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Theory-of-machines Questions Set 31:

Quiz Mode

How many nodes will a shaft carrying three rotors have?

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At what angle are the teeth of a gear inclined to the axis of the gear?

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In which stroke of an engine cycle is power produced?

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When the engine is cold during the winter season, which fuel mixture is recommended?

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The unbalanced primary couple caused due to reciprocating mass of each cylinder is given as

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Calculate the effective pressure angle (in degrees) when the center distance in a pair of 20 involute gears is decreased by 2%.

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For a crank and slotted lever quick return mechanism, where the angle α = 175°, find the ratio of time of cutting stroke to time of return stroke.

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The function of a reversing gear in a steam engine is

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According to Grubler's Mobility Equation,

M = 3*(n-1) - j1 - j2

where M = Degree of freedom of the mechanism,

n = Total number of links of the mechanism,

j1 = Number of joints having 1 Degree of Freedom, and

j2 = Number of joints having 2 Degrees of Freedom.

For a statically determinate system, what is the value of M?

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Solution:

According to D'Alembert's principle, the differential equation for damped free vibrations with a single degree of freedom is m (d²x/dt²) + c (dx/dt) + Kx = 0. What is the solution to this differential equation if the system is critically damped?

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