Answered: Because of the way in which the mass is…

Because of the way in which the mass is distributed, wheel A has a radius of gyration of 0.65 m and wheel B has a radius of gyration of 0.32 m (both about the center axis of the wheel).

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.20P: Locate the instant center of rotation of bar AB for each case shown.

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Concept explainers

Free Body Diagram

The system of forces acting on a body tends to either rotate it or make the body undergo motion. In general, when an external agent exerts a force on a body, the body undergoes translational motion and rotational motion. The body has six degrees of freedom under the influence of that force. Here, three degrees of freedom are from the translational motion while the other three are from the rotation motion. However, sometimes the bodies are not allowed to undergo any motion and are fixed, under such conditions the body is said to be constrained.

Question

Hint: This is a constant angular acceleration and 1 revolution of the wheel equals the circumference of the wheel.
M
1m

3) These two steel wheels both have an outer radius of 1.0 m and a mass of 450 kg.
Because of the way in which the mass is distributed, wheel A has a radius of gyration of 0.65 m and wheel B has a radius of
gyration of 0.32 m (both about the center axis of the wheel).
Wheel A:
Wheel B:
Each wheel is mounted on a separate shaft and a crate is lifted by winding a rope around the wheel.
If a motor applies a moment of 200 N·m to the wheel, calculate how far will a 25-kg crate rise in 8.0 seconds for Wheel A, then
Wheel B (assuming that all parts are at rest at t = 0).

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3) These two steel wheels both have an outer radius of 1.0 m and a mass of 450 kg. Because of the way in which the mass is distributed, wheel A has a radius of gyration of 0.65 m and wheel B has a radius of gyration of 0.32 m (both about the center axis of the wheel). Wheel A: Wheel B: Each wheel is mounted on a separate shaft and a crate is lifted by winding a rope around the wheel. If a motor applies a moment of 200 N·m to the wheel, calculate how far will a 25-kg crate rise in 8.0 seconds for Wheel A, then Wheel B (assuming that all parts are at rest at t = 0). Hint: This is a constant angular acceleration and 1 revolution of the wheel equals the circumference of the wheel.
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