13. Rotational Inertia & Energy
Intro to Moment of Inertia
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- Multiple Choice
A system is made of two small masses (MLEFT = 3 kg, MRIGHT = 4 kg) attached to the ends of a 5 kg, 2-m long thin rod, as shown. Calculate the moment of inertia of the system if it spins about a perpendicular axis through the mass on the left.
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A solid disc 4 m in diameter has a moment of inertia equal to 30 kg m2 about an axis through the disc, perpendicular to its face. The disc spins at a constant 120 RPM. Calculate the mass of the disc.
1317views18rank1comments - Multiple ChoiceA mechanic gives a bicycle tire a spin causing it to rotate at 2.3 rpm. If the mechanic was pushing for , what was the average angular acceleration of the wheel while it was speeding up.850views
- Multiple ChoiceThe figure shows all the forces acting on a solid disk of diameter . What is the magnitude of the disk's angular acceleration?901views
- Textbook Question
A slender rod with length L has a mass per unit length that varies with distance from the left end, where x = 0, according to dm/dx = γx, where γ has units of kg/m2. Use Eq. (9.20) to calculate the moment of inertia of the rod for an axis at the left end, perpendicular to the rod. Use the expression you derived in part (a) to express I in terms of M and L. How does your result compare to that for a uniform rod? Explain.
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You are a project manager for a manufacturing company. One of the machine parts on the assembly line is a thin, uniform rod that is 60.0 cm long and has mass 0.400 kg. What is the moment of inertia of this rod for an axis at its center, perpendicular to the rod?
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Calculate the moment of inertia of each of the following uniform objects about the axes indicated. Consult Table 9.2 as needed. A thin 2.50-kg rod of length 75.0 cm, about an axis perpendicular to it and passing through (i) one end and (ii) its center, and (iii) about an axis parallel to the rod and passing through it.
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If we multiply all the design dimensions of an object by a scaling factor f, its volume and mass will be multiplied by f3. By what factor will its moment of inertia be multiplied?
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