(10%) Problem 9: A uniform density sheet of metal is cut into the shape of an isosceles triangle, which is oriented with the base at the bottom and a corner at the top. It has a base B =31 cm, height H = 13 cm and area mass density o. dy I H B Otheexpertta.com @theexpertta.com - tracking accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbiome Poing so may result in termination of your Expert TA Account. A 14% Part (a) The horizontal center of mass of the sheet will be located: OOn the center line. ONot enough information to determine. Grade Summary Deductions 0% O To the left of the center line. O To the right of the center line. Potential 100% Late Work % 50% Late Potential 50% Submissions Attempts remaining: 3 (33% per attempt detailed view Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 2% deduction per feedback. 4 14% Part (b) The vertical center of mass of the sheet will be located: A 14% Part (c) Write a symbolic equation for the total mass of the triangle. A 14% Part (d) Consider a horizontal slice of the triangle that is a distance y from the top of the triangle and has a thickness dy. Write an equation for the area of this slice in terms of the distance y, and the base B and height H of the triangle A 14% Part (e) Set up an integral to calculate the vertical center of mass of the triangle, assuming it will have the form C ) f(v) where C has all the constants in it and f() is a function of y. What is f(v)? 4 14% Part (f) Integrate to find an equation for the location of the center of mass in the vertical direction. Use the coordinate system specified in the previous parts, with the origin at the top and positive downward. 4 14% Part (g) Find the numeric value for the distance between the top of the triangle and the center of mass in cm.(10%) Problem 10: A rod is laid out along the x-axis with one end at the origin and the other end at x = L. The linear density is given by the following: o (xX) = Pot ( P1-P0) (x/[). where po and py are constant values. @theexpertta.com - tracking n accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. A For 1 = 0.95 m. po = 1.6 kg/m, and py = 7.7 kg/m, determine the center of mass of the rod, in meters. Grade Summary XCOM = Deductions 0% Potential 100% Late Work % 50% sin() cos() tan() 7 9 HOME Late Potential 50% cotan() asin( acost E 4 5 6 Submissions atan( acotan() sinhQ 2 3 Attempts remaining: 5 cosh() tanh() cotanh() + END (4% per attempt detailed view O Degrees O Radians VO BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 3 Feedback: 2% deduction per feedback.(10%) Problem S: Three beads are placed along a thin rod. The first bead, of mass m1 = 26 g, is placed a distance dj = 1.1 cm from the left end of the rod. The second bead, of mass my = 15 g, is placed a distance d2 = 2.1 cm to the right of the first bead. The third bead, of mass my = 51 g, is placed a distance d; = 3.4 cm to the right of the second bead. Assume an x-axis that points to the right m m z m 3 -d,+ d Otheexpertta.com @theexpertta.com - tracking id accordance with Expert TA's Terms of Service. copying this information to any solutions sharing website is strictly forbidden. Doing so may result in termination of your Expert TA Account. A 25% Part (a) Write a symbolic equation for the location of the center of mass of the three beads relative to the left end of the rod, in terms of the variables given in the problem statement. Grade Summary Xem = Deductions Potential 100% Late Work % 50% B e 7 8 9 HOME Late Potential 50% d 4 5 6 Submissions g 3 Attempts remaining: 5 0 END 4% per attempt) detailed view P t NO BACKSPACE CLEAR Submit Hint Feedback I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 2% deduction per feedback. A 25% Part (b) Find the center of mass, in centimeters, relative to the left end of the rod. & 25% Part (c) Write a symbolic equation for the location of the center of mass of the three beads relative to the center bead, in terms of the variables given in the problem statement. & 25% Part (d) Find the center of mass, in centimeters, relative to the middle bead