Obtain expressions in component form for the position vectors having the following polar coordinates. (a) 13.0...
Obtain expressions in component form for the position vectors having the following polar coordinates.
(a) 13.0 m, 130
Homework Answers
a) R = 13 cos 130 + 13 sin 130
= -8.36 i + 9.96 j
b) R = 4.2 cos 40 + 4.2 sin 40
= 3.22 i + 2.69 j
c) R = 2.4 cos 230 + 2.4 sin 230
= -1.54 i - 1.84 j
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Obtain expressions in component form for the position vectors
having the following polar coordinates.
(a) 13.0...
Obtain expressions in component form for the position vectors having the following polar coordinates. (a) 12.0...
Obtain expressions in component form for the position vectors having the following polar coordinates. (a) 12.0 m, 140° counterclockwise from the +x axis R with arrow = m (b) 4.00 cm, 50.0° counterclockwise from the +x axis R with arrow = cm (c) 20.0 in., 214° counterclockwise from the +x axis R with arrow = in.
Section 3.4 Components of a Vector and Unit Vectors 15. A vector has an x component...
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1. Add the following vectors. Express your final answer in polar coordinates: (r,). a. ří =...
1. Add the following vectors. Express your final answer in polar coordinates: (r,). a. ří = 200 m, due North & ra = 300 m, 30° South of East b. É = 200 N due North & = 300 N due East & F3 = 100 N 45° South of East
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show work please.
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(a) In Cartesian coordinates, the unit vectors r and φ are related to the unit vectors...
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A particle's motion is described in Cartesian coordinates with the following expressions. x = 2t^2 +...
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Section 3.4 Components of a Vector and Unit Vectors 15. A vector has an x component of -25.0 units and a y W component of 40.0 units. Find the magnitude and this int to Chi direction of this vector. 19.Obtain expressions in component form for the posi- Mtion vectors having the polar coordinates (a) 12.8 m, and C ar D i 150°; (b) 3.30 cm, 60.0°; and (c) 22.0 in., 215. B) What is the total distance she travels? 21....
1. Add the following vectors. Express your final answer in polar coordinates: (r,). a. ří = 200 m, due North & ra = 300 m, 30° South of East b. É = 200 N due North & = 300 N due East & F3 = 100 N 45° South of East
show work please.
Position and Velocity Vectors A squirrel has x- and y-coordinates {1.1 in, 3.4 m) at time t_1 = 0 and coordinates (5.3 m, -0.5 m) at time t_2 = 3.0 s. For this time interval, find (a) the components of the average velocity, and (b) the magnitude and direction of the average velocity. A rhinoceros is at the origin of coordinates at time t_1 = 0.
(a) In Cartesian coordinates, the unit vectors r and φ are related to the unit vectors x and y by Using these expressions, and r-rr, derive Eqs. (1.48) for Fr and Fo: F, m(ř_rơ), = 1.48: (Unlike r and ф. æ and y do not change with time.) (b) Consider a particle that feels an angular force only, of the form Fo mro. (There is nothing physical about this force; it simply makes the F-ma equations solv- able.) Show that...
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A particle's motion is described in Cartesian coordinates with the following expressions. x = 2t^2 + 5t + 6. y = 7ln (t) + 1, and t greaterthanorequalto 1 where x and y are in metres, and t is in seconds Consider the particle's motion at t = 1.97seconds. (a) What is the particle's speed, vat this instant? (b) What is the magnitude of the particle's acceleration, a at this instant? (c) What is the angle between the particle's acceleration...
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