Theory of Machines and Vibrations MCQs 2026

Governor maintains

1. Aconstant fuel tank level✓
2. Bconstant tyre pressure✓
3. Cnear-constant speed of engine despite load changes✓
4. Dconstant sand moisture✓

A kinematic chain becomes mechanism when

1. Aall links move freely without frame✓
2. Bno relative motion exists✓
3. Cone link is fixed to ground frame✓
4. Donly gears are present✓

Degrees of freedom of plane mechanism given by Kutzbach equation is

1. AF = L + j only✓
2. BF = 3(L-1) - 2j - h✓
3. CF = 2L always✓
4. DF = j - h only✓

Four-bar linkage has

1. Athree links and five pairs✓
2. Bonly prismatic pairs✓
3. Cno coupler link✓
4. Dfour links connected by four revolute pairs✓

Grashof law states for continuous relative rotation

1. Aall links equal length always✓
2. Bshortest plus longest link length ≤ sum of other two✓
3. Conly sliding pairs allowed✓
4. Dcoupler must be longest always✓

Slider-crank mechanism converts

1. Aheat directly to electricity only✓
2. Bhydraulic pressure to sand mould✓
3. Cwelding arc to lathe feed✓
4. Dreciprocating slider motion to rotary crank motion✓

Instantaneous centre of rotation is

1. Aalways at geometric centre of mass✓
2. Bfixed for all time always✓
3. Cpoint about which body appears to rotate at given instant✓
4. Donly for gears never links✓

Velocity of point on link equals

1. Aangular velocity times radius to I-centre✓
2. Bonly linear speed of slider always✓
3. Czero at all pins always✓
4. Dproduct of masses only✓

Acceleration in mechanism analysis includes

1. Aonly static weight✓
2. Btangential and normal components relative to I-centre✓
3. Conly thermal expansion✓
4. Donly sand shrinkage✓

Coriolis component appears in

1. Apure rotation about fixed centre only✓
2. Bsliding motion on rotating link✓
3. Cstatic equilibrium only✓
4. Dheat conduction only✓

Lower pair has

1. Asurface contact between elements✓
2. Bpoint or line contact only always✓
3. Cno contact ever✓
4. Dfluid film only in gears✓

Higher pair example is

1. Apin in hole revolute joint✓
2. Bgear teeth mesh or cam-follower point contact✓
3. Cslider in slot prismatic✓
4. D welded fixed joint✓

Kinematic inversion changes

1. Atooth profile of gears only✓
2. Bmaterial of links only✓
3. Cmotor voltage only✓
4. Dwhich link is fixed without altering relative motions✓

Double slider crank chain forms

1. AOldham coupling or Scotch yoke mechanisms✓
2. Bonly simple pendulum✓
3. Conly flywheel energy store✓
4. Donly governor spring✓

Cam-follower mechanism converts

1. Acam rotation into prescribed follower translation or oscillation✓
2. Belectricity to refrigerant✓
3. Csand to molten iron✓
4. Drolling torque to billet only✓

Disk cam with knife-edge follower has

1. Apoint contact and high wear✓
2. Bsurface contact lower pair✓
3. Cno pressure angle concern✓
4. Dconstant velocity always✓

Roller follower reduces

1. Acam lift amplitude to zero✓
2. Bneed for cam profile✓
3. Cfriction and wear compared to knife-edge follower✓
4. Dall dynamic forces to zero✓

Pressure angle in cam is angle between

1. Acam shaft and crank throw only✓
2. Bnormal to profile and follower motion direction✓
3. Cgear helix and axis only✓
4. Dwelding torch and plate only✓

Base circle of cam is

1. Asmallest circle centred on cam axis touching profile✓
2. Bpitch circle of gear✓
3. Croot circle of gear✓
4. Dlathe chuck diameter✓

Simple harmonic motion cam profile gives

1. Ainfinite jerk everywhere✓
2. Bconstant velocity throughout dwell✓
3. Crandom displacement✓
4. Dsmooth acceleration at start and end of stroke✓

Dwell in cam motion means

1. Amaximum velocity segment✓
2. Bfollower oscillates rapidly✓
3. Cfollower stationary while cam rotates✓
4. Dcam stops rotating✓

Module m of spur gear equals

1. Acircular pitch divided by pi only✓
2. Bpitch circle diameter divided by number of teeth✓
3. Caddendum only✓
4. Dpressure angle in degrees✓

