Consider the three masses m_1 = 2;m_2 = 1; m_3 = 3w rich are located at the poin

Question

Consider the three masses m_1 = 2;m_2 = 1; m_3 = 3w rich are located at the points P_1 = (0,5); P_2 = (6,4); P_3 = (4,8), Find M_y the e moment of the system about the y.axis. select one: a. 102 b. 38 c. 6 d. 60 e. 18 Consider the three masses m_1 = 2; m_2 = 1; m_3 = 3 which are located at the points P_1 = (0,5); P_2 = (6,4); P_3 = (4;8), Find the coordinates of the center of mass of the system. Select one: a. (19/3,3) b. (18,38) c.(9,19) d. (38,18) e. (3, 19/3) According to the book, If the region R lies between two curves y = f(x) and y = g(x), where f(x) Greaterthanorequalto g(x) then x = 1/A integral^b_a x(x) - g(x)dx and y = 1/A integral^b_a 1/2((x)]^2 - [g(x)]^2)dx. Select one: True False Find the coordinates (x, y)of the centroid of the region bounded by y = x^3 and y = squarerootx on the nterval [0, 1] Select one: a. (12/25,4/7) b. (3/7,5/28) c. (5/28,1/5) d. (12/25,3/7) e. (3/7,12/25)

Explanation / Answer

1) My = m1x1+m2x2+m3x3+..........

My = 2 *0 + 1*6 +3 *4 = 18 -----OPTION E

2)

x = My/M and y = Mx/M

M = 2+1+3 = 6

My = 2 *0 +1 *6+ 3 *4 = 18

Mx = 2 *5 + 1*4 + 3 *8 = 38

so centroid = ( 18/6 , 38/6) = ( 3, 19/3) -------OPTION E

3) true

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