Three small spherical masses are located in a plane at the positions shown below. Y (m) 4 3 2 1 0 -2 -3 S R -4 -5 -4 -3 -2 -1 8 1 X (m) 345 The masses are Q=0.800 kg, R=0.700 kg, and S=0.400 kg. Calculate the moment of inertia (of the 3 masses) with respect to an axis perpendicular to the xy plane and passing through x=0 and y=-3. [Since the masses are of small size, you can neglect the contribution due to moments of inertia about their centers of mass.] 28.8kg m^2

Determine the moments of inertia in x and y axes (in mm^4)

Compute the moment of inertia about the y axis in x10^6 mm^4

A 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.

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 above

Calculate the moment of inertia about centroidal axis.

For the figure shown knowing that a = 1.00 cm and b = 4.00 cm, determine:a) The centroid of the figure shownb) The moments of inertia Ix and Iy and the product of inertia Ixy around the x and y axes.c) The angle  θm corresponding to the location of the main axes.d) For the u-v axes shown and obtained by rotating an angle  θ= 34.0 ° clockwise, the corresponding moments and product of inertia using Mohr's circle.

Determine the product of inertia of the area shown with respect to the x and y axes.

a.) if the given y-axis is located at the centroidal y-axis (as shown). Determine the location of centroidal x-axis from the given x-axis. b.) Calculate the moment of inertia about the centroidal x-axis. c.) Compute the moment of inertia about the centroidal y-axis

Calculate the moment of inertia with respect to the X-X centroidal axis