3. A homogenous thin quarter-circular disk with 1.500 m radius has a mass of 60 kg. Which of the following best approximates the mass moment of inertia of the quarter-circular disk shown about the centroidal axis A-A (i.e., parallel to the x-axis)? y A A 1.500 m shown is composed of a rectangular plate of mass 102 kg and a quarter-circular plate of mass 60 91.8 kg-m^2 58.1 kg-m^2 43.1 kg-m^2 following best approximates the mass moment of inertia of the shape about the y-axis?

3. A homogenous thin quarter-circular disk with 1.500 m radius has a mass of 60 kg. Which of the following best approximates the mass moment of inertia of the quarter-circular disk shown about the centroidal axis A-A (i.e., parallel to the x-axis)? y A A 1.500 m shown is composed of a rectangular plate of mass 102 kg and a quarter-circular plate of mass 60 91.8 kg-m^2 58.1 kg-m^2 43.1 kg-m^2 following best approximates the mass moment of inertia of the shape about the y-axis?

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter10: Rotational Motion And Angular Momentum

Section: Chapter Questions

Problem 6CQ: Why is the moment of inertia of a hoop that has a mass M and a radius R greater than the moment of...

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Figure P10.41 shows a side view of a car tire before it is mounted on a wheel. Model it as having two side-walls of uniform thickness 0.635 cm and a tread wall of uniform thickness 2.50 cm and width 20.0 cm. Assume the rubber has uniform density 1.10 103 kg/m3. Find its moment of inertia about an axis perpendicular to the page through its center. Figure P10.41
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Why is the moment of inertia of a hoop that has a mass M and a radius R greater than the moment of inertia of a disk that has the same mass and radius? Why is the moment of inertia of a spherical shell that has a mass M and a radius R greater than that of a solid sphere that has the same mass and radius?
Suppose you start an antique car by exerting a force of 300 N on its crank for 0.250 s. What angular momentum is given to the engine if the handle of the crank is 0.300 m from the pivot and the force is exerted to create maximum torque the entire time?
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Suppose a child gets off a rotating merry-go-round, Does the angular velocity of the merry-go-round increase, decrease, or remain the same if: (a) He jumps off radially? (b) He Jumps backward to land motionless? (c) He jumps straight up and hangs onto an overhead tree branch? (d) He jumps off forward, tangential to the edge? Explain your answers. (Refer to Figure 10.34).