106
Asish Mahapatra
·2009-11-09 19:46:35
The only criteria is that since no external force acts on the 10M and M system, the x coordinate of the centre of mass should be fixed
So, if 10M moves x1 to right and M moves x2 to left then 10M.x1 + M.x2 = 0
=> x2 = -10x1 ... (I)
also the total relative length moved by the system is 2.2m
So, x1+ x2 = 2.2 ... (II)
Solve these two and get answer
24
eureka123
·2009-11-09 19:52:50
rite way is given by asish..
but if u can remeber a formula..
x=mhcotθ/m+M
then also its OK [1](atlest for this ques)
1
fibonacci
·2009-11-09 19:55:27
asish i didnt get the second eqn. the relative length one
@eureka: i've never come across this formula :D
24
eureka123
·2009-11-09 22:13:08
ok..here is derivation of that formula..
Since net force on wedge +block system=0 in horz direction..so CM doesnt displace in horz direction
So,
x.M=xr.m
here xr is relative diplacement of block wrt ground...(in op direction to wedge ofcourse)
and x=dipslaceemnt of wedge
=> x.M=(-(x-hcotθ)).m
=> x.M=(hcotθ-x)m
Solve for x now [1]