kinematics of machinery: unit 2: velocity & accelaration: objective questions from gate with...

7/25/2019 KINEMATICS OF MACHINERY: UNIT 2: VELOCITY & ACCELARATION: Objective Questions From Gate With Solutions

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OBJECTIVE QUESTIONS FROM GATE/IES/IAS ( UNIT II )

1. Instantaneous centre of the body rolling with sliding on a stationary curved surface lies

[GATE-2004]

(a) At the point of contact

(b) On the common normal at the point of contact

(c) On the common tangent at the point of contact(d) At th !"t# $% !'t $% th tt*$"#+ %!

A",# d

2. The carioles component of acceleration is present [GATE-2002](a) !bar mechanism with turning pairs (.) h# !h"*

(c) slider!cran" mechanism (d) #cotch $o"e mechanismA",# .

%. &hat is the number of instantaneous centers for an eight lin" mechanism' IAS-2004](a) 1 (.) 21 (c) %* (d)+

A",# .

. The given figure shows a slider cran" mechanism in which lin" 1 is fi,ed. The number ofinstantaneous centers would be [IAS-331](a) (b) (!) (d)12

A",# !

. A slider sliding at 1* cm-s on a lin" which is rotating at * r.p.m. is sub/ected to 0oriolis

acceleration of magnitude [IAS-2002]

(a) * 2cm -s2(b) *. cm -s2(!) 40 cm / s2(d) cm-s2

A",# !


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. A body in motion will be sub/ected to 0oriolis acceleration when that body is [IAS 334]

(a) in plane rotation with variable velocity(b) in plane translation with variable velocity

(c) in plane motion which is a resultant of plane translation and rotation

(d) #t#*"d t$ #$tt ,h*5 5*d*"6 $'# "$th# .$d+

3. 4ow many instantaneous centers of rotation are there for the mechanism shown in the figure

given above' [IAS-2007]

(a) (b) 1*

(!) 8

(d) 21

A",# !

+.There are two points 5 and 6 on a planar rigid body. The relative velocity between the two

points [GATE-2009]

(a) #hould always be along 56(b) 0an be oriented along any direction

(!) Sh$&5d 5,+ . #"d*!&5# t$ :Q

(d) #hould be along 65 when the body undergoes pure translation

A",# !

7. The figure below shows a planar mechanism with single degree of freedom. The instant centre

2 for the given configuration is located at a position [GATE-2004](a) 8 (b)9 (!)N (d):

A",# !


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1*. 9atch the approaches given below to perform stated "inematics-dynamics analysis of

machine. [GATE -2003]Analysis Approach

5. 0ontinuous relative rotation 1. ;Alemberts principle

6. . 9obility %. =rashoffs law

#. ;ynamic!static analysis . ?ennedys theoram

(a) 5!1@ 6!2@ >!%@ #! (.) :-9; Q-4; R-2; S- (c) 5!2@ 6!%@ >!@ #!1 (d) 5!@ 6!2@ >!1@ #!%

A",# .

11. or the audio cassette mechanism shown in figure given below where is the instantaneouscentre of rotation (point) of the two spools' [GATE-2004]

(a) 5oint 5 lies to the left of both the spools but at infinity along the line /oining A and 4

(b) 5oint 5 lies in between the two spools on the line /oining A and 4@ such that 54B2A5

(c) 5oint 5 lies to the right of both the spools on the line /oining A and 4@ such that A4BA5

(d) :$*"t : 5* t th *"t#!t*$" $% th 5*"


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1%. A wheel is rolling on a straight level trac" with a uniform velocity v. The instantaneous

velocity of a point on the wheel lying at the mid!point of a radius [IES-2000](a) varies between % v-2 and ! v-2 (.) '#* .t," '/2 "d - '/2

(c) varies between % v-2 and ! v-2 (d) does not vary and is eDual to v

A",# .

1. Two points@ A and E located along the radius of a wheel@ as shown in the figure above@ havevelocities of +* and 1* m-s@ respectively. The distance between points A and E is %** mm. The

radius of wheel is [IES-2009]

(a) ** mm

(b) ** mm(c) ** mm

(d) 700

A",# d

1%. In the figure shown@ the relative velocity of lin" 1 with respect to lin" 2 is 12 m-sec. lin" 2

rotate at a constant speed of 12* rpm. The magnitude of carioles component of acceleration oflin" 1 is [GATE-2004]

() 902 /2 (b)* m-s2 (c)*7 m-s2 (d)12*+ m-s2

A",#


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1. 0onsider the following statements regarding motions in machinesF [IES-200]

1. Tangential acceleration is a function of angular velocity and the radial acceleration is afunction of angular acceleration.

2. The resultant acceleration of a point A with respect to a point E on a rotating lin" is

perpendicular to AE.%. The direction of the relative velocity of a point A with respect to a point E on a rotating lin" is

perpendicular to AE.

&hich of these statements is-are correct'(a) 1 alone (b) 2 and % (c) 1 and 2 (d) 9 5$"

A",# d

1. 0onsider a four!bar mechanism shown in the given figure. The driving lin" ;A isrotating uniformly at a speed of 1** r.p.m. cloc"wise. The velocity of A will be [IES-333](a) %** cm-s (.) 94 !/ (c) %2 cm-s (d) ** cm-s

A",# d

1. AE0; is a four!bar mechanism in which A; B %* cm and 0; B cm. A;


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and 0; are both perpendicular to fi,ed lin" A;@ as shown in the figure. If

velocity of E at this condition is


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2*. The total number of instantaneous centers for a mechanism consisting of n lin"s is [IES-31]

(a) (b) (c) (d)

A",# d

kinematics of machinery: unit 2: velocity & accelaration: objective questions from gate with...

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