Circular pitch p of gear is

1. Amodule divided by π✓
2. Bπ times module✓
3. Cteeth divided by diameter✓
4. Dpressure angle cosine only✓

Addendum of gear tooth is

1. Adepth of dedendum only✓
2. Bwhole face width✓
3. Chelix angle✓
4. Dradial height from pitch circle to tooth tip✓

Dedendum is measured from pitch circle to

1. Atip circle only✓
2. Bbase circle always as addendum✓
3. Croot of tooth✓
4. Doutside helix✓

Law of gearing requires for constant velocity ratio

1. Ateeth must be rectangular✓
2. Bcommon normal at contact passes through pitch point✓
3. Conly helical gears qualify✓
4. Dpressure angle must be 90°✓

Involute tooth profile is generated by

1. Aextruding metal through die✓
2. Bsand casting pattern only✓
3. Cunwrapping string from base circle✓
4. Dresistance welding spot✓

Contact ratio in gears should be

1. Azero for quiet operation✓
2. Bnegative for strength✓
3. Cexactly 0.5 always✓
4. Dgreater than one for continuous smooth transmission✓

Undercutting in spur gears occurs when

1. Atip of mating gear cuts into root below base circle✓
2. Bpressure angle is too large only always✓
3. Cmodule is too large always✓
4. Dface width is excessive✓

Helical gears differ from spur by

1. Ahaving no pitch circle✓
2. Bteeth cut at helix angle to axis✓
3. Cmeshing only in vertical plane always✓
4. Dusing only plastic always✓

Helix angle in helical gear is measured at

1. Aroot circle only✓
2. Baddendum circle only✓
3. Clathe bed guide✓
4. Dpitch cylinder relative to gear axis✓

Herringbone gear eliminates

1. Anet axial thrust of double helical arrangement✓
2. Ball tooth loading✓
3. Cneed for lubrication✓
4. Dpitch diameter definition✓

Bevel gears transmit motion between

1. Aparallel axes only always✓
2. Bnon-intersecting skew axes without hypoid✓
3. Cintersecting axes usually at 90 degrees✓
4. Dfixed ratio belt only✓

Worm gear pair has

1. Ahigh speed reduction and self-locking tendency possible✓
2. Bonly parallel axis layout✓
3. Cequal size pinion and gear always✓
4. Dno sliding contact ever✓

Gear train velocity ratio is product of

1. Amodules only✓
2. Bpressure angles only✓
3. Cdriven teeth divided by driver teeth for each stage✓
4. Dface widths only✓

Idler gear in train changes

1. Adirection of rotation without affecting ratio magnitude✓
2. Boverall velocity ratio value✓
3. Ccentre distance law only✓
4. Dmodule standard✓

Epicyclic gear train has

1. Aone or more gears rotating on moving arm✓
2. Bonly fixed axis gears✓
3. Cno planet gears ever✓
4. Donly belt drives✓

Reverted gear train has

1. Ainput and output shafts coaxial✓
2. Bparallel offset shafts only✓
3. Cintersecting axes only✓
4. Dno idler allowed ever✓

Watt governor is

1. Ahydraulic piston only✓
2. Belectronic ECU map only✓
3. Cpendulum type with flyballs on arms near spindle✓
4. Dturbocharger wastegate only✓

Porter governor has

1. Ano controlling force element✓
2. Bonly hydraulic dashpot from start✓
3. Ccentral spring supporting flyball arms✓
4. Dfixed mass without arms✓

Proell governor extends flyballs

1. Ainward toward spindle only✓
2. Boutward on extended links for greater speed rise effect✓
3. Celiminates all sensitivity✓
4. Dreplaces throttle completely✓

Sensitiveness of governor is ratio of

1. Apower output to fuel flow only✓
2. Bflywheel energy to torque only✓
3. Crange of speed to mean speed✓
4. Dgear ratio to module✓

Hunting in governor means

1. Astable immediate stop✓
2. Bzero response to load✓
3. Ccontinuous speed oscillation about mean✓
4. Dfixed throttle always✓

Flywheel stores energy as

1. Achemical fuel energy only✓
2. Brotational kinetic energy smoothing cyclic fluctuation✓
3. Celastic spring potential in governor only✓
4. Delectrical capacitor charge only✓

Coefficient of fluctuation of speed is

1. Aflywheel weight only✓
2. Bgear pressure angle✓
3. Ccam lift divided by base circle✓
4. D(ω1 - ω2)/ω_mean✓

Flywheel rim has most mass at periphery because

1. Acentre hub stores more energy always✓
2. Bspokes alone sufficient always✓
3. Cbearing friction requires it✓
4. Dmoment of inertia increases with radius squared✓

Turning moment diagram plots

1. Avelocity versus time only always✓
2. Bstress versus strain only✓
3. Ccrank torque versus crank angle for one cycle✓
4. Dpressure versus volume only✓

