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engineering
machine elements in mechanical design

Questions and Answers of Machine Elements In Mechanical Design

Which one of the following is an exact straight line mechanism using lower pairs?(a) Watt's mechanism(b) Grasshopper mechanism(c) Robert's mechanism(d) Peaucellier's mechanism.
Consider the following statements in respect of four-bar mechanisms:1). It is possible to have the length of one link greater than the sum of lengths of the other three links 2). If the sum of the
The height of Watt's governor is(a) directly proportional to the speed(b) directly proportional to the (speed) \({ }^{2}\)(c) inversely proportional to the speed(d) inversely proportional to the
The Fig. 87 shows a critically damped spring-mass system undergoing single degree of freedom vibrations. If \(m=5 \mathrm{~kg}\) and \(k=20 \mathrm{~N} / \mathrm{m}\), the value of viscous damping
In a system subjected to damped forced vibrations, the ratio of maximum displacement to the static deflection is known as(a) Critical damping ratio(b) Damping factor(c) Logarithmic decrement(d)
In the epicyclic gear train shown in the Fig. \(88, T_{A}=40, T_{B}=20\). For three revolutions of the arm, the gear \(B\) will rotate through(a) 6 revolutions (b) 2.5 revolutions (c) 3 revolutions
Which one of the following statements in respect of involute profiles for gear teeth is not correct?(a) Interference occurs in involute profiles(b) Involute tooth form is sensitive to change in
In the given configuration of the mechanism as shown in the Fig. \(89, V_{A}=40 \mathrm{~m} / \mathrm{s}\) and \(V_{B}=30 \mathrm{~m} / \mathrm{s}\). The magnitude of velocity of slider \(B\)
Oldham's coupling is an inversion of the kinematic chain used in(a) Whitworth quick-return mechanism(b) Elliptical trammel(c) Rotary engine(d) Universal joint.
In balancing of 4-stroke in-line engines, firing order helps to control the magnitude of(a) Primary forces only(b) Secondary forces only(c) Primary forces and primary couples only(d) Primary and
The method of direct and reverse cranks is used in engines for(a) the control of speed fluctuations(b) balancing of forces and couples(c) kinematic analysis(d) vibration analysis.
The Fig. 90 shows a rigid body oscillating about the pivot \(A\). If \(J\) is mass moment of inertia of the body about the axis of rotation, its natural frequency for small oscillations is
Consider the following statements:Two rotors mounted on a single shaft can be considered to be equivalent to a geared-shaft system having two rotors provided 1). the kinetic energy of the equivalent
What is the value of \(K\) for which the relative damping of the closed loop system as shown in Fig. 91 below is equal to 0.5 ?(a) 2 (b) 3 (c) 4 (d) 5 . K Fig.91 3 s + 3s
What is the number of instantaneous centres for an eight link mechanism?(a) 15(b) 28(c) 30(d) 8 .
