5) angular displacement of the rod shown in figure below is defined as θ=(4∩/25)t2 where θ is in radian and time 't' in second . The collar B slides along the rod in such a way that its distance from O is r=12t2 where r is in metre and t is in second. The velocity of the collar at θ=45° is
a) 55.0 m/s
b) 49.2 m/s
c) 38.2 m/s
d) 67.2 m/s
1dont know d answer...will be better if u put up your solution....
1cant put up entire solution i am too lazy for all that typing.... ;)
i can tell u how I proceeded.
put θ =∩/4
in θ=(4∩/25)t2
and find time
at this moment of time, rod has one tangential velocity and one along rod
to find tangential vel
=ωr
to get ω differentiate θ and put t
to get r use given expression(put t)
to find tangential velocity
dfferentiate r and put t
find resultant