The coordinates of the point in the - coordinate system with the given angle of rotation and the xy-coordinates.
The coordinates of the point in the - coordinate system with the given angle of rotation and the xy-coordinates.
Suppose the x- and y- axes are rotated about the origin through a positive acute angle
Given:
The angle of rotation is
Calculation:
Use the definition, substitute the values of x-, y- coordinates and
Know that
Thus, the
=1
Therefore, the coordinates of the point the
A majorette in a parade is performing some acrobatic twirlingsof her baton. Assume that the baton is a uniform rod of mass 0.120 kg and length 80.0 cm.
With a skillful move, the majorette changes the rotation ofher baton so that now it is spinning about an axis passing throughits end at the same angular velocity 3.00 rad/s as before. What is the new angularmomentum of the rod?
find the solution to the initial value problem using the laplace Transform.
Response rates to Web surveys are typically low, partially due to users starting but not finishing the survey. The factors that influence response rates were investigated in Survey Methodology (Dec. 2013). In a designed study, Web users were directed to participate in one of several surveys with different formats. For example, one format utilized a welcome screen witb a white background, and another format utilized a welcome screen with a red background. The "break-off rates," i.e., the proportion of sampled users who break off the survey before completing all questions, for the two formats are provided in the table.
a) Verify the values of the break-off rates shown in the table.
b) The researchers theorize that the true break-off rate for Web users of the red welcome screen will be lower than the corresponding break-off Tate for users of the white welcome screen. Give the null and alternative hypotbesis for testing this theory.
c) Conduct the test, part b, at