A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 3
... magnitude and direction by the tangent and normal at the point : to prove that , the forces being supposed to act both towards or both from the axis , the resultant will pass through the focus . Let PT , PG , fig . ( 4 ) , be the ...
... magnitude and direction by the tangent and normal at the point : to prove that , the forces being supposed to act both towards or both from the axis , the resultant will pass through the focus . Let PT , PG , fig . ( 4 ) , be the ...
Page 4
... magnitude and direction by a given straight line drawn from the point : prove that the locus of the extremity of the straight line which represents either force is an indefinite perpendicular erected at the middle point of the given ...
... magnitude and direction by a given straight line drawn from the point : prove that the locus of the extremity of the straight line which represents either force is an indefinite perpendicular erected at the middle point of the given ...
Page 5
... magnitude and the direction of the resultant . If two forces X , Y , act at right angles to each other , and if their resultant R make angles λ , μ , with X , Y , respectively , then R2 = X " + Y2 , X cos λ = R ' = Y cos μR ( 1 ) If two ...
... magnitude and the direction of the resultant . If two forces X , Y , act at right angles to each other , and if their resultant R make angles λ , μ , with X , Y , respectively , then R2 = X " + Y2 , X cos λ = R ' = Y cos μR ( 1 ) If two ...
Page 7
... magnitude and direction of their resultant . R = √ ( 37 ) , sin p = 2√3 √ ( 37 ) sin = " 3√3 2√ ( 37 ) ( 6 ) If two equal forces are inclined to each other at an angle of 120 ° , shew that their resultant is equal to either of them ...
... magnitude and direction of their resultant . R = √ ( 37 ) , sin p = 2√3 √ ( 37 ) sin = " 3√3 2√ ( 37 ) ( 6 ) If two equal forces are inclined to each other at an angle of 120 ° , shew that their resultant is equal to either of them ...
Page 8
... magnitudes of two forces are 6 and 11 , and the angle between their directions 30 ° , shew that the magnitude of their resultant is 16:47 nearly . ( 13 ) Shew that , in the preceding question , the resultant makes with the force 6 an ...
... magnitudes of two forces are 6 and 11 , and the angle between their directions 30 ° , shew that the magnitude of their resultant is 16:47 nearly . ( 13 ) Shew that , in the preceding question , the resultant makes with the force 6 an ...
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body is projected centre of gravity chord coefficient of friction collision component cosē cylinder denote described determine directrix distance equal forces equation feet find the position find the pressure fixed point forces act fulcrum given circle given point hence highest point horizontal plane impact impinges inclined plane intersection join latus rectum lever line of quickest lowest point magnitude and direction mass middle point motion moveable parabola parallel parallelogram particle pendulum perpendicular point of projection position of equilibrium pound weight pounds prove pully quickest descent radii radius ratio reaction respectively rest resultant right angles SECT shew sides sinē sliding smooth sphere straight line string passing supposing suspended tangent three forces uniform rod velocity of projection vertex vertical circle vertical plane wheel
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