r(t) := R-cos(wt)-i + R-sin(wt)-j where R and w are constant (a) What are the Sl unts for "R" and "w" ? (note the argument of the cosine and sine must be dimensionless) (b) Find the Velocity of the object (c)Find the MAGNITUDE of the VELOCITY expressed in terms of "R" and 'w'. (d) Find the Acceleration of the object (e) Find the MAGNITUDE of the Acceleration expressed in terms of "R" and 'w' (f) Make a graph of the particle's "orbit" equation by making a plot of the y-position vs x-postion for the following times. Assume R=1"units as answered in part (a)" to = Os ti -1 0.785 w -1 t2 = 1.571 w 1 t3 = 2.356w %3D 1 -1 t6 = 4.712 w 1 t4 = 3.142 w t5 = 3.927w1 7 = 7-w You can use Excel or a math program to make graph or you can do by hand (g) Based on the answers to the above questions, what type of motion in the particle perfomring?

r(t) := R-cos(wt)-i + R-sin(wt)-j where R and w are constant (a) What are the Sl unts for "R" and "w" ? (note the argument of the cosine and sine must be dimensionless) (b) Find the Velocity of the object (c)Find the MAGNITUDE of the VELOCITY expressed in terms of "R" and 'w'. (d) Find the Acceleration of the object (e) Find the MAGNITUDE of the Acceleration expressed in terms of "R" and 'w' (f) Make a graph of the particle's "orbit" equation by making a plot of the y-position vs x-postion for the following times. Assume R=1"units as answered in part (a)" to = Os ti -1 0.785 w -1 t2 = 1.571 w 1 t3 = 2.356w %3D 1 -1 t6 = 4.712 w 1 t4 = 3.142 w t5 = 3.927w1 7 = 7-w You can use Excel or a math program to make graph or you can do by hand (g) Based on the answers to the above questions, what type of motion in the particle perfomring?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 2.10CYU: Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by...

See similar textbooks

Similar questions

Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
If three vectors sum up to zero, si1at geometric condition do they satisfy?
Is it possible for two vectors of different magnitudes to add to zero? Is it possible for three vectors of different magnitudes to add to zero? Explain.
Which of the following is a vector a person’s height, the altitude on Mt. Everest, the velocity of a fly, the age of Earth, the boiling point of water, the cost of a book, Earth’s population, or the acceleration of gravity?
Suppose you add two vectors A and B . What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction between them produces the resultant with the smallest magnitude? What is the minimum magnitude?
If one of the two components of a vector is not zero, can the magnitude of the other vector component of this vector be zero?
An ion's position vector is initially r==(5i-6j+2k)m, and 10 s later it is r=(-2i+8j-2k)m.In unit-vector notation ,what is its Vavg during the 10s?
what is the magnitude of the vector (10i-10k) m/s?
From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 9.50 m/s and angle of 15.0° below the horizontal. It strikes the ground 6.00 s later. (a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.) xi =____ yi =_____ (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity. vi, x =____ m/s vi, y =____ m/s c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.) x =______ m y =_______ m (d) How far horizontally from the base of the building does the ball strike the ground? ___m (e) Find the height from which the…
From the window of a building, a ball is tossed from a height y0 above the ground with an initial velocity of 8.30 m/s and angle of 25.0° below the horizontal. It strikes the ground 6.00 s later.(a) If the base of the building is taken to be the origin of the coordinates, with upward the positive y-direction, what are the initial coordinates of the ball? (Use the following as necessary: y0. Assume SI units. Do not substitute numerical values; use variables only.)xi = yi = (b) With the positive x-direction chosen to be out the window, find the x- and y-components of the initial velocity.vi, x = m/svi, y = m/s (c) Find the equations for the x- and y-components of the position as functions of time. (Use the following as necessary: y0 and t. Assume SI units.)x = my = m (d) How far horizontally from the base of the building does the ball strike the ground? m (e) Find the height from which the ball was thrown. m (f) How long does it take the ball…