L." J.U 1.; :5... . . . of ' ' s mmetric about its axus #1- The following object is made ofa bent thin plastic rod. The nal shape shown is y symmetry. 3) Draw the axis of symmetry. Label it?using a blue pen. \\ b) The arrows shown are the xaxis and y-axis with arrowheads on the positive side of each axis. In math and science, the direction ofthe z-axis obeys the right-hand rule T x j' = [5, where if, and k are vectors with magnitude 1 \\ and which point in the x, y, and z direction, \\ respectively. I have labeled the z-axis with the symbol , which means \"into the page" (as \\ opposed to O, which means "out of the page.") Label the given arrowheads with their \\ appropriate names x and y. Suppose that the density of the plastic is increasing as x increases such that the linear density /1 obeys the function Mx) = 4.00 + 3.0025 g/cm. What is the mass of the entire object if each of the rods are 5 cm long (Note: the fact that I gave you linear density implies that you don't need to worry about the FD dm. Also note that thickness of the wire)? Recall that, for a continuous object, you should use M = f =a dm = ldx and that the original object is made up of two pieces. You can use the power rule for your integral. M = __ kg x=b _ xdm . . . . d) Use If\" Locate the center of mass and label that polnt (including coordinates) as C. Please use a blue pen. e) Assume that the object is now slid (not twirled) along the x-dlrection across a patch of ice such that we 1.50% and v0 = 120.00 531- What are the initial linear and angular momenta of the object (answer SEC using units of g-mZ/s and g-m/s)? Linear: Angular: f) it the ice has a coefficient of friction ,us 2 0.10, what will the linear velocity of the object be after 1.00 seconds? Answer in cm/sec. I]: g) How much work was done on the object by the frictional force by the time it has stopped sliding