Calculate the moment of inertia of the following figure about the axis O. A is a uniform solid cylinder with mass M and radius R. B is a uniform thin rod with mass M and length 3R. A and B objects are attached together and rotate together about axis O. The distance X is and Y is in the figure. The light blue line is going through the center of the cylinder and the point “CM” represents the center of mass of the rod. Leave your answer with M and R.
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This problem is from topic moment of inertia.
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Calculate the moment of inertia of the following figure about
the axis O. A is a...
Lab 8 Assignment: Moment of Inertia 1) Moment of Inertia for Different Systems The resistance to...
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Results given on page 300 TABLE 12.2 Moments of inertia of objects with uniform density Object...
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Use Figure 3. Estimate the moment of inertia of the pendulum system by assuming that all...
Use Figure 3. Estimate the moment of inertia of
the pendulum system by assuming that all components can be
approximated as solid cylinders and using
the parallel axis theorem (look it up!). Tip: Note that
all three components rotate around the same central axis. So how do
you combine the moment of inertias for all the components
together?
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Determine the mass moment of inertia IG in kg-m about the axis perpendicular to the screen...
Determine the mass moment of inertia IG in kg-m about the axis perpendicular to the screen and through the mass center G of the same pendulum as in the previous question (i.e., a thin rod AB of 2 kg and a thin disk of 2 kg). Assume x = 340 mm. 400 mm O G в с r= 80 mm
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A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure...
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M 6 Two uniform, solid spheres (one has a mass M and a radius R and...
M 6 Two uniform, solid spheres (one has a mass M and a radius R and the other has a mass M and a radius Rp = 3R) are connected by a thin, uniform rod of length L = 4R and mass M. Note that the figure may not be to scale. Find an expression for the moment of inertia I about the axis through the center of the rod. Write the expression in terms of M, R, and a...
A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure...
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Lab 8 Assignment: Moment of Inertia 1) Moment of Inertia for Different Systems The resistance to rotational motion change is more involved than for linear motion because it not only depends on what the mass is, but also on how that mass is distributed about the axis of rotation. The farther away from the axis the mass is distributed, the greater the moment of inertia. Using this simple definition, for each of the following pairs of objects, determine which of...
Results given on page 300: TABLE 12.2 Moments of inertia of objects with uniform density Object and axis Picture Object and axis Picture Thin rod about center Cylinder or disk, ML MR2 about center Thin rod about end ML Cylindrical hoop, MR2 about center Plane or slab, about center Solid sphere, about diameter 3MR2 Plane or slab, about edge Ma Spherical shell, about diameter MR2 4. Use the results on page 300 of the textbook to do the following: A...
Results given on page 300 TABLE 12.2 Moments of inertia of objects with uniform density Object and axis Picture Object and axis Picture Thin rod, about center | Cylinder or disk, about center MR ML2 Thin rod, about end ML Cylindrical hoop. MR2 about center | Solid sphere, about diameter Маг Plane or slab, about center Ma2 MR Plane or slab, about edge Ma2 Spherical shell, about diameter MR2 1. b. A very thin, straight, uniform rod has a length...
Use Figure 3. Estimate the moment of inertia of
the pendulum system by assuming that all components can be
approximated as solid cylinders and using
the parallel axis theorem (look it up!). Tip: Note that
all three components rotate around the same central axis. So how do
you combine the moment of inertias for all the components
together?
rotation L1 cm,3 D2 2 L2 cm,3 Figure 3 Schematic of a torsion pendulum with major components labeled. The main Al rod...
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A sphere of radius R can rotate about a vertical axis on frictionless bearings (see figure below). Let the rotational inertia of the sphere be A massless cord passes around the equator of the sphere, over a pulley with rotational inertial and radius r, and is attached to a small object of mass m. There is no friction on the pulley's axle and the cord does not slip on the pulley. At 1 = 0, the mass m has speed...
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