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Theory of Machines MCQ Question with Answer

Theory of Machines MCQ with detailed explanation for interview, entrance and competitive exams. Explanation are given for understanding.

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Question No : 43
In a differential band brake as shown in the below figure, if the length OB is greater than OA, then the force P at C should act in the downward direction.

Yes
No
Unpredictable
None of these

Question No : 44
In the two rotor system as shown in the below figure (I₁ < I₂), a node of vibration is situated

Between I₁, and I₂ but nearer I₁
Between I₁, and I₂ but nearer to I₂
Exactly in the middle of the shaft
Nearer to I₁ but outside

Question No : 45
Maximum fluctuation of energy in a flywheel is equal to [where I = Mass moment of inertia of the flywheel, E = Maximum fluctuation of energy, CS = Coefficient of fluctuation of speed, and ω = Mean angular speed = (ω₁ + ω₂)/2]

I.ω.(ω₁ - ω₂)
I.ω².CS
2.E.CS
All of these

Question No : 46
A rigid body, under the action of external forces, can be replaced by two masses placed at a fixed distance apart. The two masses form an equivalent dynamical system, if

The sum of the two masses is equal to the total mass of body
The centre of gravity of the two masses coincides with that of the body
The sum of mass moment of inertia of the masses about their centre of gravity is equal to the mass moment of inertia of the body
All of the above

Question No : 47
Hammer blow

Is the maximum horizontal unbalanced force caused by the mass provided to balance the reciprocating masses.
Is the maximum vertical unbalanced force caused by the mass added to balance the reciprocating masses
Varies as the square root of the speed
Varies inversely with the square of the speed

Question No : 48
The secondary unbalanced force due to inertia of reciprocating parts in a reciprocating engine is given by (where m = Mass of reciprocating parts, ω = Angular speed of crank, r = Radius of crank, θ = Angle of inclination of crank with the line of stroke, and n = Ratio of the length of connecting rod to radius of crank)

m.ω².r sinθ
m.ω².r cosθ
m.ω².r (sin 2θ/n)
m.ω².r (cos 2θ/n)

Question No : 49
The type of pair formed by two elements which are so connected that one is constrained to turn or revolve about a fixed axis of another element is known as

Turning pair
Rolling pair
Sliding pair
Spherical pair