For the rotor system as shown in Fig.92, the mass required for its complete balancing is(a) \(1.5 \mathrm{~kg}\) at \(2 \mathrm{~m}\) radius and at \(225^{\circ}\) from reference (b) \(3
The Fig. 93 given below show different schemes suggested to transmit continuous rotary motion from axis \(A\) to axis \(B\). Which of these schemes are not dynamically balanced?(a) 1 and 3 (b) 2 and
A spring-mass suspension has a natural frequency of \(40 \mathrm{rad} / \mathrm{s}\). What is the damping ratio required if it is desired to reduce this frequency to \(20 \mathrm{rad} / \mathrm{s}\)
The four bar mechanism shown in the Fig. 94 (Given: \(O A=3 \mathrm{~cm}, A B=5 \mathrm{~cm}, B C=6 \mathrm{~cm}, O C=\) \(7 \mathrm{~cm})\) is a(a) Double crank mechanism (b) Double rocker mechanism
Speed reduction in a gear box is achieved using a worm and worm wheel. The worm wheel has 30 teeth and a pitch diameter of \(210 \mathrm{~mm}\). If the pressure angle of the worm is \(20^{\circ}\),
In the Fig. 95 shown, the sun wheel has 48 teeth and the planet has 24 teeth. If the sun wheel is fixed, what is the angular velocity ratio between the internal wheel and arm?(a) 3.0 (b) 1.5 (c) 2.0
\(100 \mathrm{~kW}\) power is supplied to the machine through a gear box which uses an epicyclic gear train. The power is supplied at \(100 \mathrm{rad} / \mathrm{s}\). The speed of the output shaft
Transmissibility is unity at two points.Which one of the following is true for these two points?(a) \(\omega / \omega_{n}\) is zero and \(\sqrt{3}\) for all values of damping(b) \(\omega /
Examine the Fig. 96 shown below wherein the numbers indicate the links:Which of the statements given below are correct?1). \(I_{34}\) is at \(\infty\), perpendicular to \(Q S\)2). \(I_{45}\) is at
Match List I (Gear Train) with List II (Application) and select the correct answer using the code given below the lists: List I (Gear Train) A. Compound gear train B. Eipcyclic spur gear train with
Cycloidal tooth profile of a cycloidal gear tooth is a combination of(a) Hypocycloid and involute of a circle(b) Hypocycloid and epicycloid(c) Epicycloid and involute of a circle(d) Straight line and
Which one of the following statements is not correct?(a) Response of an inertia governor is faster than that of a centrifugal governor(b) An I.C. engine prime-mover always requires both governor and
The problem of hunting of a centrifugal governor becomes very acute when the governor becomes(a) Less sensitive(b) Highly sensitive(c) Highly stable(d) Less stable.
What should be the angle between the cylinder axes if the primary forces of a 2-cylinder \(V\)-engine are to be completely balanced?(a) \(45^{\circ}\)(b) \(60^{\circ}\)(c) \(90^{\circ}\)(d)
Systems \(A\) and \(B\) (Fig.97) having identical mass and springs are set in simple harmonic motion. Which one of the following statement is correct?Fig. 97 (a) For systems \(A\) and \(B\), the
What is the polar for the function \(\frac{1}{(1+j \tau \omega)}\), where \(\omega\) stands for the frequency (angular), \(\tau\) the time constant and \(j=\sqrt{-1}\) ?(a) Semi circle(b) Parabola(c)
Suppose two rotors with inertias \(I_{1}\) and \(I_{2}\) on shafts of lengths \(l_{1}\) and \(l_{2}\) respectively, are connected by gears such that the speed of the \(I_{2}\) rotor is always \(G\)
Two rotors \(A\) and \(B\) are connected to the two ends of a shaft of uniform diameter. The mass moment of inertia of rotor \(A\) about the axis of the shaft is four times that of \(B\). If the
If the frequency of fluctuations in engine speed coincides with the natural frequency of oscillations of the governor, then, due to resonance, the amplitude of oscillations becomes very high.
What is the minimum number of arbitrarily chosen parallel planes in which the balancing mass/ masses may be placed for complete dynamic balance of a system of unbalanced revolving masses in different
Which one of the following is realized by hydraulic dash-pot shock absorbers?(a) Viscous damping(b) Structural damping(c) Coulomb damping(d) Spring damping.
Which one of the following is the correct statement?Transmissibility is defined as the ratio of the(a) force applied to the machine to the force transmitted to the foundation(b) force transmitted to
The criterion of constraint of a chain connecting the number of binary joints \((J)\), number of higher pairs \((H)\) and the number of links \((L)\) is:\[ J+\frac{H}{2}=\frac{3 L}{2}-2 \]When is
Which one of the following statements is correct?Transmission angle is the angle between(a) the output link and the frame(b) the output link and the coupler(c) the input link and the coupler(d) the
In typical power transmission with reduction from an induction motor of speed \(1450 \mathrm{rpm}\) to a speed as low as \(1 \mathrm{rpm}\), which one of the following order of reduction is
Which one of the following is the correct statement?The relative velocity of sliding in the teeth of gears in mesh is zero at(a) the point of engagement(b) the point of disengagement(c) the pitch
Which one of the following is the correct statement?The consequence of a slight increase in the centre distance between two mating involute gears is that(a) The law of gearing is not satisfied
Which one of the following is correct for a shaft carrying two rotors at its ends?(a) It has no node(b) It has one node(c) It has two nodes(d) It has three nodes.
