Machine Dynamics Questions and Answers – Ritterhaus Construction

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

1. If OC is the crank and PC is the connecting rod rotating in clockwise direction in the figure given below, then triangle OCM is known as ________
Triangle OCM is Ritterhaus’ velocity diagram if OC is crank & PC is rod rotating
a) Klein’s velocity diagram
b) Klein’s acceleration diagram
c) Ritterhaus’ velocity diagram
d) Ritterhaus’ acceleration diagram
View Answer

Answer: c
Explanation: Since the crank is rotating in the clockwise direction, then the velocity of C will be perpendicular to OC and it’s value is given by w2.OC, hence triangle OCM forms a velocity polygon.

2. Ritterhaus’ construction is used when the motion of the crank is linear shm.
a) True
b) False
View Answer

Answer: b
Explanation: Ritterhaus’ construction is used when the crank is undergoing a motion which has uniform angular velocity.

3. From figure, acceleration of P with respect to C is given by_________
Triangle OCM is Ritterhaus’ velocity diagram if OC is crank & PC is rod rotating
a) ω2.CN
b) ω2.QN
c) ω2.PC
d) ω2.OM
View Answer

Answer: a
Explanation: Total acceleration is the vector sum of radial and tangential components radial component is given by ω2.CQ and tangential component is given by ω2.QN.
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4. Acceleration of any point D on the connecting rod is given by ________
Triangle OCM is Ritterhaus’ velocity diagram if OC is crank & PC is rod rotating
a) ω2.OD1
b) ω2.OD2
c) ω2.OD
d) ω2.PD
View Answer

Answer: b
Explanation: Acceleration at D is the vector sum of radial acceleration and tangential acceleration components. Hence the net acceleration is ω2.OD2.

5. In which of the following cases Ritterhaus’ 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
View Answer

Answer: a
Explanation: Ritterhus’ construction can be used in both the cases, i.e when the crack has both uniform and non uniform angular velocity.
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6. From figure, what is the velocity of P with respect to C?
Triangle OCM is Ritterhaus’ velocity diagram if OC is crank & PC is rod rotating
a) ω × OC
b) ω × OM
c) ω × CM
d) ω × QN
View Answer

Answer: c
Explanation: In the figure, the triangle OCM is known as the velocity diagram, referring to that will provide us the velocity of point P with respect to C. Velocity if C wrt to O is ω × OC and ω × OM is velocity of P wrt to O.

7. From figure, what is the absolute velocity of P, i.e velocity of P with respect to the stationary point O?
Triangle OCM is Ritterhaus’ velocity diagram if OC is crank & PC is rod rotating
a) ω × OC
b) ω × OM
c) ω × CM
d) ω × QN
View Answer

Answer: b
Explanation: In the figure, the triangle OCM is known as the velocity diagram, referring to that will provide us the absolute velocity of point P. Velocity if C wrt to O is ω × OC and ω × OM is velocity of P wrt to O.
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8. Ritterhaus’ construction is used to determine graphically the velocity and acceleration of reciprocating parts of an IC engine.
a) True
b) False
View Answer

Answer: a
Explanation: The velocity and acceleration of the reciprocating parts of the steam engine or internal combustion engine may be determined by the graphical method or analytical method, Ritterhaus’ construction provides graphical solution.

9. Which of the following construction methods is not used to calculate the velocity and acceleration of reciprocating parts of the internal combustion engine?
a) Klien’s construction
b) Ritterhaus’s construction
c) Bennett’s construction
d) D-Alembert’s constructions
View Answer

Answer: d
Explanation: D-Alembert’s principle is used to convert a dynamic mechanic problem to a static problem with the help of inertia forces while the other three constructions are used to determine the velocity and acceleration of reciprocating parts of IC engines.
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Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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