Four point particles, each with mass 1/4m, are connected by massless rods so that they form a square whose sides have length a.
A) what is the moment of inertia I (COR) of this object if it is spun around an axis going through the center of the square perpendicular to the plane of the square?(COR: Center Of Rotation)
B) what would be the moment of inertia I (AOR) of the square if it were spun around axis going through one particle and its diagonal opposite? (AOR: Axis of Rotation)
C) Explain why we cannot apply the parallel Axis Theorem to find I (AOR) in terms of I (COR) in this case.
Four point particles, each with mass 1/4m, are connected by massless rods so that they form...
Four identical particles of mass m each are placed at the vertices of a square with side length a and held by four massless rods, which form the sides of the square. (Use any variable stated above.) a. What is the rotational inertia of this rigid body about an axis passes through the midpoint of opposite sides and lies in the plane of the square? b. What is the rotational inertia of this rigid body about an axis that passes through...
Four masses are at corners of a rectangle connected by massless
rods as shown in Figure 0.27.
(i) What is the moment of inertia of the system when the axis of
rotation is along the x-axis?
(ii) What is the moment of inertia of the system when the axis
of rotation is along the y-axis?
(iIi) What is the moment of inertia of the system when the axis of
rotation goes through point O and is perpendicular to the
xy-plane....
Problem 9-43: Four particles at the corners of a square with a side length L-5.00m are connected by massless rods. The particle masses are m1= m4=5.00kg and m2= m3 particles with equal masses are located at opposite corners of the square. Find the moment of inertia of the system about the z-axis that passes through a corner of the square where the particle has a mass of m=15.00kg. 15.0 kg. Pairs of Tries 0/10 Submit Answer
Four masses, connected by massless rods, form a square of side 2.40 m, as shown. Find the center of mass of the system. 2.Ym ANSWER: For the arrangement in the previous problem, find the moment of inertia for rotation about the diagonal of the square that passes through the origin. ANSWER
6. (BONUS) Two particles each with mass m = 0.4 kg, are fastened to each other, and to a rotation axis at 0, by the two thin rods, each of length d and mass M = 1.5 kg as shown below. The combination rotates around the rotation axis with angular speed w = 0.2 rad/s. The total moment of inertia of the system measured about O is 2.3 x 10-4 kg m?. (Hint: The moment of inertia of a thin...
Four particles at the corners of a square with a side length L=2.00m are connected by massless rods. The particle masses are m1= m4=4.00kg and m2= m3 = 16.0 kg. Pairs of particles with equal masses are located at opposite corners of the square. Find the moment of inertia of the system about the z-axis that passes through a corner of the square where the particle has a mass of m=16.00kg.
Four particles at the corners of a square with a side length L=4.00m are connected by massless rods. The particle masses are m1= m4=2.00kg and m2= m3 = 16.0 kg. Pairs of particles with equal masses are located at opposite corners of the square. Find the moment of inertia of the system about the z-axis that passes through a corner of the square where the particle has a mass of m=16.00kg.
5. Consider a rigid structure composed of point particles joined by massless rods. The particles are numbered 1,2.3.., N, and the particle masses are m, (v 1,2.., N). The locations of the particles with respect to the center of mass are R,. The entire structure rotates on an axis passing through the center of mass with an angular velocity W. Show that the angular momentum with respect to the center of mass is (A.3-26) Then show that the latter expression...
14. Il The four masses shown in FIGURE EX12.13 are connected by massless, rigid rods. a. Find the coordinates of the center of mass. b. Find the moment of inertia about a diagonal axis that passes through masses B and D.
Moment of inertia for point masses Three point masses are connected by massless rods. Determine the moment of inertia about an axis perpendicular to the page and that passes through a) the 150g mass, b) the 100 g mass, and c) the 200 g mass.