Static balancing of rotating masses requires

1. Acouple in plane must be maximum✓
2. Bonly single mass considered always✓
3. Cgear teeth must be involute✓
4. Dresultant centrifugal force in any plane is zero✓

Dynamic balancing requires

1. Aonly force balance in one plane✓
2. Bresultant force and resultant couple both zero✓
3. Cno consideration of axial length✓
4. Dwelding symmetry only✓

Balancing machine measures

1. Aonly hardness HRC✓
2. Bonly surface Ra✓
3. Conly cam lift✓
4. Dvibration or force due to unbalance at supports✓

Primary unbalance in reciprocating engine is

1. Afirst-order force along line of stroke at crank speed✓
2. Bonly constant torque always✓
3. Conly gear mesh frequency✓
4. Dzero at all speeds✓

Secondary unbalance occurs at

1. Ahalf crank speed only✓
2. Btwice crank speed in four-stroke inline engines✓
3. Czero frequency always✓
4. Dcam shaft speed only for all orders✓

Gyroscope resists change in

1. Alinear speed along road only✓
2. Bfuel octane number✓
3. Csand binder type✓
4. Daxis of rotation due to angular momentum✓

Precession angular velocity of gyro is

1. AIω divided by T✓
2. BT times ω only✓
3. Czero for all applied torque✓
4. DT / (Iω)✓

Velocity diagram in relative motion shows

1. Aonly scalar gear teeth count✓
2. Bonly temperature entropy✓
3. Conly weld pool width✓
4. Dvector addition of absolute velocities of links✓

Kennedy theorem states I-centres of three bodies

1. Aform equilateral triangle always✓
2. Bcoincide at mass centre always✓
3. Clie on a straight line✓
4. Dare unrelated✓

Rubbing velocity at pin joint equals

1. Aangular velocity times pin radius if one link fixed locally✓
2. Bsum of link lengths✓
3. Cproduct of modules✓
4. Dzero always at all joints✓

Toggle mechanism at dead centre has

1. Azero force transmission always✓
2. Bmechanical advantage approaching infinity theoretically✓
3. Cmaximum velocity ratio always✓
4. Dno fixed link✓

Peaucellier linkage generates

1. Aexact straight line motion from rotation✓
2. Bparabolic cam profile only✓
3. Chelical gear teeth only✓
4. Drandom vibration path✓

Whitworth quick return used in

1. Alathe headstock only✓
2. BCNC tool changer only✓
3. Ccar differential only✓
4. Dshaper and slotting machines✓

Geneva mechanism provides

1. Aconstant smooth rotation only✓
2. Blinear welding seam✓
3. Cintermittent rotary motion from continuous input✓
4. Dhydraulic pump flow✓

Ratchet and pawl allows

1. Abidirectional equal torque✓
2. Bvariable gear module✓
3. Ccam dwell elimination✓
4. Drotation in one direction only✓

Belt drive velocity ratio depends on

1. Aonly belt colour✓
2. Bonly sand grain size✓
3. Conly lathe feed rate✓
4. Ddiameters of driver and driven pulleys if no slip✓

Creep in belt drive is

1. Atotal belt fracture✓
2. Bzero tension condition✓
3. Cwelding arc instability✓
4. Drelative slip due to elastic stretch difference tight and slack sides✓

Chain drive compared to belt has

1. Ano slip and suitable for short centre distance high load✓
2. Bonly elastic stretch transmission✓
3. Cmust always be vertical✓
4. Dcannot work in oil✓

Synchronizing mesh in manual gearbox uses

1. Aonly open dog clutch always without sync✓
2. Bfriction cones or blocker rings to match shaft speeds✓
3. Chydraulic torque converter only✓
4. DCVT rubber belt only✓

Frictional clutch transmits torque by

1. Agear tooth only always✓
2. Bhydraulic fluid shear only in manual plate clutch✓
3. Cnormal force times coefficient of friction on mating surfaces✓
4. Delectromagnetic flux in plate clutch only always✓

Universal joint transmits motion between

1. Aperfectly constant velocity always alone✓
2. Bparallel non-intersecting axes without CV joint✓
3. Cinclined intersecting shafts with varying angular velocity✓
4. Dfixed welding only✓

Primary unbalance in reciprocating engine is

1. Afirst-order force along line of stroke at crank speed✓
2. Bonly constant torque always✓
3. Conly gear mesh frequency✓
4. Dzero at all speeds✓