The Fig. 98 given below shows the locations of the roots of the characteristic function of a second order, linear, closedloop control system. What is the natural frequency of the system?(a) \(10
A type-2 system has its transfer function for open loop represented by\[ G(s) \mathrm{H}(s)=\frac{4(1+s)}{s^{2}(1+0.1 s)} \text { in the } s \text { - plane. } \]Nyquist plot shows that there are
For a spring-loaded roller-follower driven with a disc cam,(a) the pressure angle should be larger during rise than that during return for ease of transmitting motion(b) the pressure angle should be
For the planar mechanism shown Fig.99, select the most appropriate choice for the motion of link 2 when link 4 is moved upwards.(a) Link 2 rotates clockwise (b) Link 2 rotates counter-clockwise (c)
Which of the following statement is correct?(a) Flywheel reduces speed fluctuations during a cycle for a constant load, but flywheel does not control the mean speed of the engine if the load
In spur gears, the circle on which the involute is generated is called the(a) pitch circle(b) clearance circle(c) base circle(d) addendum circle.
The ratio of tension on the tight side to that on the slack side in a flat belt drive is(a) proportional to the product of coefficient of friction and lap angle(b) an exponential function of the
To make a worm drive reversible, it is necessary to increase(a) centre distance(b) worm diameter factor(c) number of starts(d) reduction ratio.
Instantaneous centre of a body rolling with sliding on a stationary curved surface lies(a) at the point of contact(b) on the common normal at the point of contact(c) on the common tangent at the
The number of degrees of freedom of a five link plane mechanism with five revolute pairs as shown in the Fig. 100 is(a) 3 (b) 4 (c) 2 (d) 1 . 5 4 13 Fig.100
In a plate cam mechanism with reciprocating roller follower, the follower has a constant acceleration in the case of(a) cycloidial motion(b) simple harmonic motion(c) parabolic motion(d) polynomial
The sun gear in the Fig. 101 is driven clockwise at \(100 \mathrm{rpm}\). The ring gear is held stationary. For the number of teeth shown on the gears, the arm rotates at(a) \(0 \mathrm{rpm}\)(b)
For the audio cassette mechanism shown Fig. 102 below, where is the instantaneous centre of rotation (point) of the two spools?(a) Point \(P\) lies to the left of both the spools but at infinity
With regard to belt drives with given pulley diameters, centre distance and coefficient of friction between the pulley and the belt materials, which of the statements below are FALSE?(a) A crossed
The cross head velocity in the slider crank mechanism, for the position shown in Fig. 103 below is:(a) \(v_{C}=\cos (90-\overline{a+\beta}) \cos \beta\)(b) \(v_{C}=\cos (90-\overline{\alpha+\beta})
An automobile of weight \(W\) is shown in Fig.104. \(A\) pull ' \(P\) ' is applied as shown. The reaction at the front wheels (location \(A\) ) isFig. 104 (a) \(W / 2-P \mathrm{~b} / 2 a\)(b) \(W /
The percentage improvement in power capacity of a flat belt drive, when the wrap angle at the driving pulley is increased from \(150^{\circ}\) to \(210^{\circ}\) by an idler arrangement for a
In an experiment to find the velocity and acceleration of a particular cam rotating at \(10 \mathrm{rad} / \mathrm{s}\), the values of displacements and velocities are recorded. The slope of
Consider the triangle formed by the connecting rod and the crank of an IC engine as the two sides of the triangle. If the maximum area of this triangle occurs when the crank angle is \(75^{\circ}\)
The difference between tensions on the tight and slack sides of a belt drive is \(3000 \mathrm{~N}\). If the belt speed is \(15 \mathrm{~m} / \mathrm{s}\), the transmitted power in \(\mathrm{kW}\)
The profile of a cam in a particular zone is given by \(x=\sqrt{3} \cos \theta\) and \(y=\sin \theta\). The normal to the cam profile at \(\theta=\frac{\pi}{4}\) is at an angle (with respect to \(x\)
A flywheel of moment of inertia \(9.8 \mathrm{~kg} \cdot \mathrm{m}^{2}\) fluctuates by \(30 \mathrm{rpm}\) for a fluctuation in energy of 1936 Joules. The mean speed of the flywheel is (in rpm)(a)
Math List I with List II List I(A) Collision of bodies(B) Minimum potential energy(C) Degree of freedom(D) Prony brake(E) Hammer blow(F) Ellipse trammel List II 1. Kinetics 2. Reciprocating unbalance
Math List I with List II List I (Gear types) (a) Worm gears (b) Cross helical gears (c) Bevel gears (d) Spur gears List II (Applications) 1. Parallel shafts 2. Non-parallel, intersecting shafts 3.
