# Machine Dynamics Questions and Answers – Klien’s Construction

This set of Machine Dynamics Multiple Choice Questions & Answers (MCQs) focuses on “Klien’s Construction”.

1. In which of the following cases Klein’s construction can be used?
a) Crank has a uniform angular velocity
b) Crank has a uniform angular acceleration
c) Lever has a uniform angular acceleration
d) When the motion is SHM

Explanation: Klein’s construction can be used in both the cases, i.e when the crack has both uniform and non uniform angular velocity and is independent of this condition.

2. When the acceleration of the piston is 0, then the velocity is _____
a) Maximum
b) Minimum
c) Negative
d) Half the maximum

Explanation: When the crank and the connecting rod are perpendicular to each other, at that instance the acceleration is 0 but the velocity is maximum.

3. If OC is the crank and PC is the connecting rod of a reciprocating steam engine and rotates with uniform angular velocity in clockwise direction in the given figure below: then under which condition the piston will undergo retardation?

a) N lies to the right of O
b) N lies to the left of O
c) N is above O
d) N is below O

Explanation: The point N has to remain in the horizontal line of OP thus both the options of N being above O and N being below are incorrect. When N lies to the left of O the piston undergoes acceleration.

4. In the given figure, the velocity of piston is maximum under which of the following conditions?

a) N lies to the left of O
b) N lies to the right of O
c) N coincides with O
d) N lies above O

Explanation: When the crank and the connecting rod are perpendicular to each other, at that instance the acceleration is 0 but the velocity is maximum.

5. In given figure, Triangle OCM is known as ________

a) Klein’s acceleration diagram
b) Klein’s velocity diagram
c) Klein’s displacement diagram
d) Bennet’s diagram

Explanation: On performing a velocity analysis of the given system, it is easy to figure out that triangle formed by points OCM gives the velocity of each link.
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6. With respect to the figure given quadrilateral CQNO is known as _______

a) Klein’s acceleration diagram
b) Klein’s velocity diagram
c) Klein’s displacement diagram
d) Bennet’s diagram

Explanation: Ar(co) is parallel to CO, Ar(cp) is parallel to CP, At(pc) is parallel to QN and Apo is parallel to PO thus quadrilateral CQNO is the acceleration polygon.

7. A Piston will remain in equilibrium if ________
a) Inertia force is applied in the same direction to the resultant force
b) Inertia force is applied in the direction opposite to the resultant force
c) Inertia force is applied in the direction Perpendicular to the resultant force
d) Inertia force is applied in the direction Parallel to the resultant force

Explanation: Inertia force is an imaginary force which tends to act in the direction opposite to the resultant force to bring the body in equilibrium. The magnitude of this force is equal to that of resultant force.

8. Klein’s constructions can be used to determine the acceleration of various parts at all locations.
a) True
b) False

Explanation: Klein’s constructions provide acceleration diagram of the entire mechanism through which the acceleration of various parts can be calculated.

9. For a slider crank mechanism, the total no. of dead centres are _____
a) 0
b) 1
c) 2
d) 3

Explanation: Dead centres are locations where the velocity of the piston is 0, hence there are only two locations where this is possible in the slider crank mechanism.

10. Klein’s construction gives a graphical construction of a 4 bar chain.
a) True
b) False

Explanation: Klein’s construction is used to draw the graphical construction of acceleration and velocity polygon of a slider crank mechanism.

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