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" be the angles made by the lines of action of the supporting forces with that of the resultant of the load ; then because each side of a triangle is proportional to the sine of the angle between the other two, "
A Manual of Applied Mechanics - الصفحة 135
بواسطة William John Macquorn Rankine - 1872 - عدد الصفحات: 648
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The Bombay University Calendar, المجلد 2

University of Bombay - 1907 - عدد الصفحات: 328
...5-30 PM] STATICS AND DYNAMICS. 1. Prove Lami's theorem that if three forces are in equilibrium each is proportional to the sine of the angle between the other two. Forces P, P 2 act oil a particle in one plane. Shew that their resultant Ji is given hy the equation...

The Bombay University Calendar

University of Bombay - 1903 - عدد الصفحات: 1170
...AD, AJÍ and AF. 2. If three forces acting at a point keep it in equilibrium, shew that each 10 force is proportional to the sine of the angle between the other two. D, E, F are the middle points of the sides of a triangle ABC and JV is the centre of the nine-points...

The Bombay University Calendar, المجلد 2

University of Bombay - 1910 - عدد الصفحات: 362
...6-30 PM] STATICS AND DYNAMICS. I. Prove Lami's theorem that if three forces are in equilibrium each 10 is proportional to the sine of the angle between the other two. A particle of weight w rests against the circumference of a circular plate whose plane is vertical...

Applied Mathematics, المجلد 1

Linda Bostock, Suzanne Chandler - 1975 - عدد الصفحات: 580
...triangle are in equilibrium. 20) Lami's Theorem states that when three forces act on a particle each force is proportional to the sine of the angle between the other two forces. 21) If a factional force acts on a body, it is not necessarily of value pR where R is the normal...
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Mathematics: Mechanics and Probability

Linda Bostock, Suzanne Chandler - 1984 - عدد الصفحات: 674
...triangle are in equilibrium. 25) Lami's Theorem states that when three forces act on a particle each force is proportional to the sine of the angle between the other two forces. 26) If a frictional force acts on a body, it is not necessarily of value pR where R is the...
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Eshbach's Handbook of Engineering Fundamentals

Ovid Wallace Eshbach, Byron D. Tapley - 1990 - عدد الصفحات: 2104
...forces are in equilibrium they must be coplanar and concurrent or parallel; if concurrent, each force is proportional to the sine of the angle between the other two; if parallel. each force is proportional to the distance between the other two. If a force system is...
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Mechanics for A-level

Linda Bostock, Suzanne Chandler - 1996 - عدد الصفحات: 612
...expressed in words as follows. If three forces are in equilibrium they most be concurrent and each force is proportional to the sine of the angle between the other two forces. 1. Example 17b A particle of weight 16 N is attached to one end of a light string whose other...
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Statics and Dynamics with Background Mathematics

A. P. Roberts - 2003 - عدد الصفحات: 390
...= J±£ = 2.828 and -^ = s,n ^ 5 = 2.828. The forces are in equilibrium since the magnitude of each is proportional to the sine of the angle between the other two. (a) F,, =2cosl50 =2(-73/2)= - 73. F 2 ,- = 76cos45 =76/72=73, F,, =2cos(-60°) = 2/2 = 1, F 4 , = 72cos(-135...
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Golden Statics

N. P. Bali - 2005 - عدد الصفحات: 480
...theorem. 2.10. Converse ofLami's Theorem If three co.'planar forces acting at a point are such that each Is proportional to the sine of the angle between the other two, the forces are In equilibrium. (MDU 1991) Proof. lit P, Q, R be the three forces acting at 0 such that...
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Civil Engineering (O.T.)

Reddy - 2000 - عدد الصفحات: 788
...the forces are in equilibrium CD (c) three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two CD (d) none of the above. O Co-planer Forces 7. The forces which do not meet at a point are called...
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