 10). The second and third gears are attached, so that they share the same angular velocity (2=4). Find a formula giving the angular velocity of the fourth gear, 2, in terms of 1 and the values of n1,n2,n3andn4.arrow_forwardThe 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 Harrow_forward
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