(d) Assume that the magnitude of the tension in the rope is fixed but that the angle may be varied. For what value of 0 would the resulting horizontal acceleration of the crate be maximized?

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Author:Paul W. Zitzewitz
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Chapter1: A Physics Toolkit
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id like to see part d plz!

1. This question concerns the motion of a crate being pulled across a
horizontal floor by a rope. In the diagram below, the mass of the crate is
m, the coefficient of kinetic friction between the crate and the floor is µ,
and the tension in the rope is Fr.
rope
(a) Draw and label all of the forces acting on the crate.
(b) Compute the normal force acting on the crate in terms of m, Fr , 0,
and g.
(c) Compute the acceleration of the crate in terms of m, Fr , 0, µ, and g.
(d) Assume that the magnitude of the tension in the rope is fixed but that
the angle may be varied. For what value of 0 would the resulting
horizontal acceleration of the crate be maximized?
Transcribed Image Text:1. This question concerns the motion of a crate being pulled across a horizontal floor by a rope. In the diagram below, the mass of the crate is m, the coefficient of kinetic friction between the crate and the floor is µ, and the tension in the rope is Fr. rope (a) Draw and label all of the forces acting on the crate. (b) Compute the normal force acting on the crate in terms of m, Fr , 0, and g. (c) Compute the acceleration of the crate in terms of m, Fr , 0, µ, and g. (d) Assume that the magnitude of the tension in the rope is fixed but that the angle may be varied. For what value of 0 would the resulting horizontal acceleration of the crate be maximized?
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