as a 1.4 kg mass at each corner. The length of each side is d=3.9 m What is the moment of inertia I of this structure about an axis perpendicular to the plane of the square and through the

N) Compute the moment of inertia of a solid ball of radius a about an axis if it is made of a material of constant density D (Hint: Set up the integral for I,+I, +I,, convert to spherical coordinates, integrate then divide the result by three.) Would this be much harder if the density depended on radius? How would the calculation change? The following integral is expressed in herical coorainates sp ates.

Four point masses, m¡ = 2 kg, m2 = 3 kg, m3 = 4 kg and m4 5 kg are on the x axis as shown in the figure below. mi m2 m3 1.0 2.0 3.0 4.0 x (m) Find the moment of inertia of the above system about an axis of rotation that is perpendicular to the page and passes through x = 4 m. Find the moment of inertia of the above system about an axis of rotation that is perpendicular to the page and passes through x = 3 m.

The moment of inertia of a sphere of mass M is  where M is its mass and R is its radius. What is the kinetic energy of rotation in a sphere of mass 5.2 kg, if its radius is 0.46 meters and it is rotating 3.72 times per second? Give your answer in joules.

A 3 kg point mass is at coordinates (8 m, 7 m), a 7 kg mass is at (-9,3) and a 4kg mass is at (x,y) of (2,-4).  Find the moment of inertia about the x axis. Ix = __________ kg-m2   ROUND TO 3 DECIMAL PLACES

Computation. Consider a stick 1.00 m long and its moments of inertia about axes perpendicular to the stick's length and passing through two different points on the stick: first, a point at its center and second, a point 24 cm from one end. Calculate the ratio I2/11, the ratio of the second moment of inertia to the first. 55 Record your numerical answer below, assuming three significant figures. Remember to include a "_" as necessary. == O Search

please solve symbolically before using numbers

Problem 3: Suppose we want to calculate the moment of inertia of a 65.5 kg skater, relative to a vertical axis through their center of mass. Part (a) First calculate the moment of inertia (in kg m2) when the skater has their arms pulled inward by assuming they are cylinder of radius 0.11 m. sin() cos() tan() 7 8 9 HOME cotan() asin() acos() E 4 5 atan() acotan() sinh() 1 3 cosh() tanh() cotanh() END ODegrees O Radians Vol BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) Now calculate the moment of inertia of the skater (in kg m?) with their arms extended by assuming that each arm is 5% of the mass of their body. Assume the body is a cylinder of the same size, and the arms are 0.825 m long rods extending straight out from the center of their body being rotated at the ends.

A 6 kg point mass is at coordinates (9 m, 4 m), a 7 kg mass is at (-6,2) and a 7kg mass is at (x,y) of (9,-2). Find the moment of inertia about the x axis. Ix = kg-m2

A 1.10-kg particle moves in the xy plane with a velocity of Need Help? Read It = (3.70 1-3.70 ĵ) m/s. Determine the angular momentum of the particle about the origin when its position vector is = (1.50 î+ 2.20 ĵ) m. k) kg - m²/s Watch It