Home Physics System of Particles Rotational Motion Mix A uniform rod of length 1 m and mass 4 kg is…
Physics System of Particles Rotational Motion Mix MCQ (Single Correct)

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

A
60 N, 40 N
B
75 N,25 N
C
65 N, 35 N
D
55 N, 45 N

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Text Solution

Verified by Experts
The correct answer is:
C

AB is the rod, and are the two knife edges. Since the rod is uniform, therefore its weight acts at its centre of gravity G.

Let and be reactions at the knife edges.

For the translational equilibrium of the rod.

…..(i)

For the rotational equilibrium, takings moments about G, we get

….. (ii)

Adding (i) and (ii), we get

Substituting this value in Eq. (i),

We get

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