Fig. 105 shows a quick return mechanism. The crank \(O A\) rotates clockwise uniformly. \(O A=2 \mathrm{~cm}, O O^{\prime}=4 \mathrm{~cm}\). The ratio of time for forward motion to that for return
The \(\operatorname{arm} O A\) of an epicyclic gear train shown in Fig. 106 below revolves counter-clockwise about \(O\) with an angular velocity of \(4 \mathrm{rad} / \mathrm{s}\). Both gears are of
The mechanism used in a shaping machine is(a) a closed 4-bar chain having 4 revolute pairs(b) a closed 6-bar chain having 6 revolute pairs(c) a closed 4-bar chain having 4 revolute and 2 sliding
The lengths of the links of a 4-bar linkage with revolute pairs only are \(p, q, r\) and \(s\) units. Given that \(p
For a certain engine having an average speed of \(1200 \mathrm{rpm}\), a flywheel approximated as a solid disc, is required for keeping the fluctuation of speed within \(2 \%\) above the average
In a band brake the ratio of tight side band tension to the tension on the slack side is 3 . If the angle of overlap of band on the drum is \(180^{\circ}\), the coefficient of friction required
Two mating spur gears have 40 and 120 teeth respectively. The pinion rotates at \(1200 \mathrm{rpm}\) and transmits a torque of \(20 \mathrm{~N} \mathrm{~m}\). The torque transmitted by the gear
For a mechanism shown in Fig. 107 below, the mechanical advantage for the given configuration is(a) 0 (b) 0.5 (c) 1.0 (d) \(\infty\). ) o Fig.107
In the Fig. 108 shown, the relative velocity of link 1 with respect to link 2 is \(12 \mathrm{~m} / \mathrm{sec}\). Link 2 rotates at a constant speed of \(120 \mathrm{rpm}\). The magnitude of
The Fig. 109 below shows a planar mechanism with single degree of freedom. The instant aneous centre 24 for the given configuration is located at a position(a) \(L\)(b) \(M\)(c) \(N\)(d) \(\infty\).
Match the following:(a) P-4 \(\quad\) Q-2 \(\quad\) R-1 \(\quad\) S-3 (b) P-2 \(\quad\) Q-3 \(\quad\) R-4 \(\quad\) S-1 (c) P-3 \(\quad\) Q-2 \(\quad\) R-1 \(\quad\) S-4 (d) P-1 \(\quad\) Q-3
Match the following with respect to spatial mechanisms.(a) P-1 Q-3 \(\quad\) R-3 (b) P-5 \(\quad\) Q-4 \(\quad\) R-3 (c) P-2 \(\quad\) Q-3 \(\quad\) R-1 (d) P-4 Q-5 \(\quad\) R-3 Type of Joint
Which kind of 4-bar mechanism is \(O_{2} A B O_{4}\) ?(a) Double-crank mechanism(b) Crank-rocker mechanism(c) Double-rocker mechanism(d) Parallelogram mechanism.
