1)calculate the polar moment of inertia of a wire with a 2 mm
diameter
2) what is the difference between the elastic modulus (E) and
the shear Modulus (G) ?
Starting with the formula for the moment of inertia of a rod rotated around an axis through one end perpendicular to its length (I=M ℓ² / 3), prove that the moment of inertia of a rod rotated about an axis through its center perpendicular to its length is I=M ℓ² / 12. You will find the graphics in Figure 10.12 useful in visualizing these rotations.
Find the moment of inertia Ix of particle a with respect to the x-axis (that is, if the x-axis is the axis of rotation), the moment of inertia Iy of particle a with respect to the y axis, and the moment of inertia Iz of particle a with respect to the z-axis (the axis that passes through the origin perpendicular to both the x and y axes).
Express your answers in terms of m and r separated by commas.
Find the mass, the center of mass, and the moment of inertia
about the z-axis for the hemisphere x^2+y^2+z^2=1, z >(greater
than or equal to) 0 if density is sqrt(x^2+y^2+z^2)
Find the moment of inertia of a circular disk of radius R and
mass M that rotates on an axis passing through its center. [Answer:
½ MR2]
Step 1: Pictorial representation: Sketch a neat picture to
represent the situation.
Step 2: Physical representation: 1) Cut the disk into many small
rings as it has the circular symmetry. 2) Set up your coordinate
system and choose its origin at the pivot point (or the axle
location) for convenience. Then choose a...
Three rods each of mass m and length I are joined together to form an equilateral triangle as shown in figure. Find the moment of inertia of the system about an axis passing through its centre of mass and perpendicular to the plane of triangle.
IF5
Polar Bonds
Yes
No
Dipole Moment
Yes
No
TeBr4
Polar Bonds
Yes
No
Dipole Moment
Yes
No
NH2−
Polar Bonds
Yes
No
Dipole Moment
Yes
No
PBr3
Polar Bonds
Yes
No
Dipole Moment
Yes
No
IO2−
Polar Bonds
Yes
No
Dipole Moment
Yes
No
From a uniform circular disc of radius R and mass 9 M, a small disc of radius R/3 is removed as . Calculate the moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through the centre of the disc.
From a uniform circular disc of radius R and mass 9 M, a small disc of radius R/3 is removed as . Calculate the moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through the centre of the disc.