8/14/2019 34526895-Constrained-Motion-Question-Bank-01.pdf

1/14

MohammedAsif

Name :

Roll No. :

Topic : Constraint Theory

Ph : 93913266 !" 6#6$66 !

M%C&AN'C( )*%(T'+N ,AN- 1. In each of the following questions, find the unknown velocity / velocities. Assume that the thread is

inextensible and taut in each case.

a) b) c)

d) e)

f) g) h)

www.asifiit hysics.vriti.com 1

http://www.asifiitphysics.vriti.com/http://www.asifiitphysics.vriti.com/

8/14/2019 34526895-Constrained-Motion-Question-Bank-01.pdf

2/14

i) !)

k) l )

m) n)

o) )

www.asifiit hysics.vriti.com "

http://www.asifiitphysics.vriti.com/http://www.asifiitphysics.vriti.com/

8/14/2019 34526895-Constrained-Motion-Question-Bank-01.pdf

3/14

". If the end of the cable at A is ulled down with a s eed of " m/s, determine the s eed at which block #rises.

$. If the end of the cable at A is ulled down with a s eed of "m/s, determine the s eed at which block #rises.

%. If the hydraulic cylinder at & draws in rod #' at " ft/s determine the s eed of the slider at A.

(. he hoist is used lift the load at *. If the end A of the chain is traveling downward at v A + (ft/s and the en# is traveling u ward at v # + "ft/s, determine the velocity of the load at *.

www.asifiit hysics.vriti.com $

http://www.asifiitphysics.vriti.com/http://www.asifiitphysics.vriti.com/

8/14/2019 34526895-Constrained-Motion-Question-Bank-01.pdf

4/14

. If the end A of cable is moving u wards at v A + 1%m/s, determine the s eed of block #.

-. *etermine the velocity of block # at the instant when the velocity of block A is 1 in/s, directed u wards.

. #lock ' is moving u at the constant s eed of in/s. iven that the elevations of blocks A and # arealways equal, determine the velocity of #.

0. he ulley arrangement shown is designed for hosing materials. If #' remains fixed while the lunger is ushed downward with a s eed of 1 m/s, determine the s eed of the load at A.

www.asifiit hysics.vriti.com %

http://www.asifiitphysics.vriti.com/http://www.asifiitphysics.vriti.com/

8/14/2019 34526895-Constrained-Motion-Question-Bank-01.pdf

5/14

12. In each of the following cases, some blocks are attached to some motor/s through ideal threads and ullies.he motors are giving out/taking in the threads at the rates shown in the figure. 3ind the unknown velocity

in each case. he blocks are moving such that threads are always taut.

a) b)

c) d) f)

g)

11. *etermine the time needed for the load at # to attain a s eed of m/s, starting from rest, if the cable isdrawn into the motor with an acceleration of 2." m/s " .

www.asifiit hysics.vriti.com (

http://www.asifiitphysics.vriti.com/http://www.asifiitphysics.vriti.com/

8/14/2019 34526895-Constrained-Motion-Question-Bank-01.pdf

6/14

8/14/2019 34526895-Constrained-Motion-Question-Bank-01.pdf

7/14

1-. he motor draws in the cable at ' with a constant velocity of v ' + %m/s. he motor draws in the cable at *with a constant acceleration of a * + m/s " . If v * + 2 when t + 2, determine 5a) the time needed for block Ato rise $m, and 5b) the relative velocity of block A with res ect to block # when this occurs

1 . If motors at A and # draw in their attached cables with an acceleration of a + 52."t) m/s ", where i is inseconds, determine the s eed of the block when it reaches a height of h + %m, starting from rest. Also, howmuch time does it take to reach this height8

10. he mine car ' is being ulled u the incline using the motor 9 and the ro e:and: ulley arrangementshown. *etermine the s eed v at which a oint on the cable must be traveling toward the motor to movethe car u the lane with a constant s eed of v + "m/s.

www.asifiit hysics.vriti.com -

http://www.asifiitphysics.vriti.com/http://www.asifiitphysics.vriti.com/

8/14/2019 34526895-Constrained-Motion-Question-Bank-01.pdf

8/14

"2. ;ach of the following roblems shows some blocks attached to each other through ideal strings. 3ind theunknown velocity at the instant shown in the figure.

a) b) c)

d) e) f)

g) h) i)

!)

www.asifiit hysics.vriti.com

http://www.asifiitphysics.vriti.com/http://www.asifiitphysics.vriti.com/

8/14/2019 34526895-Constrained-Motion-Question-Bank-01.pdf

9/14

"1. A girl flies a kite at a height of $22ft, the wind carrying the kite hori y com onents of velocity ofs here at the instant x + ?. Assume that the s here moves without rotating.

