A wire of density 9gm/cm^3 is stretched between two clamps 100cm apart subjected to an extension of 0.05 cm. What is the lowest frequency of transverse vibrations in the wire, assuming the Young's modulus to be 9x10^11 dynes/cm^ ?
The displacement (in meters) of a wave is y= 0.26 sin (pi *t-3.7 pi *x), where t is in seconds and x is in meters. (a) Is the wave traveling in the +x or -x direction? (b) What is the displacement y when t= 38 seconds and x= 13 meters?
Determine the position of the center of mass of a thin parabolical shell defined by z = a^2 - r^2 in cylindrical polar coordinates, glued to a flat bottom where z = 0, r < a of the same thickness.
Asking problem: Divide the parabolic spandrel shown into five vertical sections and determinate by approximate means the x coordinate of its centroids; approximate the spandrel by rectangles of the form bdd'b'. Note: The drawing file is in word97 format for PC and not for MAC. My question is how can I determine the area of
The asking problem: Show that when the distance h is selected to maximize the distance Y from line BB' to the centroid of the shaded area, we also have Y=h. Note: The Y is relating to the centroid Y of the area. The drawing is in word97 format for PC and not for MAC. My problem is I don't know how can I demonstrate this. Ca
Three problems for practice. View the pdf file below for additional clarity. a) x^5 upper limit 1, lower limit 0 b) 3x^2 upper limit 2, lower limit 1 c) x^n upper limit 1, lower limit 0
Various questions for integration practice. This is important to grasp when dealing with many physics problems. Attachments in PDF format.
Various questions to practice with integration. Integrate the following; a) x^6 b) 3x + x^2 c) 1/(x^2) d) ax + b e) x^p + x^q View the pdf file for the best clarity.