An Elementary Treatise On Theoretical Mechanics
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'' C ' or A B C 215. To show the application of the conditions of equilibrium, let us consider the simple machine called the wheel and axle. It consists of a horizontal shaft (Fig. 71) resting with its ends on the supports or bear- ings A, B, and is intended to raise a weight W, suspended vertically by means of a rope wound' around the shaft. The driving force F is applied •b a a, a fR^lTr ^ ■■W Fig. 71.
on the circumference of the "wheel," «>. in a vertical plane at right angles to the axis of... the shaft. It is required to find the relation between F and W for equilibrium, and the pressures on the bearings A,B.
I30 STATICS. [216.
Let r be the radius of the shaft, R that of the wheel, i.e. the lever- arm of the force F, and let F be inclined to the vertical at an angle Q ; then, with the co-ordinates and notations of the figure, the conditions %X=o, 2F=o, 2Z=o, give A,-\-B^=Q, Ay-\-By—W—F coi,6 = o, A,+£,+FsinO:=o, where A^, Ay, A^ are the components of the unknown reaction at A ■, B„ By, B„ those at B.
What to read after An Elementary Treatise On Theoretical Mechanics?
You can find similar books in the "Read Also" column, or choose other free books by Alexander Ziwet to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
'' C ' or A B C 215. To show the application of the conditions of equilibrium, let us consider the simple machine called the wheel and axle. It consists of a horizontal shaft (Fig. 71) resting with its ends on the supports or bear- ings A, B, and is intended to raise a weight W, suspended vertically by means of a rope wound' around the shaft. The driving force F is applied •b a a, a fR^lTr ^ ■■W Fig. 71.
on the circumference of the "wheel," «>. in a vertical plane at right angles to the axis of... the shaft. It is required to find the relation between F and W for equilibrium, and the pressures on the bearings A,B.
I30 STATICS. [216.
Let r be the radius of the shaft, R that of the wheel, i.e. the lever- arm of the force F, and let F be inclined to the vertical at an angle Q ; then, with the co-ordinates and notations of the figure, the conditions %X=o, 2F=o, 2Z=o, give A,-\-B^=Q, Ay-\-By—W—F coi,6 = o, A,+£,+FsinO:=o, where A^, Ay, A^ are the components of the unknown reaction at A ■, B„ By, B„ those at B.
What to read after An Elementary Treatise On Theoretical Mechanics?
You can find similar books in the "Read Also" column, or choose other free books by Alexander Ziwet to read onlineMoreLess
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