A wheel of mass M has radius R. It is positioned vertically on the floor and you exert a horizontal force F at the center of mass so that it will climb a step against which it rests. (this is like pushing a bike wheel over a curb) If the step has a height h, with h

A wheel of mass M has radius R. It is positioned vertically on the floor and you exert a horizontal force F at the center of mass so that it will climb a step against which it rests. (this is like pushing a bike wheel over a curb) If the step has a height h, with h

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter4: Coplanar Equilibrium Analysis

Section: Chapter Questions

Problem 4.169RP: The uniform, 20-kg bar is placed between two vertical surfaces. Assuming sufficient friction at A to...

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

100%

A wheel of mass M has radius R. It is positioned vertically on the floor and you exert
a horizontal force F at the center of mass so that it will climb a step against which it
rests. (this is like pushing a bike wheel over a curb) If the step has a height h, with
h<R, what minimum force is needed?
(a) What is the torque of F about the contact point with the stair?
(b) The instant the object lifts, the normal force is reduced to zero. At this
instant, what is the torque of gravity about the contact point with the stair?
(c) Given (a) and (b), what value of F will cause the wheel to climb the step?

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