a triangle with three equally long sides of length a is rotated around an axis aligned with one of its sides(y axis).
Determine the moment of inertia of the triangle if the mass of the triangle is 5.0 kg and the density is the same everywhere?
a triangle with three equally long sides of length a is rotated around an axis aligned...
Three objects, each of mass m are arranged in an equilateral triangle, with side length L. The mass of the connecting rods is negligible. a.) If the system is rotating around a vertical axis passing through the upper vertex of the triangle, what is the system's moment of inertia in terms of its total mass? b.) If the system is rotating around a horizontal axis passing through the upper vertex of the triangle, what is the system's moment of inertia...
What is the moment of inertia of the object when rotated around the x-axis, y-axis, and also the z-axis. Please explain. Follow-Up Example Moment of Inertia You place 4 masses on the corner of a massless sheet as shown (in the shape of a kite). You then rotate this object. What is the moment of inertia of this object when you rotate it around the z-axis? r1=(0,2)m mi 1kg , r4 (-3,0)m m4-2kg a) 29 kg m b) 18 kg...
Three light rods of negligible mass are joined to form an equilateral triangle of length L = 1.90 m. Three masses m1 = 5.00 kg, m2 = 7.00 kg, and m3 = 9.00 kg are fixed to the vertices of this triangle as shown in the diagram below. Treat the masses as point particles.(a) What is the moment of inertia of the system about an axis lying in the plane of the triangle, passing through the midpoint of one side...
Three identical point masses of mass M are fixed at the comers of an equilateral triangle of sides I as shown. Axis Aruns through a point equidistant from all three masses, perpendicular to the plane of the triangle. Axis B runs through M, and is perpendicular to the plane of the triangle. Axes C, D, and E, lie in the plane of the triangle and are as shown. Part (a) Determine an expression in terms of M and / for the...
The perimeter of a triangle is 81 centimeters. If two sides are equally long and the third side is 9 centimeters longer than the others, find the lengths of the three sides?
The length of the sides of a triangle are three consecutive natural numbers and its largest angle is twice the smallest one. Determine the lengths of the sides of the triangle. The lengths of the sides of a ave three consecutive hatural numbers and its largest angle is twice the smallest one Determine the lengths of the sides f the triangle thangle The lengths of the sides of a ave three consecutive hatural numbers and its largest angle is twice...
1. (25 pts.) Three particles are at the vertices of a rigid, massless equilateral triangle, whose sides are L = 4.0 m. Their masses are mi = 10 kg, m2 = 20 kg and m3 = 30 kg. a. Find the x and y coordinates of the center of mass of the system, with respect to the point P halfway along the base. b. Find the moment of inertia if the system is free to rotate around an axis down...
Figure 1:Part A: A baseball bat can be rotated around many different axes of rotation. Three such possibilities are shown in (Figure 1) . Rank the baseball bat's moment of inertia about each of these three axes of rotation.Rank the moment of inertia from largest to smallest and overlap axes labels if the same.Part B: Given the same baseball bat and possible axes of rotation shown in (Figure 1) , for which axis of rotation would it be the easiest...
QUESTION 1 A dumbell consists of two identical masses of mass M attached to a either end of a rod of length 2X and of negligible mass. If the dumbell is rotated about an axis perpendicular to the rod and passing through the middle of the rod, as shown in the diagram. What is the rotational inertia of the dumbell? Axis. -*-X ←-ㄧㄧㄨ 2Mx2 2M2x MX2 M2x QUESTION 2 Two identical uniform thin rods of length 0.542 m and mass...
Three identical thin rods, each of length L an mass m, are welded perpendicular to one another as shown in Figure P10.23. The assembly is rotated about an axis that passes through the end of one rod and is parallel to another Determine the moment of inertia of this structure. (Answer in terms of m and L.) Axis of rotationn Figure P10.23