At the instant considered, what is the magnitude of the angular velocity of \(O_{4} B\) ?(a) \(1 \mathrm{rad} / \mathrm{s}\)(b) \(3 \mathrm{rad} / \mathrm{s}\)(c) \(8 \mathrm{rad} / \mathrm{s}\)(d)
At the same instant, if the component of the force at joint \(A\) along \(A B\) is \(30 \mathrm{~N}\), then the magnitude of the joint raction at \(O_{2}\)(a) is zero(b) is \(30 \mathrm{~N}\)(c) is
The maximum tension that can be generated in the band during braking is(a) \(1200 \mathrm{~N}\)(b) \(2110 \mathrm{~N}\)(c) \(3224 \mathrm{~N}\)(d) \(4420 \mathrm{~N}\).
The maximum wheel torque that can be completely braked is(a) \(200 \mathrm{Nm}\)(b) \(382 \mathrm{Nm}\)(c) \(604 \mathrm{Nm}\)(d) \(844 \mathrm{Nm}\).
A disk clutch is required to transmit \(5 \mathrm{~kW}\) at \(2000 \mathrm{rpm}\). The disk has a friction lining with coeffient of friction equal to 0.25 . Bore radius of friction lining is equal to
Twenty degree full depth involute profiled 19-tooth pinion and 37 -tooth gear are in mesh. If the module is \(5 \mathrm{~mm}\), the center distance between the gear pair will be(a) \(140
Match the items in columns I and II(a) \(\mathrm{P}-2, \mathrm{Q}-6, \mathrm{R}-4, \mathrm{~S}-3\)(b) P-6, Q-2, R-4, S-1 (c) \(\mathrm{P}-6, \mathrm{Q}-2, \mathrm{R}-5, \mathrm{~S}-3\)(d)
What is the relation between the angular velocites of Gear 1 and Gear 4? (a) (c) - @ (b) 001-0-6 - W @ 15 04-03 3 (d) - 9
For ω1 = 60 rpm clockwise (cw) when looked from the left, what is the angular velocity of the carrier and its direction so that Gear 4 rotates in counterclockwise (ccw) direction at twice the
Scotch yoke mechanism is used to generate(a) sine functions(b) square roots(c) logarithms(d) inversions.
The danger of breakage and vibration is maximum(a) below critical speed(b) near critical speed(c) above critical speed(d) none of the above.
In full depth \(14 \frac{1^{\circ}}{2}\) degree involute system, the smallest number of teeth in a pinion which meshes with rack with out interference is(a) 12(b) 16(c) 25(d) 32.
Inversion of a mechanism is(a) changing of a higher pair to lower pair(b) obtained by fixing different links in a kinematic chain(c) turning it upside down(d) obtained by reversing the input and
The sense of Coriolis component \(2 \mathrm{Vw}\) is the same as that of the relative velocity vector \(V\) rotated.(a) \(45^{\circ}\) in the direction of rotation of the link containing the path(b)
Under logarithmic decrement, the amplitude of successive vibrations are(a) constant(b) in arithmetic progression(c) in geometric progression(d) in logarithmic progression.
Match the following \(14 \frac{1^{\circ}}{2}\) deg composite system of gears List I A. Dedendum List II 1. 2/P B. Clearance 2. 0.157/P C. Working depth 3. 1.157/P D. Addendum 4. 1/P Codes: A B C (a)
A certain machine requires a torque of \((500+50 \sin 2 \theta) \mathrm{kN} \cdot \mathrm{m}\) to drive it, where \(\theta\) is the angle of rotation of shaft measured from certain datum. The machine
In Oldham's coupling the condition for maximum speed ratio is(a) \(\frac{\omega_{1}}{\omega}=\cos \alpha\)(b) \(\frac{\omega_{1}}{\omega}=\sin \alpha\)(c) \(\frac{\omega_{1}}{\omega}=\frac{1}{\cos
Match the following:List I (Dynamometer)A. Torsion dynamometer B. Tesla fluid friction dynamometer C. Prony brake D. Swinging field dynamometerList II (Characteristics)1). High speeds and low power
Mitre gears(a) spur-gears with gear ratio \(1: 1\)(b) Skew gears connecting non-parallel and non-intersecting shafts(c) Bevel gears transmitting power at more than or less than \(90^{\circ}\)(d)

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