"(. 3ind the s eed of s here ' at instant R x $"= . @here ? is the radius of each s here. Assume that allthe s heres are always in contact and that they move without rotating.

www.asifiit hysics.vriti.com 0

http://www.asifiitphysics.vriti.com/http://www.asifiitphysics.vriti.com/

8/14/2019 34526895-Constrained-Motion-Question-Bank-01.pdf

10/14

" . ;ach of the following roblems shows an arrangement of identical frictionless s heres laced on ahori

8/14/2019 34526895-Constrained-Motion-Question-Bank-01.pdf

11/14

f) g)

h) i) !)

k)

" . In the given arrangement find x and y com onents of velocity of rod # at the instant rod A makes an anglewith vertical. ?od A is being rotated at constant angular s eed and length of each rod is l .

www.asifiit hysics.vriti.com 11

http://www.asifiitphysics.vriti.com/http://www.asifiitphysics.vriti.com/

8/14/2019 34526895-Constrained-Motion-Question-Bank-01.pdf

12/14

"0. In the given arrangement, find the s eed of block ' at the instant shown in the figure.

$2. In the given arrangement, block A is being moved downward with a constant s eed = A. At the instantshown in figure, find i) s eed of # ii) Angular s eed of rod A#.

$1. oint # of bar #* is being ushed to the right with constant velocity = A. At the instant shown in thefigure. findi) angular s eed of rod #* ii) velocity of oint # iii) s eed of oint *

$". he wheel is rolling without sli ing. Its centre has a constant velocity of 2. m/s to the left. 'om ute theangular velocity of bar #* and the velocity of end * when + 2.

$$. A block A is attached to the rim of a circular disk as shown in the figure. he wheel is rotating with aconstant angular s eed . 3ind the velocity of block A at the instant shown in the figure.

$%. In the given arrangement, find the s eed of oint ' at the instant shown in figure.

www.asifiit hysics.vriti.com 1"

http://www.asifiitphysics.vriti.com/http://www.asifiitphysics.vriti.com/

8/14/2019 34526895-Constrained-Motion-Question-Bank-01.pdf

13/14

-%1) a) :1m/s, b) 1%m/s, c) "m/s, d) 12m/s, e) m/s, f) (m/s, g) 1%m/s, h) %/$ m/s, i) -/% m/s, !) 1"m/s

k) 1 m/s, l ) %m/s, m) 1"m/s, n) 12m/s, o) 12m/s, ) "m/s") 2.(m/s $) 2.(m/s %) % ft/s ()

-) $" in/s ) % in/s 0)12)

a) "m/s, b) %m/s, c) m/s, d) 1m/s, e) m/s, f) m/s, g) m/s

11)

1 2s 1")

$" m/s 1$)

$. $s 1%)

2.m/

1)

1.2-s, (.0$ m/s 1-)

a) 1.""s, b) ".02m/s

1)

10)

m

"2) a) sm /$

"2, b) sm /"( , c) sm /sec12 , d) sm /cos

cos12

"

1

, e) sm /cot12 , f) ( )

m /cos

cos12

"1

"

g) ( ) smec /cos1% , h) "1 tan12 =V , smV /tantan12

1

"1

= , i) smV smV /cos12,/12 "1 == ,

!) ( ) sm /

cos1

12 +

"1)

"2 ft /sec "") a)

sm /$

12 , b) sm /$12 , c) (m/s, d) sm /

$

12, e) sm /$12

"$)

( )

( )

sin"

,sin"

"1

1"

V V V

V V V

y

x

+=

=

"%)

,tan"

,"

22

V V

V V y x ==

"() V

V V y x ,"

$$,

%

$ ==

")

a) = + 12/s, b) sm /$( , c) smV V C B /$(== , d) smV smV B A /(.-,/$( ==

"-. a) (m/s, b) ".(m/s, c) %2/0 m/s, d) 1(m/s, e) "2/0 m/s, f) (/ m/s, g) 1 m/s, h) hread cannot remain taut. &en

fall down with acceleration g.")

( ),cos rightward r V x =

( ),cos downward r V y =

"0)

righwardsl cos" $2)

i)rightwardst V V A B =

ii)

sini

V A=

iii) $

"

sin L

V a A

B =

rightwards

www.asifiit hysics.vriti.com 1$

http://www.asifiitphysics.vriti.com/http://www.asifiitphysics.vriti.com/

8/14/2019 34526895-Constrained-Motion-Question-Bank-01.pdf

14/14