Balancing machine measures

1. Aonly hardness HRC✓
2. Bonly surface Ra✓
3. Conly cam lift✓
4. Dvibration or force due to unbalance at supports✓

Dynamic balancing requires

1. Aonly force balance in one plane✓
2. Bresultant force and resultant couple both zero✓
3. Cno consideration of axial length✓
4. Dwelding symmetry only✓

Static balancing of rotating masses requires

1. Acouple in plane must be maximum✓
2. Bonly single mass considered always✓
3. Cgear teeth must be involute✓
4. Dresultant centrifugal force in any plane is zero✓

Turning moment diagram plots

1. Avelocity versus time only always✓
2. Bstress versus strain only✓
3. Ccrank torque versus crank angle for one cycle✓
4. Dpressure versus volume only✓

Flywheel rim has most mass at periphery because

1. Acentre hub stores more energy always✓
2. Bspokes alone sufficient always✓
3. Cbearing friction requires it✓
4. Dmoment of inertia increases with radius squared✓

Coefficient of fluctuation of speed is

1. Aflywheel weight only✓
2. Bgear pressure angle✓
3. Ccam lift divided by base circle✓
4. D(ω1 - ω2)/ω_mean✓

Flywheel stores energy as

1. Achemical fuel energy only✓
2. Brotational kinetic energy smoothing cyclic fluctuation✓
3. Celastic spring potential in governor only✓
4. Delectrical capacitor charge only✓

Hunting in governor means

1. Astable immediate stop✓
2. Bzero response to load✓
3. Ccontinuous speed oscillation about mean✓
4. Dfixed throttle always✓

Sensitiveness of governor is ratio of

1. Apower output to fuel flow only✓
2. Bflywheel energy to torque only✓
3. Crange of speed to mean speed✓
4. Dgear ratio to module✓

Proell governor extends flyballs

1. Ainward toward spindle only✓
2. Boutward on extended links for greater speed rise effect✓
3. Celiminates all sensitivity✓
4. Dreplaces throttle completely✓

Porter governor has

1. Ano controlling force element✓
2. Bonly hydraulic dashpot from start✓
3. Ccentral spring supporting flyball arms✓
4. Dfixed mass without arms✓

Watt governor is

1. Ahydraulic piston only✓
2. Belectronic ECU map only✓
3. Cpendulum type with flyballs on arms near spindle✓
4. Dturbocharger wastegate only✓

Governor maintains

1. Aconstant fuel tank level✓
2. Bconstant tyre pressure✓
3. Cnear-constant speed of engine despite load changes✓
4. Dconstant sand moisture✓

Reverted gear train has

1. Ainput and output shafts coaxial✓
2. Bparallel offset shafts only✓
3. Cintersecting axes only✓
4. Dno idler allowed ever✓

Epicyclic gear train has

1. Aone or more gears rotating on moving arm✓
2. Bonly fixed axis gears✓
3. Cno planet gears ever✓
4. Donly belt drives✓

Idler gear in train changes

1. Adirection of rotation without affecting ratio magnitude✓
2. Boverall velocity ratio value✓
3. Ccentre distance law only✓
4. Dmodule standard✓

Gear train velocity ratio is product of

1. Amodules only✓
2. Bpressure angles only✓
3. Cdriven teeth divided by driver teeth for each stage✓
4. Dface widths only✓

Worm gear pair has

1. Ahigh speed reduction and self-locking tendency possible✓
2. Bonly parallel axis layout✓
3. Cequal size pinion and gear always✓
4. Dno sliding contact ever✓

Bevel gears transmit motion between

1. Aparallel axes only always✓
2. Bnon-intersecting skew axes without hypoid✓
3. Cintersecting axes usually at 90 degrees✓
4. Dfixed ratio belt only✓

Rubbing velocity at pin joint equals

1. Aangular velocity times pin radius if one link fixed locally✓
2. Bsum of link lengths✓
3. Cproduct of modules✓
4. Dzero always at all joints✓

Kennedy theorem states I-centres of three bodies

1. Aform equilateral triangle always✓
2. Bcoincide at mass centre always✓
3. Clie on a straight line✓
4. Dare unrelated✓

Velocity diagram in relative motion shows

1. Aonly scalar gear teeth count✓
2. Bonly temperature entropy✓
3. Conly weld pool width✓
4. Dvector addition of absolute velocities of links✓

Precession angular velocity of gyro is

1. AIω divided by T✓
2. BT times ω only✓
3. Czero for all applied torque✓
4. DT / (Iω)✓

Gyroscope resists change in

1. Alinear speed along road only✓
2. Bfuel octane number✓
3. Csand binder type✓
4. Daxis of rotation due to angular momentum✓