Download the app

Questions  

The maximum value of mass of block C so that neither A nor B moves is (given that mass of A is 100 kg and that of B is 140 kg. Pulleys are smooth and friction coefficient between A and B and between B and horizontal surface is m= 0.3) (Take g = 10ms-2 ).

 

a
210 kg
b
190 kg
c
185 kg
d
162 kg

detailed solution

Correct option is D

Maximum friction that can be obtained between A and B is f1=μmAg= 0.3 100 10= 300 N and maximum friction between B and ground is f2=μmA+ mBg= 0.3100 + 140 10 = 720 NDrawing free-body diagrams of A, B and C in limiting caseEquilibrium of A gives T1= f1= 300NEquilibrium of B gives 2T1+ f1+ f2= T2 or T2=2300 + 300 + 720 = 1620 Nand equilibrium of C gives mCg=T2or 10mC= 1620 or mC = 162 kg

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


Similar Questions

A 4 kg block A is placed at the top of 8 kg block B which rests on a smooth table. A just slips on B when a force of 20 N is applied on A. The maximum horizontal force F required to make both A & B move together is


phone icon
whats app icon