Find the moment of inertia about the x and y axis for the region shown below. y 500 50 80 -140- -140- 80- 60 400 500 50 500
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- Determine the moment of Inertia of the quarter of the circle having a radius of 5m shown in the figure with respect to the centroidal x- axis. a.) 68.750 m⁴ b.) 34.375 m⁴ c.) 137.500 m⁴ d.) 343.75 m⁴ e.) None of the aboveA thin empty frame is hung along side A (see figure). Side A is 1.08 m long and side B is 0.9446 m long. Side C is hit by a bullet with a mass of 21.51 g, an initial speed of 188.825 m/s and a final speed of −113,566 m/s. Calculate the rotational speed of the frame after the ball has bounced against it if the frame rotates frictionlessly about the z-axis and the mass moment of inertia of the frame around this axis is 1,563 kg · m². Assume that the ball bounces straight back after the impact.Calculate the moment of inertia of around the x-axis a=20mm b=30mm c=30mm d=42mm e=23mm f=10mm
- Compute the moment of inertia about the y axis in x10^6 mm^4Determine the smallest moment of inertia I required for the beam shown so that its maximum deflection does not exceed the limit of 1/360 of the span length (L/360). Let E=200 GPa. A. 6355 (10^6) mm^4 B. 6552 (10^6) mm^4 C. 5625 (10^6) mm^4 D. 5256 (10^6) mm^4Calculate the moment of inertia about x axis (lx) and about y axis(ly) for the given shape .
- calculate the centroid and moment of inertiaA hemispherical tank of diameter 4 m contains water up to a height of 2.0 m. An orifice of diameter 50 mm is provided at the bottom. Find the time required by water to fall from 2.0m to 1.0m. Take Cd=0.60. 1814 seconds 3600 seconds 2582 seconds 3179 secondsCalculate the moment of inertia about the centroidal x- and the centroidal y-axes for the shape shown below.
- A 250-newton force is acting on the machine arm shown below. What is the moment of this force about point O in Newton-meters? Note: All linear dimensions are in millimeters. Also draw the free body diagram and answers should be in 3 decimal places.Calculate the moments of inertia of the area in question 2 about the X-X and Y-Y centroidal axes.Calculate the moment of inertia with respect to the X-X centroidal axis