A uniform rod of length 1 m and mass 4 kg is supported on two knife – edges placed 10 cm from each end. A 60 N weight is suspended at 30 cm from one end. The reactions at the knife edges is
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
60 N, 40 N
b
75 N, 25 N
c
65 N, 35 N
d
55 N, 45 N
answer is C.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
AB is the rod. K1 and K2 are the two knife edges. Since the rod is uniform, therefore its weight acts at its centre of gravity G.Let R1 and R2 be reactions at the knife edges. For the translational equilibrium of the rod,R1+R2−60N−40 N=0R1+R2=60N+40N=100N ....... (i)For the rotational equilibrium, taking moments about G, we get−R1(40)+60(20)+R2(40)=0R1−R2=120040=30N ........ (ii)Adding (i) and (ii), we get 2R1=130N or R1=65NSubstituting this value in Eq. (i), we get R2=35N