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Theory of Machine

Theory of Machine
A pulley and belt in a belt drive form a

Turning pair
Sliding pair
Rolling pair
Cylindrical pair

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Theory of Machine
A point B on a rigid link AB moves with respect to A with angular velocity ω rad/s. The radial component of the acceleration of B with respect to A, is (where vBA = Linear velocity of B with respect to A)

v²BA
vBA × AB
vBA /AB
v²BA /AB

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Theory of Machine
In considering friction of a V-thread, the virtual coefficient of friction (μ₁) is given by

μ₁ = μ sin β
μ₁ = μ/cos β
μ₁ = μ/sin β
μ₁ = μ cos β

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Theory of Machine
In a four-bar chain it is required to give an oscillatory motion to the follower for a continuous rotation of the crank. For the lengths of 50 mm of crank and 70 mm of the follower, determine theoretical maximum length of coupler. The distance between fixed pivots of crank and followers is

45 mm
Slightly less than 95 mm
Slightly more than 95 mm
95 mm

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Theory of Machine
A disc is a spinning with an angular velocity ω rad/s about the axis of spin. The couple applied to the disc causing precession will be (where I = Mass moment of inertia of the disc, and ωP = Angular velocity of precession of the axis of spin)

(1/2). I ω ωP
I ω ωP
(1/2).Iω²
Iω²

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Theory of Machine
The maximum efficiency of spiral gears is (where θ = Shaft angle, and φ = Friction angle)

cos (θ + φ) + 1/ cos (θ - φ) + 1
cos (θ - φ) + 1/ cos (θ + φ) + 1
cos (θ - φ) + 1/ sin (θ + φ) + 1
sin (θ + φ) + 1/ cos (θ - φ) + 1

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