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- Keratinocytes are the most common cells in the skins outer layer. As these approximately circular cells migrate across a wound during the healing process, they roll in a way that reduces the frictional forces impeding their motion. (a) Given a cell body diameter of 1.00 105 m (10 m), what minimum angular speed would be required to produce the observed linear speed of 1.67 107 m/s (10 m/min)? (b) How many complete revolutions would be required for the cell to roll a distance of 5.00 103 m? (Because of slipping as the cells roll, averages of observed angular speeds and the number of complete revolutions are about three times these minimum values.)Determine the moment of inertia ly (in.4) of the shaded area about the y-axis. Given: x = 4 in. y = 9 in. z = 4 in. Type your answer in two (2) decimal places only without the unit. -3 in.. + -X- x- 2 in. у Z X02: Find the moments of inertia about the x-axis, y-axis, and z-axis (I, ly. and I,) for the region lying between the hemisphere z = 4-x-y and the xy-plane. Given that the density p(x, y, z) = k.z where kis a constant region. Draw the
- Calculate the moment of inertia of the shaded area about the x-axis. 72 mm 72 mm 44 mm Answer: Ix = i (10°) mm4 %3!rad/sec. Calculate K.E. of rotation of the earth. calculate moment of inertia about its own axis. Ex. 50 Assuming the earth to be a sphere, If the angular velocity of the earth is 7.3 x 10-5 (R = 6.4 x 10° m, M = 6 x 1024 kg). %3DCalculate the moment of inertia of the shaded area about the x-axis. 134 mm 38 mm -66 mm 66 mm Answer: Ix= i (106) mm4
- Q2:- In fig as shown determine the moment about point (0). 200 N 160 N 250 mm 250 mm 250 mm 240 N1- Locate the centroid of the composite areas shown with respect to x and Y axes. All dimensions are in millimeters. 60 Go 30 GO CO (a) (b) 2. Locate the centroidal xx axis and compute the moment of inertia Ix of the composite areas shown below. Y 80 40 30 10 140 (a) 120 10Determine the moments of inertia of the Z-section about its centroidal xo- and yo-axes. -135 mm- 19 mm 170 mm 19 mm 19 mm 135 mm- Answers: (10°) mm (10°) mm i i
- Determine the moment of inertia about the x-axis. 2.00 14.00 C.G. -x 10.00 8.53 2.00 Ix=420 in4 Ix=176 in4 Ix=596 in4 Ix=422 in4> V in, d, -2.89 in. and dy 1.7 in.. Part A Determine the moment of inertia for the area about the y axis. dx SlavinanExZ: Determine the moment of inertia of the shaded area with respect to the x axis. - 240 mm - a=4r/3pi r= 90.@m 120 mm