Constraint Motion

BANSAL CLASSES  

 

2009

D a i ly ly Pr Pra c t ic ic e Pr Pro b l e m s  

 CL  C LASS : XI(J-BATCH)

Q.6 (a) (b)) (b (c)

Q.8

Slider Slid er blo block ck A mo move ve to to the the left left wit with h a cons constan tantt velo veloci city ty of 6 m/s. Determine the ve velocity of bl block b, b, thee ve th velo loci city ty of po port rtio ion n D of th thee ca cabl ble. e. thee rel th relat ativ ivee vel veloc ocit ity y of of por porti tion on C of of the the ca cabl blee wit with h respect to portion D. [Ans.(a) 2 m/s ↑, (b) 2 m/s ↓, (c) 8 m/s ↑ ] System is sho System shown wn in the the figu figure re and and man is pull pulling ing the rop ropee from from both both sides with constant speed s peed ‘u’. Then the velocity of the block will be (A*)

Q.9

DPP. NO.-27-28

3u 4

(B)

3u

(C)

2

(D) None

(B) 1 m/s (D) 4 m/s

In the the figure figure show shown, n, the the speed speed of the truck truck is v to the righ right. t. The The speed with which the block is moving up at θ = 60° is : (A) v

Q.11

4

System is show System shown n in fig figure ure and wed wedge ge is is movin moving g towar towards ds left left with with spe speed  ed  2 m/s. Then velocity of the block bloc k B will be (A) 3 m/s (C*) 2 m/s

Q.10

u

(B) 2v 3

(C*) 3v 4

(D) none

Determine the Determine the relatio relationshi nship p that that govern governss the velo velocity city of four four cylind cylinder  er   veelocities as positive down.  v [Ans: 4vA + 8vB + 4vC + vD = 0]

Q.13

For the the system system shown, shown, calcu calculate late veloci velocity ty and accel accelerati eration on of C.Th C.Thee velocity velocity and acclerations of A and B with respect to ground are marked. [Ans: Vc = 4m/s↓, aC = 5m/s2↓]

Q.14

If the string stringss is inextensi inextensible, ble, determin determinee the velocity velocity u of each block block in in terms terms of v and θ.

(i) Fig. (A) u = _________. (ii) Fig. (B) u = _________.

[Ans. (i)

v 2cos θ

, (ii)

v cos θ

]