Mechanical Engineering :: Theory of Machine
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When the addenda on pinion and wheel is such that the path of approach and path of recess are half of their maximum possible values, then the length of the path of contact is given by (where r = Pitch circle radius of pinion, R = Pitch circle radius of wheel, and φ = Pressure angle)
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The relation l =
(j + 2) apply only to kinematic chains in which lower pairs are used. This may be used to kinematic chains in which higher pairs are used, but each higher pair may be taken as equivalent to -
According to law of gearing, the common normal at the point of contact between a pair of teeth must always pass through the pitch point.
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The motion between a pair which takes place in __________ is known as incompletely constrained motion.
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The equation of free vibrations of a system is
, Its natural frequency is -
When the primary direct crank of a reciprocating engine makes an angle of θ with the line of stroke, then the secondary direct crank will make an angle of __________ with the line of stroke.
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The relation between number of links (l) and number of joints (j) in a kinematic chain is
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Two heavy rotating masses are connected by shafts of lengths l1, l2 and l3 and the corresponding diameters are d1, d2 and d3. This system is reduced to a torsionally equivalent system having uniform diameter d = d1 of the shaft. The equivalent length of the shaft is
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(j + 2) 
(j + 3) 
