As shown, a roller of weight W and diameter R is pushed to the left over a tile of thickness 6. Considerthe forces acting on the roller when it is in a momentary state of mechanical equilibrium as it rolls overthe sharp corner of the tile.Ө1Pa Sketch a free body diagram of the roller at this instant of momentary equilibriumb Sketch the closed force vector triangle representing the equilibrium condition of this problem. Notethat the vectors drawn in the figure below are not necessarily to scale.c Express each interior angle of the closed force triangle in terms of a and and clearly label eachforce vector in the diagram and each interior angle of the force triangle.d Establish a relation between a, 6, and r.e Invoke static equilibrium and apply the law of sines to derive an expression for the force P expressedin terms of W, r, 6, and 0.

Answered: 8 0 P | bartleby

Engineering

Mechanical Engineering

8 0 P

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 4.63P: For Probs. 4.61â€“4.68, (a) draw the free-body diagrams for the entire assembly (or structure) and...

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Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

As shown, a roller of weight W and diameter R is pushed to the left over a tile of thickness 6. Consider
the forces acting on the roller when it is in a momentary state of mechanical equilibrium as it rolls over
the sharp corner of the tile.
Ө
1
P
a Sketch a free body diagram of the roller at this instant of momentary equilibrium
b Sketch the closed force vector triangle representing the equilibrium condition of this problem. Note
that the vectors drawn in the figure below are not necessarily to scale.
c Express each interior angle of the closed force triangle in terms of a and and clearly label each
force vector in the diagram and each interior angle of the force triangle.
d Establish a relation between a, 6, and r.
e Invoke static equilibrium and apply the law of sines to derive an expression for the force P expressed
in terms of W, r, 6, and 0.

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